Acsfrb24 (Thermodynamic Solution)
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musfikulalam2004Acsfrb24 (Thermodynamic Solution)
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musfikulalam2004ZvcMwZwe`¨v Final Revision Batch 1
cÖ_g Aa¨vq ZvcMwZwe`¨v
Thermodynamics
Topicwise CQ Trend Analysis
UwcK 2016 2017 2018 2019 2021 2022 2023 †gvU
ZvcgvÎv cwigv‡ci bxwZ (_v‡g©vwgUvi) Ñ Ñ Ñ Ñ 1 Ñ Ñ 1
ZvcMwZwe`¨vi 1g m~Î Ñ 2 Ñ 1 3 2 3 11
iƒ×Zvcxq cÖwµqvi m~Î 1 Ñ Ñ 2 3 6 1 13
m‡gvò I iæ×Zvcxq cÖwµqvq K…ZKvR Ñ Ñ Ñ 1 2 6 6 15
Zvc, Af¨šÍixY kw³ I KvR Ñ 2 Ñ 4 Ñ 1 1 8
Kv‡b©v Pµ I Kv‡b©v BwÄb ev cÖZ¨vMvgx BwÄb 2 3 2 1 9 2 5 24
Zvcxq BwÄb: †iwd«Rv‡iU Ñ Ñ Ñ Ñ 1 Ñ Ñ 1
Bwćbi `ÿZv 3 5 1 2 9 2 1 23
GbUªwc I wek„•Ljv Ñ 2 1 4 3 4 1 15
* we.`ª.: 2020 mv‡j GBPGmwm cixÿv AbywôZ nqwb|
weMZ mv‡j †ev‡W© Avmv m„Rbkxj cÖkœ 2| 56 g bvB‡Uªv‡Rb M¨vm‡K GKwU Bwćbi mvnv‡h¨ cÖ_‡g
m‡gvò cÖwµqvq I c‡i iæ×Zvcxq cÖwµqvq AvqZb wZb¸Y
1| wb‡Pi DÏxcKwU jÿ¨ Ki: [Xv. †ev. 23; w`. †ev. 23]
P(N/m2) Kiv n‡jv| BwÄbwU 127C Ges 27C ZvcgvÎvq Kvh©Ki
40 R Av‡Q| (bvB‡Uªv‡R‡bi AvYweK fi 28 g)
[Xv. †ev. 23; w`. †ev. 23]
20 Q (K) ZvcMwZwe`¨vi k~b¨Zg m~ÎwU wee„Z Ki|
P
(L) ms‡e`bkxj •e`y¨wZK h‡š¿ mv‡›Ui e¨envi Riæwi †Kb?Ñ
S T
V(m3) e¨vL¨v Ki|
4 8
wP‡Î M¨v‡mi Pvc I ZvcgvÎvi cwieZ©b †`Lv‡bv n‡q‡Q| (M) BwÄbwUi Kg©`ÿZv wbY©q Ki|
GLv‡b Q †_‡K R G †h‡Z ZvcMZxq e¨e¯’vq 80 J
mgvavb: Kg©`ÿZv, = 1 – T2 100%
T
Zvckw³ mieivn Kiv n‡q‡Q| 1
(K) Af¨šÍixY kw³ Kv‡K e‡j?
= 1 –
27 + 273
100%
(L) iæ×Zvcxq cÖmvi‡Y wm‡÷g kxZj nqÑ e¨vL¨v Ki| 127 + 273
(M) DÏxcK Abymv‡i R Ae¯’v‡b Avm‡Z ZvcMZxq = 25%
e¨e¯’vwU‡Z AšÍt¯’ kw³i cwieZ©b KZ?
A_©vr BwÄbwUi Kg©`ÿZv 25%| (Ans.)
DËi: K…ZKvR, dW = PdV
(N) DÏxc‡Ki †Kvb cÖwµqvq K…ZKvR †ewk n‡e?Ñ MvwYwZK
dW = 0 [∵ dV = 0]
mieivnK…Z Zvckw³, dQ = dU + dW we‡køl‡Yi gva¨‡g gZvgZ `vI|
dU = dQ – 0 = 80 J mgvavb: m‡gvò cÖwµqvq,
A_©vr R Ae¯’v‡b Avm‡Z AšÍt¯’ kw³i cwieZ©b 80 J|
W1 = nRT1ln
V2 56
n=
(Ans.) V1 28
(N) DÏxcK Abymv‡i, PQRP P‡µi cÖwZwU av‡c Kv‡Ri
= 2 8.314 400 ln
3V = 2 mol
Zzjbv Ki| V
mgvavb: dWPQ = PPQdVPQ
W1 = 7307.09 J (Ans.)
= 20 (8 – 4)
dWPQ = 80 J
iæ×Zvcxq cÖwµqvq,
nR
dWQR = 0 [∵dV = 0] W2 = (T – T2)
dWRP = PQRS Gi †ÿÎdj –1 1
1 2 8.314
= PQ (PS + RT) = (400 – 300)
2 1.4 – 1
1
= 4 (20 + 40) W2 = 4157 J
2
W1 > W2
dWRP = 120 J
dWRP > dWPQ > dWQR (Ans.) A_©vr m‡gvò cÖwµqvq K…ZKvR †ewk n‡e| (Ans.)
nd
2 HSC Physics 2 Paper Chapter-1
3| GKwU ZvcMZxq e¨e¯’vq 14 g bvB‡Uªv‡Rb M¨vm 30C (N) DÏxc‡Ki Kv‡b©v Bwćbi ZvcMÖvn‡Ki ZvcgvÎv wظY
ZvcgvÎvq I 1 evqygÐjxq Pv‡c iwÿZ Av‡Q| w¯’iPv‡c G‡Z Ki‡j `ÿZv A‡a©K n‡e wKbvÑ MvwYwZK we‡kølY K‡iv|
mgvavb: Kg©`ÿZv, = 1 – T2 100%
mieivn Kiv n‡j ZvcgvÎv 35C nq| cieZ©x‡Z Dc‡iv³ T
cÖwµqvwU m‡gvò cÖwµqvq GKwU Avw` Ae¯’v‡b n‡Z GKB 1
= 1 – 100%
AvqZ‡bi cwieZ©b K‡i K…Z Kv‡Ri cwigvY Kiv n‡jv (R = 387
8.3 Jmol–1K–1, CV = 20.8 Jmol–1K–1) [iv. †ev. 23] 827
(K) Zv‡ci hvwš¿K mgZv Kx? = 53.204%
(L) Mvwoi Uvqvi we‡ùvi‡Yi mgq Kx ai‡bi ZvcMZxq ZvcMÖvn‡Ki ZvcgvÎv wظY Ki‡j,
cÖwµqv msNwUZ nq? e¨vL¨v K‡iv|
= 1 –
2T2
100%
(M) DÏxc‡K w¯’i Pv‡ci †ÿ‡Î Af¨šÍixY kw³i cwieZ©b T1
wbY©q K‡iv| 2 387
= 1 –
100%
mgvavb: PdV = nRdT 827
14 = 6.409%
PdV = 8.3 (35 – 30)
28 6.409
PdV = 20.75 Nm GLb, = 53.204
ZvcMwZwe`¨vi cÖ_g m~Îvbyhvqx,
dQ = dU + dW = 0.12 0.5
dU = dQ – dW
= nCPdT – PdV
A_©vr ZvcMÖvn‡Ki ZvcgvÎv wظY Ki‡j `ÿZv A‡a©K
14 n‡e bv| (Ans.)
= (20.8 + 8.3) (35 – 30) – 20.75
28 5| wØ-cvigvYweK M¨vm m¤^wjZ GKwU Kv‡b©v BwÄb 500 K
dU = 52 J ZvcgvÎvi Drm n‡Z Zvc MÖnY K‡i| cÖwZ cÖmvi‡Y Gi
A_©vr w¯’i Pv‡c Af¨šÍixY kw³i cwieZ©b 25 J| (Ans.)
AvqZb wZb¸Y nq| [h. †ev. 23]
(N) w¯’i Pvc cÖwµqv Ges m‡gvò cÖwµqvq DÏxc‡K wb‡Y©q
(K) Zwor w؇giæ Kv‡K e‡j?
K…Z Kv‡Ri gvb mgvb n‡e wK? MvwYwZK we‡kølY Ki|
(L) iæ×Zvcxq ms‡KvP‡bi mgq wm‡÷‡gi Af¨šÍixY kw³
mgvavb: w¯’i Pvc cÖwµqvq, w¯’iPv‡c,
W1 = PdV V2 T2 35 + 273 e„w× cvqÑ e¨vL¨v Ki|
= 20.75 J = = (M) DÏxc‡Ki BwÄbwUi cÖv_wgK `ÿZv wbY©q Ki|
V1 T1 30 + 273
m‡gvò cÖwµqvq, V2 mgvavb: iæ×Zvcxq cÖmvi‡Yi †ÿ‡Î,
= 1.017
W2 = nRT1 ln
V2 V1 –1 –1
T1V1 = T2V2
V1
V1 – 1
W2 = 0.5 8.3 (30 + 273) ln(1.017) T2 =
W2 = 20.581 J
V2 T1
1 1.4–1
W1 > W2 T2 =
A_©vr Dfq‡ÿ‡Î K…Z Kv‡Ri gvb mgvb n‡e bv| 3 500
4| P T2 = 322.197 K
= 1 – 100%
Q1 = 500 J T2
A T1
= 1 –
322.197
100%
B 500
T1 = 827 K = 35.561%
D
A_©vr BwÄbwUi cÖv_wgK `ÿZv 35.561%| (Ans.)
T2 = 827 K C (N) Bwćbi `ÿZv 60% Ki‡Z n‡j Kx e¨e¯’v wb‡Z n‡e?
V [Kz. †ev. 23] MvwYwZK we‡kølY Ki|
wP‡Î GKwU K‡Y©v Bwćbi P-V †jLwPÎ †`Lv‡bv n‡jv|
mgvavb: Kg©`ÿZv 60% Kiv hv‡e `ywU Dcv‡q|
(K) Zvc BwÄb Kv‡K e‡j?
ZvcMÖvn‡Ki ZvcgvÎv cwieZ©b K‡i,
(L) M¨v‡mi †gvjvi Av‡cwÿK Zvc `yB cÖKvi †Kb?
(M) BwÄb KZ…©K K…Z Kv‡Ri cwigvY wbY©q K‡iv T2
= 1 – 100%
mgvavb: Kv‡b©v Bwćbi †ÿ‡Î, T1
Q2 T 2
=
T2 100%
60% = 1 –
Q1 T 1 500
Q1 – Q2 T 1 – T 2 T2
= = 0.4
Q1 T1 500
W 827 – 387
500
=
827
[∵ W = Q1 – Q2] T2 = 200 K
W = 266.022 J ZvcgvÎv Kgv‡Z n‡e = (322.197 – 200) K
A_©vr, BwÄb KZ…©K K…ZKv‡Ri cwigvY 266.022 J (Ans.) = 122.197 K
ZvcMwZwe`¨v Final Revision Batch 3
ZvcDr‡mi ZvcgvÎv cwieZ©b K‡i, Avevi,
V4 –1 T2
= 1 –
T2
100% DA As‡k, =
T1 V1 T1
(1.4–1)
60% = 1 –
322.197 V 4 400
100% =
T1 2.5 10
–3
600
322.197 V4 = 2.94 10–3 m3
= 0.4
T1 (i) n‡Z cvB,
T1 = 805.493 K 2.94 10–3
Q2 = – 1 8.314 400 ln
ZvcgvÎv evov‡Z n‡e = (805.493 – 500) K 5.292 10–3
= 305.493 K = 1954.743 J
Q2
BwÄbwUi `ÿZv 60% Ki‡Z n‡j Zvc Dr‡mi = 0.667
Q1
ZvcgvÎv 305.493 K e„w× A_ev Zvc MÖvn‡Ki ZvcgvÎv
Avevi,
122.197 K n«vm Ki‡Z n‡e| (Ans.)
T2
6| K¬wmqvm wc÷b wmwjÛv‡i GK †gvj nvB‡Wªv‡Rb M¨vm T1
= 0.667
wb‡q P-V Gi †jLwPÎ wb‡¤œ cÖ`wk©Z PµwUi Abyiƒc GKwU Q2 T 2
Pµ †c‡jb| K¬wmqv‡mi g‡Z GwU GKwU cÖZ¨veZ©x Pµ| =
Q1 T 1
[P. †ev. 23] A_©vr K¬vwmqv‡mi `vwewU †hŠw³K|
Y T1 = 600 K 7| [e. †ev. 23]
T2 = 400 K
A(P1, V1, T1)
4
P 105 Nm–2
Q1 A T1 = 500C
B(P2, V2, T1) B
D
2.5 Q2
(P4, V4, T2)
C(P3, V3, T2)
(0, 0) 2.5 4.5
X Pvc (P) D C
V 10–3 m3 T2 = 200C
(K) ZvcMwZwe`¨vi 2q m~Î wee„Z Ki| Q2 = 600 J
(L) iƒ×Zvcxq cÖwµqvq M¨vm‡K msKzwPZ Ki‡j ZvcgvÎv AvqZb (V)
e„w× cvqÑ e¨vL¨v K‡iv| Dc‡ii P-V wPÎwU GKwU cÖZ¨veZ©x Zvc Bwćbi|
(M) DÏxcK Abymv‡i nvB‡Wªv‡Rb M¨vm‡K B n‡Z C †Z (K) e× wm‡÷g Kx?
Avb‡Z K…ZKv‡Ri cwigvY wbY©q K‡iv| (L) m‡gvò cÖwµqvq Af¨šÍixY kw³i cwieZ©b k~b¨ †Kb?
nR e¨vL¨v Ki|
mgvavb: WBC = (T – T2)
–1 1
(M) DÏxc‡Ki Zvc Bwćb m‡gvò cÖmvi‡Y G›Uªwci cwieZ©b
1 8.314
= (600 – 400) wbY©q Ki|
(1.4 – 1)
WBC = 4157 J mgvavb: G›Uªwci cwieZ©b, cÖZ¨veZ©x BwÄb nIqvq,
A_©vr nvB‡Wªv‡Rb M¨vm‡K B n‡Z C-†Z Avb‡Z dS =
Q1 600
=
Q1 Q2
=
K…ZKv‡Ri cwigvY 4157 J| (Ans.) T 1 473 T1 T2
(N) K¬wmqv‡mi `vwewU †h․w³K wK bv e¨vL¨v K‡iv| ds = 1.268 J/K 600
=
(200 + 273)
mgvavb: Q1 = WAB [∵ m‡gvò cÖwµqvq, dQ = dW]
Q 600
1
= nRT1ln
V2 T1
=
473
V1
A_©vr m‡gvò cÖmvi‡Y G›Uªwci cwieZ©b 1.268 J/K.
= 1 8.314 600 ln
4.5
2.5 (Ans.)
Q1 = 2932.115 J (N) Dr‡mi ZvcgvÎv w¯’i †i‡L BwÄbwU `ÿZv 1.5 ¸Y Kiv
Q2 = – WCD [∵ m‡gvò ms‡KvPb] m¤¢e wKbv? MvwYwZKfv‡e we‡kølY Ki|
mgvavb: BwÄbwUi `ÿZv, = 1 – T2 100%
T
Q = – nRT ln ...... (i)
V4
2
V3 2 1
= 1 –
V3 –1 T2 200 + 273
BC Ask n‡Z, = 500 + 273 100%
V2 T1
(1.4–1) = 38.81%
V 3 400
=
4.5 10–3 600 `ÿZv 1.5 ¸Y Ki‡j, = 1.5 38.81%
V3 = 5.292 10–3 m3 = 58.215%
nd
4 HSC Physics 2 Paper Chapter-1
T2 100%
= 1 –
9| DÏxcK wP‡Îi Dfq K‡b©vP‡µ Kvh©wbe©vnK e¯‘ wn‡m‡e
T1 1 †gvj wØcvigvYweK M¨vm e¨eüZ n‡q‡Q| Pµ `ywUi cÖwZ P‡µ
T2 ms‡KvPb I cÖmvi‡Yi AbycvZ h_vµ‡g 1 : 3 Ges 1 : 4|
58.215% = 1 – 100%
(R = 8.31 Jmol–1K–1)
500 + 273 [g. †ev. 23]
T2 Y 1g Kv‡b©vPµ Y 2q Kv‡b©vPµ
= 0.418
773
(P) (P)
T2 = 323 K = 50C A(P1, V1) A(P1 , V1 )
T1 = 60C T1 = 70C
A_©vr Dr‡mi ZvcgvÎv w¯’i †i‡L BwÄbwUi `ÿZv 1.5 B(P2, V2) B(P2, V2)
¸Y Kiv m¤¢e| (Ans.) T2 = 211K T2 = 211K
8| Y C(P3, V3) C(P3 , V3 )
D(P4, V4) D(P4 , V4 )
6
Pvc P(105 Nm–2)
T2 = 300 K T1 = 400 K X
5 V V X
A C (K) †iwd«Rv‡iU‡ii Kg©m¤úv`b mnM Kv‡K e‡j?
4
3
(L) mgAvqZb cÖwµqvq wm‡÷‡g cÖ`Ë Zvc m¤ú~Y©UvB
B D Af¨šÍixY kw³ e„w×i Kv‡R e¨eüZ nq| e¨vL¨v K‡iv|
2 (M) DÏxc‡Ki 1g Kv‡b©vP‡µi Kvh©wbe©vnK e¯‘‡K B †_‡K C
1 †Z wb‡Z †gvU K…ZKvR wbY©q K‡iv|
O X mgvavb: iæ×Zvcxq cÖwµqvq,
1 2 3 4 5 nR
(0,0)
AvqZb W= (T – T2)
–1 1
wP‡Î 1 mole cwigvY †Kv‡bv M¨v‡mi †ÿ‡Î `ywU m‡gvò †jL
1 8.31
†`Lv‡bv n‡q‡Q| M¨vmwUi w¯’i AvqZb †gvjvi Av‡cwÿK Zvc = (60 + 273) – 211}
1.4 – 1 {
25.18 J mol–1K–1| [wm. †ev. 23] W = 2534.55 J
(K) GbUªwc Kv‡K e‡j? A_©vr 1g Kv‡b©vP‡µ B †_‡K C-†Z wb‡Z †gvU K…ZKvR
(L) Zvc Drm I ZvcMÖvn‡Ki ZvcgvÎvi g‡a¨ cv_©K¨ K‡g 2534.55 J| (Ans.)
†M‡j Bwćbi `ÿZvI K‡g hvqÑ e¨vL¨v Ki| (N) DÏxc‡Ki Abymv‡i, †Kvb Kv‡b©v PµwU †ewk Kvh©Ki,
(M) CD As‡k K…ZKv‡Ri cwigvY wbY©q K‡iv| MvwYwZK we‡kølY K‡i gZvgZ `vI|
mgvavb: m‡gvò cÖmvi‡Y,
mgvavb: Kg©`ÿZv, = 1 – T2 100%
T
K…ZKvR W = nRT1 lnVD
V 1
1 = 1 –
211
60 + 273 100%
C
= 1 8.314 400 ln
4
2 1 = 36.637%
2 = 1 –
W = 2305.13 J 211
CD As‡k K…ZKv‡Ri cwigvY 2305.13 J| (Ans.) 70 + 273 100%
(N) A n‡Z C †Z wb‡Z Zvckw³i cwieZ©b, B n‡Z D †Z 2 = 38.484%
wb‡Z Zvckw³i cwieZ©‡bi mgvb n‡e wK bv? ∵ 2 > 1
mgvavb: CP = CV + R A_©vr wØZxq Kv‡b©v PµwU †ewk Kvh©Ki| (Ans.)
= 25.18 + 8.314 10| 0C ZvcZgvÎvi 0.07 kg eid‡K GKwU wbw`©ó D”PZv
CP = 33.494 J mole–1 K–1 †_‡K †d‡j †`qv n‡jv| G‡Z wefe kw³i 55% Zv‡c
A n‡Z C †Z, iƒcvšÍwiZ n‡jv Ges GB Zvc mg¯Í eid‡K Mwj‡q w`‡jv|
Zvckw³i cwieZ©b, wKQz mgq ci eidMjv cvwbi ZvcgvÎv 5C G DbœxZ n‡jv|
dQAC = dU + dWAC †`qv Av‡Q, eid Mj‡bi Av‡cwÿK myßZvc 3.36 105 J
= nCP(T1 – T2) + PAC (VC – VA) kg–1 Ges cvwbi Av‡cwÿK Zvc 4200 Jkg–1k–1. [Xv. †ev. 22]
= 1 33.494 (400 – 300) + 4 105 1 (K) ZvcMwZwe`¨vi wØZxq m~ÎwU wee„Z Ki|
dQAC = 403349.4 J (L) mgAvqZb cÖwµqvq KvR k~b¨ †Kb? e¨vL¨v `vI|
B n‡Z D †Z, (M) eid LÐwU KZ D”PZv †_‡K †djv n‡qwQj?
Zvckw³i cwieZ©b, mgvavb: cÖkœg‡Z,
dQBD = dU + dWBD 55% wefekw³ = cÖ‡qvRbxq Zvckw³
= nCP(T1 – T2) + PBD (VD – VB) 0.55 mgh = mlf
= 1 33.494 (400 – 300) + 2 105 2 lf 3.36 105
h= =
dQBD = 403349.4 J 0.55 g 0.55 9.8
dQAC = dQBD h = 62337.662 m
A_©vr A n‡Z C †Z wb‡Z Zvckw³i cwieZ©b, B n‡Z A_©vr eid LÐwU †djv n‡qwQj 62337.662 m
D †Z wb‡Z Zvckw³i cwieZ©‡bi mgvb n‡e| (Ans.) D”PZv †_‡K| (Ans.)
ZvcMwZwe`¨v Final Revision Batch 5
(N) eid Mjb Ges eidMjv cvwbi ZvcgvÎv e„w× †Kvb cwiewZ©Z ÿgZvq MÖvn‡Ki Zvckw³i cwieZ©b:
†ÿ‡Î cwi‡e‡ki Dci AwaK cÖfve co‡e? GbUªwci Q2
= 1 – 100%
Av‡jv‡K e¨vL¨v Ki| Q1
dQ Q2
mgvavb: G›Uªwci cwieZ©b, dS = T 0.64 = 1 –
1250
Q Q2 = 450 J
1g †ÿ‡Î, dS1 = T 1
1 ZvcgvÎv n«vm = Q2 – Q2
mlf = (700 – 450)
=
T = 250 J
0.07 3.36 105 A_©vr Dr‡mi ZvcgvÎv 694.444 J e„w× K‡i ev MÖvn‡Ki
=
273 ZvcgvÎv 250 J n«vm K‡i `ÿZv e„w× Kiv m¤¢e| (Ans.)
dS1 = 86.154 J/K 12| [g. †ev. 22]
T P(atm)
2q †ÿ‡Î, dS2 = ms lnT2 1 atm = 105 Nm–2
1
5.27 A = 1.4
= 0.07 4200 ln
278
273 D we›`y‡Z ZvcgvÎv = 330 K
dS2 = 5.336 J/K 4 B
∵ dS1 > dS2 2 D
A_©vr eid Mj‡b cwi‡e‡ki Dci AwaK cÖfve co‡e|
V(m3)
(Ans.) 500 1000
11| GKwU Kv‡b©v BwÄb 500 k ZvcgvÎvq Drm †_‡K 1250 J (K) Zwor Pz ¤ ^ K xq Zi½ Kx?
Zvc MÖnY K‡i Ges Zvc MÖvn‡K 700 J Zvc eR©b K‡i| (L) †iW‡bi Aa©vqy 2.83 w`b ej‡Z Kx eyS?
(M) DB ms‡KvP‡b K…ZKv‡Ri gvb wbY©q Ki|
Bwćbi Zvc Drm I ZvcMÖvnK Df‡qiB Zvckw³i cwieZ©b
mgvavb: PV = nRT
mv‡c‡ÿ Bwćbi `ÿZv 20% e„w× Kiv m¤¢e| [g. †ev. 22] PV
(K) Af¨šÍixY kw³ Kv‡K e‡j? n=
RT
(L) ÔDòZvwgwZ c`v_© wnmv‡e cvi` e¨envi myweavRbKÕÑ 2 105 1000
=
e¨vL¨v Ki| 8.314 330
(M) Zvc MÖvn‡Ki ZvcgvÎv wbY©q Ki| n = 72896.392 mol
mgvavb: Kv‡b©v Bwćbi †ÿ‡Î, K…ZKvR,
W = – nRT ln
VB
Q1 Q2
=
T1 T2 VD
= – 72896.392 8.314 330 ln
500
1250 700
= 1000
500 T2
W = 1.386 108 J
T2 = 280 K A_©vr DB ms‡KvP‡b K…ZKvR 1.386 108 J (Ans.)
A_©vr Zvc MÖvn‡Ki ZvcgvÎv 280 K| (Ans.) (N) DB Ges DA c‡_ GKB cwigvY ms‡KvP‡b `ywU †j‡Li
(N) DÏxc‡Ki BwÄbwUi `ÿZv e„w× Kiv msµvšÍ Z_¨wU Rb¨ ZvcgvÎv GK bq †Kb? MvwYwZKfv‡e we‡kølY Ki|
MvwYwZKfv‡e we‡kølY Ki| mgvavb: DB c‡_ m‡gvò ms‡KvPb nq| G c‡_ ZvcgvÎvi
mgvavb: Kg©`ÿZv, = 1 – T2 100%
T †Kv‡bv cwieZ©b nq bv| A_©vr TB =TD|
1 DA c‡_ A_©vr iæ×Zvcxq ms‡KvP‡b Zv‡ci Av`vb
280 cÖ`vb N‡U bv ZvB AvqZb Kgvi mv‡_ AšÍt¯’ kw³ e„w×
500 100%
= 1–
cvq Z_v ZvcgvÎv e„w× cvq|
= 44% iæ×Zvcxq cwieZ©‡b,
–1 –1
= (44 + 20)% = 64% TDV = TAVA
cwiewZ©Z ÿgZvq Dr‡mi Zvckw³i cwieZ©b: VD –1
TA = TD
VA
= 1 –
Q2
100%
Q1 =
1000(1.4–1)
330
700 500
0.64 = 1 – TA = 435.438 K
Q1
Avevi,
Q1 = 1944.444 J TB = 330 K
ZvcgvÎv e„w× = Q1 – Q1 ∵ TA TB
= (1944.444 – 1250) A_©vr Dfq‡ÿ‡Î GKB cwigvY ms‡KvP‡bi Rb¨ ZvcgvÎv
= 694.444 J GK bq| (Ans.)
nd
6 HSC Physics 2 Paper Chapter-1
13| Zvc mycwievnx I Acwievnx c`v‡_©i •Zwi `ywU Nl©Ynxb (N) DÏxc‡Ki dzUe‡ji wfZi †_‡K wbM©Z evZvm cvwicvwk¦©‡Ki
wc÷bhy³ wmwjÛv‡i 3 105 Pa Pv‡c I 750 K ZvcgvÎvq 1 Zzjbvq Mig nIqvi KviY Kx? MvwYwZKfv‡e we‡kølYc~e©K
mol bvB‡Uªv‡Rb M¨vm Av‡Q| AZtci Dfq wmwjÛv‡i Pv‡ci e¨vL¨v Ki|
mgvavb: iæ×Zvcxq cÖwµqvq,
cwigvY A‡a©K Kiv n‡jv| bvB‡Uªv‡R‡bi †ÿ‡Î = 1.4 Ges
–1 –1
1–
1–
G‡ÿ‡Î,
R = 8.31 Jmol K . [P. †ev. 22] T1P1 = T2P2 P1 = 1 atm
(K) cvwbi •Îa we›`y Kv‡K e‡j? 1–
P1( ) P2 = 2 atm
(L) CV < CP †Kb? e¨vL¨v Ki| T2 = T1
P2
(M) Acwievnx wmwjÛv‡ii P~ovšÍ ZvcgvÎv wbY©q Ki| 1–1.4
=
mgvavb: iæ×Zvcxq cÖwµqvq, 1 1.4
1– 1– 2 (27 + 273)
T1P 1 = T2P 2 T2 = 365.704 K
T2 P1 1–
= = 92.704C
T1 P2 T2 > T1
(1 –1.41.4) A_©vr, iæ×Zvcxq cÖwµqvq dzUej †_‡K wbM©Z evZv‡mi
T2 = (2) 750
ZvcgvÎv †ewk nIqvq Zv cwicvwk¦©K Gi Zzjbvq Mig
T2 = 615.252 K
nq| (Ans.)
A_©vr Acwievnx wmwjÛv‡ii P‚ovšÍ ZvcgvÎv 615.252 K|
15| `yÕwU Zvc BwÄb 400 K Ges 800 K ZvcgvÎvi e¨eav‡b
(Ans.)
Kvh©Ki| BwÄb `yÕwU‡Z e¨eüZ R¡vjvbxi Av‡cwÿK Zvc
(N) wmwjÛvi؇qi g‡a¨ K…Z Kv‡Ri Zzjbv Ki|
h_vµ‡g 2000 JKg–1K–1 Ges 1500 JKg–1K–1| BwÄb
mgvavb: Zvc mycwievnx wmwjÛv‡i, `yÕwU‡Z 10 gm f‡ii wfbœ Kvh©Ki c`v_© e¨envi Kiv n‡q‡Q|
V2 [wm. †ev. 22]
K…ZKvR, W1 = nRlnV
1 (K) •Îa we›`y Kv‡K e‡j?
P1 (L) ÒGbUªwci cwieZ©b me©`v abvZ¥KÓÑ e¨vL¨v Ki|
= 1 8.31 750 ln
P2 (M) cÖ_g Bwćbi `ÿZv 10% evov‡Z n‡j Dr‡mi
[∵ m‡gvò cÖwµqvq P1V1 = P2V2] ZvcgvÎv KZ evov‡Z n‡e?
W1 = 8.31 750 ln(2) mgvavb: Kg©`ÿZv, = 1 – T 2 100%
T
= 4320.04 J 1
= 1 –
Acwievnx wmwjÛv‡i, 400
nR 800 100%
K…ZKvR, W2 =
–1 1
(T – T2) = 50%
`ÿZv 10% evov‡Z,
1 8.31
=
1.4 – 1 (750 – 615.252) (50 + 10)% = 1 –
T2
100%
T1
W2 = 2799.39 J
400
∵ W1 > W2 0.6 = 1 –
T1
A_©vr, mycwievnx wmwjÛv‡ii K…ZKv‡Ri cwigvY †ewk|
T1 = 1000 K
(Ans.)
ZvcgvÎv evov‡Z n‡e = (1000 – 800) K
14| GKRb dzUejvi Abykxjb Kivi mgq nVvr jÿ¨ Kij = 200 K
†h, dzUejwU †d‡U evZvm †ei n‡”Q| †m AviI jÿ¨ Kij A_©vr Dr‡mi ZvcgvÎv 200 K evov‡Z n‡e| (Ans.)
†h, dzUej †_‡K †h evZvm †ei n‡”Q Zv cvwicvwk¦©‡Ki (N) DÏxc‡Ki Av‡jv‡K †Kvb BwÄbwU †ewk cwi‡ekevÜe
Zzjbvq Dò| dzUe‡ji Af¨šÍi¯’ evqyi ZvcgvÎv 27C, evqyi n‡e? †Zvgvi gZvgZ MvwYwZKfv‡e we‡kølY Ki|
Pvc 2 atm, evqyi AvqZb 1 m Ges = 1.4 wQj|
3 T
mgvavb: GbUªwci cwieZ©b, dS = mslnT2
[wm. †ev. 22] 1
(K) GbUªwc Kx? 1g Bwćbi †ÿ‡Î,
(L) iƒ×Zvc cÖwµqvq M¨vm‡K msbwgZ Ki‡j M¨v‡mi T2
dS1 = m1S1ln
ZvcgvÎv e„w× cvq †Kb? e¨vL¨v Ki| T1
= 0.01 2000 ln
800
(M) dzUej †_‡K wbM©Z evqyi P~ovšÍ AvqZb wbY©q Ki|
400
mgvavb: iæ×Zvcxq cÖwµqvq, dS1 = 13.863 J/K
P1V1 = P2V2 2q Bwćbi †ÿ‡Î,
1 T2
V2 = P1 dS = m2S2ln
P2 V1 T1
= 0.01 1500 ln
1 800
2 (1.4) 400
= 1
1 dS2 = 10.397 J/K
V2 = 1.641 m3 ∵ dS < dS1
A_©vr wbM©Z evqyi P‚ovšÍ AvqZb 1.641 m3 (Ans.) A_©vr 2q BwÄbwU †ewk cwi‡ek evÜe n‡e| (Ans.)
ZvcMwZwe`¨v Final Revision Batch 7
16| 327C ZvcgvÎvi 1 †gvj M¨vm Øviv GKwU Kv‡b©v BwÄb (N) cÖ
w ZwU av‡c GbUª wc wnmve K‡i BwÄbwUi cÖ Z¨vMvwgZv wK
KvR m¤úv`b Ki‡Q| Kv‡b©v P‡µi cÖwZwU av‡c ms‡KvPb ev hvPvB Kiv m¤¢e? MvwYwZK we‡kølYc~e©K gZvgZ `vI|
cÖmvi‡Yi AbycvZ 1 : 6| (mve©Rbxb M¨vm aªæeK R = 8.31 J mgvavb: GbUªwci cwieZ©b, dS = Q
mol–1 K–1 Ges = 1.4) [e. †ev. 22] T
BC Ges DA c‡_ h_vµ‡g iæ×Zvcxq cÖmviY I
(K) wm‡÷g Kx?
(L) AcÖZ¨vMvgx cÖwµqv GKwU GKgyLx cÖwµqvÑ e¨vL¨v Ki| ms‡KvPb N‡U|
dSBC = 0, dSDA = 0
(M) Bwćbi me©wb¤œ ZvcgvÎv wbY©q Ki|
Q Q
mgvavb: iæ×Zvcxq cÖmvi‡Yi †ÿ‡Î, BwÄbwUi, T 1 = T 2
–1 –1 1 2
T1V 1 = T2V 2 500
Q2 = 550
T2 = T1
V1 –1 1100
V2 Q2 = 250 J
1 (1.4 – 1)
=
Q1 500
(327 + 273) dSAB = =
6 T1 1100
T2 = 293.016 K dSAB = 0.455 J/K
A_©vr me©wb¤œ ZvcgvÎv 293.016 K (Ans.) Q 250
Avevi, dSCD = – T 2 = – 550
(N) Kv‡b©vi P‡µi m‡gvò cÖmviY I ms‡KvP‡b m¤úvw`Z 2
Kv‡Ri cwigvY GKB n‡e wKbv? MvwYwZKfv‡e hvPvB dSCD = – 0.455 J/K
Ki| †gvU G›Uªwci cwieZ©b
mgvavb: m‡gvò cÖmvi‡Y, = dSAB + dSBC + dSCD + dSDA
= 0.455 + 0 – 0.455 + 0
W1 = nRT1 ln
V2
V1 =0J
= 1 8.31 (327 + 273) ln(6)
A_©vr BwÄbwU cÖZ¨vMvgx| (Ans.)
W1 = 8933.713 J 18| wP‡Î 1 gm cvwb Zij n‡Z ev®úxf~Z nevi `ywU ¯Íi †`qv
m‡gvò ms‡KvP‡b, Av‡Q| D we›`y‡Z ev‡®úi AvqZb 1700 CC| (cvwbi
Av‡cwÿK Zvc 4200 Jkg–1K–1) [Kz. †ev. 22]
W2 = –nRT2ln
V1
V2 ZvcgvÎv (C)
= – 1 8.31 293.016 ln
1 D
6 100C
W2 = 4362.63 J
A B
∵ W1 W2 50C
A_©vr m‡gvò cÖmviY I ms‡KvP‡b m¤úvw`Z Kv‡Ri
cwigvY GKB n‡e bv| (Ans.) Zvc (J)
17| wb‡Pi wP‡Î Kv‡b©v Bwćbi Kvh©Kix c`v‡_©i PviwU avc (K) ZvcMwZwe`¨vi k~ b ¨Zg m~ Î wU wjL|
†`Lv‡bv n‡jvÑ [Kz. †ev. 22] (L) Kv‡b©vi Bwćb wØZxq av‡c ZvcgvÎv n«vm N‡U †Kb?
P(Nm )–2 (M) AB c‡_ G›Uªwci cwieZ©b wbY©q Ki|
A Q1 = 500J Q ml
T1 = 1100K mgvavb: G›Uªwci cwieZ©b, dS = T = TV
0.001 2.268 106
4.6×105 B =
(50 + 273)
dS = 7.022 J/K
D AB c‡_ G›Uªwci cwieZ©b 7.022 J/K| (Ans.)
C (N) BD c‡_ AšÍt¯’ kw³ wbY©q Kiv m¤¢eÑ MvwYwZKfv‡e
T2 = 550K hvPvB Ki|
O V(m3) mgvavb: dW = PdV
(K) Af¨šÍixY kw³ Kv‡K e‡j?
= nRdT [∵ PV = nRT]
(L) RM‡Zi GbUªwc e„w× cv‡”QÑ e¨vL¨v Ki| 1
(M) C we›`y‡Z Pvc wbY©q Ki| = 8.314 (100 – 50)
18
mgvavb: iæ×Zvcxq cÖmvi‡Y, dW = 23.094 J
1– 1–
TP
( ) = T P( )
dQ = msdT
1 1 2 2 = 0.001 2100 (100 – 50)
T1( ) dQ = 105 J
P2 =
1–
P1 ZvcMwZwe`¨vi cÖ_g m~Îvbyhvqx,
T2
1.4 dQ = dU + dW
dU = dQ – dW
=
1100 1–1.4
4.6 10 5
550 = 105 – 23.094
P2 = 40658.64 atm dU = 81.906 J
A_©vr C we›`y‡Z Pvc 4068.64 atm. (Ans.) A_©vr BD c‡_ AšÍt¯’ kw³ 81.906 J| (Ans.)
nd
8 HSC Physics 2 Paper Chapter-1
19| [w`. †ev. 22] 20| wb‡¤œi P–V wb‡`©kK wP‡Î GKwU Kv‡b©v P‡µ Kvh©Ki
P(atm) c`v_© Øviv m¤úvw`Z KvR †`Lv‡bv n‡jv: [h. †ev. 22]
C Y A (V1 = 3×10–3m3, P1)
5.28 T1 = 500K
B (V2 = 6×10–3m3, P2)
= 1.4
Pvc (P)
4 n = 2 mole
B
2 A
D(V4, P4) C(V3, P3)
T2 = 300K
X
V(Litre) AvqZb (V)
10 20
wP‡Î P–V †jLwPÎ Øviv GKwU Pµxq cÖwµqv †`Lv‡bv n‡q‡Q| (K) AcÖZ¨veZ©x cÖwµqv Kv‡K e‡j?
GLv‡b, A we›`y‡Z ZvcgvÎv = 300 K (L) wek¦RMr µ‡g µ‡g Zvcxq g„Zy¨i w`‡K GwM‡q Pj‡QÑ
w¯’i AvqZ‡b †gvjvi AvšÍtZvc = 20.78 Jmol K –1 –1 e¨vL¨v Ki|
†gvj msL¨v = 1.6 (M) C we›`y‡Z AvqZb wbY©q Ki|
= 1.4 Ges 1 atm = 105Nm–2 mgvavb: VC = 21.5 × 10–3 m3
(K) AšÍt¯’ kw³i msÁv `vI| (N) AB Ges BC ch©v‡q K…ZKvR mgvb n‡e wKbvÑ
(L) Kv‡b©vi Bwćbi Kvh©wbe©vnK e¯‘ cwieZ©b Ki‡j H Bwćbi MvwYwZKfv‡e hvPvB Ki|
`ÿZvi †Kv‡bviƒc cwieZ©b n‡e bv †Kb? e¨vL¨v Ki| mgvavb: WAB WBC
(M) AB c‡_ K…Z Kv‡Ri gvb wbY©q Ki| 21| wmqvg 1 kg eid‡K –10C ZvcgvÎv n‡Z 30C
mgvavb: m‡gvò cÖwµqvq, ZvcgvÎvi cvwb‡Z cwiYZ K‡i| mvwgi 30C ZvcgvÎvi 1
kg cvwb‡K 100C ZvcgvÎvi ev‡®ú cwiYZ K‡i| wmqvg
W = nRT ln
VB
VA `vwe Kij Zvi cÖwµqvwU †ewk k„•Lj|
= 1.6 8.314 300 ln (Sw = 4200 Jkg–1K–1, Lf = 3.36 × 105 Jkg–1, Sice =
10
20 2100 Jkg–1K–1 Ges Lv = 2.26 × 106Jkg–1) [h. †ev. 22]
W = –2766.156 J (K) ZvcMwZwe`¨vi cÖ_g m~Î wee„Z Ki|
A_©vr AB c‡_ K…ZKvR –2766.156 J| (Ans.)
(L) iæ×Zvcxq cÖmviY Ges ms‡KvP‡b AšÍt¯’ kw³i cwieZ©b
(N) DÏxc‡Ki Pµxq cÖwµqvq G›Uªwci cwieZ©b k~b¨ n‡e
e¨vL¨v Ki|
wKbvÑ MvwYwZK we‡køl‡Yi mvnv‡h¨ gZvgZ `vI|
(M) mvwg‡ii cÖwµqvq †gvU cÖ‡qvRbxq Zvc wbY©q Ki|
mgvavb: AB c‡_, dU = 0
mgvavb: Q1 = msw
dQ = dW = – 2766.156 J
= 1 4200 (100 – 30)
dQ
S1 = Q1 = 294000 J
T
–2766.156 Q2 = mlv
=
300 = 1 2.26 106
S1 = –9.221 J/K Q2 = 2.26 106 J
PB PC cÖ‡qvRbxq Zvc, Q = Q1 + Q2
BC c‡_, =
TB TC = 294000 + 2.26 106
5.28 Q = 2554000 J
TC = 300
4 A_©vr †gvU cÖ‡qvRbxq Zvc 2554000 J| (Ans.)
= 396 K (N) wmqv‡gi `vwe mwVK wK bvÑ MvwYwZK we‡køl‡Yi gva¨‡g
TC hvPvB Ki|
S2 = nCVln
TB
mgvavb: wmqv‡gi cÖwµqvq,
= 1.6 20.78 ln
396
300 S1 = msiln
T2
T1
S2 = 9.231 J/K
= 1 2100 ln
273
CA c‡_, S3 = 0 [∵ iæ×Zvcxq cÖwµqv] 263
†gvU Gw›Uªwci cwieZ©b, S1 = 78.367 J/K
S = S1 + S2 + S3 mlf
S2 =
= (–9.221 + 9.231 + 0) T
= 0.01 1 3.36 105
=
S 0 273
A_©vr G›Uªwci cwieZ©b k~b¨ n‡e| (Ans.) S2 = 1230.769 J/K
ZvcMwZwe`¨v Final Revision Batch 9
T3 24| wb‡P GKwU Bwćbi P – V †jLwPÎ †`Lv‡bv n‡jvÑ
S3 = mswln
T2 P A
= 1 4200 ln
303 T1 = 110C
273 Q1
S3 = 437.896 J/K B
SA = S1 + S2 + S3
= 78.367 + 1230.769 + 437.896
D
SA = 1747.032 J/K C
mvwg‡ii cÖwKqvq, Q2 T2 = 0C
T4 V
S4 = msWln [Xv. †ev. 21]
T3
(K) cÖevn NbZ¡ Kx? [3q Aa¨vq]
= 1 4200 ln
373
(L) DÏxcKwU †h Bwćbi †jLwPÎ cÖKvk K‡i Zv e¨vL¨v Ki|
303
(M) DÏxc‡Ki Bwćbi m¤úvw`Z Kv‡Ri cwigvY wbY©q Ki|
S4 = 872.952 J/K
mgvavb: D³ Bwćbi †ÿ‡Î,
mlv
S5 = T2
T4 K=
T1 – T2
1 2.26 106
= (273 + 0)
373 =
(273 + 110) – (273 + 0)
S5 = 6058.981 J/K K = 2.482
SB = S4 + S5 Avevi,
= 872.952 + 6058.981 Q2
SB = 6931.933 J/K K=
W
∵ SA < SB Q2
W=
A_©vr wmqv‡gi `vwe mwVK| (Ans.) 2.482
22| Av`k© ZvcgvÎv I Pv‡c GKwU wmwjÛv‡i GK †gvj W = 0.403 Q2
A_©vr m¤úvw`Z Kv‡Ri cwigvY 0.403Q2|
wnwjqvg M¨vm ivLv Av‡Q| cieZ©x‡Z D³ wnwjqv‡gi AvqZb
(N) DÏxc‡Ki Bwćbi mv‡_ mvaviY Kv‡b©v Bwćbi wfbœZv
cÖ_‡g m‡gvò cÖwµqvq Ges c‡i iæ×Zvcxq cÖwµqvq 1.5 ¸Y
Av‡Q wK? we‡kølYmn gZvgZ `vI|
Kiv n‡jv| [iv. †ev. 22]
mgvavb: wfbœZv¸‡jv n‡jv:
(K) ZvcMwZwe`¨vi cÖ_g m~Î wee„Z Ki| i. g~jbxwZ:
(L) cÖvšÍxq wefe eZ©bxi Zwor PvjK ej A‡cÿv †QvU nq Zvc Drm Zvc Drm
†Kb? e¨vL¨v Ki| T1 T1
(M) iæ×Zvcxq cÖwµqvq M¨vmwUi P~ovšÍ Pvc wbY©q Ki| Q1 Q1
DËi: P2 = 51480.67 Pa
(N) DÏxcK Abyhvqx †Kvb cÖwµqvq †ewk KvR m¤úbœ n‡q‡Q? Zvc Zvc
W = Q 1 – Q2 W = Q 1 – Q2
MvwYwZK we‡køl‡Yi gva¨‡g eywS‡q `vI| BwÄb BwÄb
DËi: m‡gvò cÖwµqvq †ewk KvR T1 > T2
Q2 Q2
23| GKwU BwÄb 321C ZvcgvÎvi Zvc Drm †_‡K 521 J T2 T2
Zvc MÖnY K‡i 21C ZvcgvÎvi Zvc MÖvn‡K wKQz Zvc eR©b Zvc MÖvnK Zvcv avi
K‡i| [Xv. †ev. 21]
wPÎ: †iwd«Rv‡iUi
wPÎ: Zvc BwÄb
(K) f‡ii Av‡cwÿKZv Kx? [8g Aa¨vq] ii. Kvh©cÖYvjx:
(L) CP, CV Gi †P‡q eo wK? e¨vL¨v Ki|
T1 Q1 T1 Q1
(M) DÏxc‡K DwjøwLZ BwÄb Øviv K…ZKvR wbY©q Ki|
DËi: 263.11 J P P
(N) DÏxc‡K DwjøwLZ BwÄbwUi `ÿZv 4 ¸Y Kiv m¤¢e wKbv?
T2 Q T2 Q
MvwYwZKfv‡e we‡kølY Ki| 2 2
DËi: `ÿZv 4 ¸Y Kivi Rb¨ g‡b Kwi MÖvn‡Ki ZvcgvÎv T2 V V
Ki‡Z n‡e| wPÎ: Zvc Bwćbi Rb¨ wPÎ: †iwd«Rv‡iU‡ii Rb¨
P – V †jLwPÎ Rb¨ P – V †jLwPÎ
T2 = –605.88 K
wKš‘ cÖK…wZ‡Z –605.88 K ZvcgvÎv AR©b Kiv m¤¢e bq| iii. Kg©`ÿZv:
T1 – T2
Avevi, g‡b Kwi, MÖvn‡Ki ZvcgvÎv w¯’i †i‡L Dr‡mi Zvc Bwćbi, = T1
<1
ZvcgvÎvi cwieZ©b Ki‡Z n‡e hvi gvb T1| Zvn‡j, T1 = T
–288.24 K GB ZvcgvÎvI AR©b Kiv m¤¢e bq| †iwd«vRv‡iU‡i, K = T –2T , hv 1 Gi †ewkI n‡Z cv‡i|
1 2
myZivs, DÏxc‡K DwjøwLZ BwÄbwUi `ÿZv 4 ¸Y Kiv m¤¢e bq| A_©vr †iwd«Rv‡iU‡ii mv‡_ Kv‡b©v Bwćbi wfbœbZv Av‡Q|
nd
10 HSC Physics 2 Paper Chapter-1
25| 0C ZvcgvÎvi 1g cvwb‡K ei‡d cwiYZ Ki‡Z 27| GKwU Kv‡b©v Bwćbi Zvc Drm I Zvc Mvn‡Ki ZvcgvÎv
†iwd«Rv‡iUiwU b~¨bZg KvR m¤úv`b K‡i Q2 Zvc AcmviY h_vµ‡g 1025C I 475C Gi PviwU av‡c K…ZKv‡Ri
K‡i Ges Q1 Zvc cwi‡e‡k eR©b K‡i| cieZ©x‡Z cwigvY h_vµ‡g 1015J, 1070J, 480J I 230J| [Kz. †ev. 21]
†iwd«Rv‡iU‡ii cwie‡Z© Ggb GKwU Zvc BwÄb cÖwZ¯’vcb (K) GbUªwc Kv‡K e‡j?
Kiv n‡jv †h‡bv GwU †iwd«Rv‡iU‡ii wVK wecixZ AvPiY (L) cÖK…wZ‡Z ¯^vfvweK wbq‡g msNwUZ mKj ZvcMZxq
K‡i| (cvwbi Av‡cwÿK Zvc 4200 Jkg–1K–1 Ges eid cÖwµqvB AcÖZ¨veZ©x cÖwµqvÑ e¨vL¨v Ki|
Mj‡bi Av‡cwÿK myßZvc 336000 Jkg–1)| [iv. †ev. 21] (M) DÏxc‡Ki BwÄbwU ZvcMÖvn‡K Kx cwigvY Zvc eR©b
T1 = 30C Ki‡e wbY©q Ki|
mgvavb: †gvU K…ZKvR,
Q1 W = W 1 + W2 – W3 – W4
= 1015 + 1070 – 480 – 230
W = 1375 J
= 1 – 100%
W T2
T1
= 1 –
475 + 273
1025 + 273 100%
Q2
T2 = 0C
W
= 0.424 ∵ = W
(K) AšÍt¯’ kw³ Kx? Q1 Q1
(L) m‡gvò cwieZ©‡bi †ÿ‡Î M¨v‡mi Av‡cwÿK Zvc e¨vL¨v 1375
Q1 = = 3245 J
Ki| 0.424
(M) †iwd«Rv‡iUiwUi Kvh©m¤úv`‡bi mnM wbY©q Ki| W = Q 1 – Q2
T2 Q2 = 3245 – 1375
mgvavb: Kvh©m¤úv`‡bi mnM, K = T – T Q2 = 1870 J
1 2
(273 + 0) A_©vr Zvc MÖvn‡K Zvc eR©b Ki‡e 1870 J| (Ans.)
= (N) DÏxc‡K Kv‡b©v BwÄbwUi Dr‡mi ZvcgvÎv 48C e„w×
(273 + 30) – (273 + 0)
K = 9.1 Ki‡j `ÿZvi cwieZ©b Ges ZvcMÖvn‡Ki ZvcgvÎv
A_©vr Kvh©m¤úv`‡bi mnM 9.1| (Ans.) 48C n«vm Ki‡j `ÿZvi cwieZ©b GKB n‡e wK bvÑ
(N) Zvc BwÄbwU cÖZ¨vMvgx n‡e wKbv? G›Uªwci mvnv‡h¨ MvwYwZK we‡køl‡Yi gva¨‡g gZvgZ `vI|
MvwYwZK we‡kølYc~e©K gšÍe¨ Ki| mgvavb: T1 = 1298 K
mgvavb: cÖ‡qvRbxq Zvc, T2 = 748 K
Q2 = mlf T1 = (1298 + 48) K
= 0.001 3360007 = 1346 K
Q2 = 336 J
T2 = (748 – 48) K
Q1 = Q 2 + W Q2 = 700 K
∵K=
= (336 + 36.923) W W
Q1 = 372.923 J 336 =
Q1
W=
T1 (273 + 30) 9.1 = 42.37%
=
T2 273 = 36.923 J
= 1.11 Dr‡mi ZvcgvÎv 48C evov‡j,
1 = 1 –
Q1 372.923 T2
100%
Q2
=
336
= 1.11 T1
= 1 –
Q1 T 1 748
=
Q2 T 2 1346 100%
A_©vr Zvc BwÄbwU cÖZ¨vMvgx n‡e| (Ans.) 1 = 44.428%
26| myRvbv cÖgvY Pv‡c 50C ZvcgvÎvq GKwU wmwjÛv‡i 64 1 = 1 –
= (44.428 – 42.37)%
gm Aw·‡Rb M¨vm wb‡q cixÿv KiwQj| †m M¨vmwU‡K
1 = 2.058%
iƒ×Zvcxq c×wZ‡Z msKzwPZ K‡i ZvcgvÎv 150C G DbœxZ ZvcMÖvn‡Ki ZvcgvÎv 48C Kgv‡j,
Kij| [iv. †ev. 21]
T2
(K) ZvcMwZwe`¨vi k~b¨Zg m~ÎwU wee„Z Ki| 2 = 1 – 100%
T1
(L) ÒmgAvqZb cÖwµqvi wm‡÷‡gi K…ZKvR k~b¨|ÓÑ e¨vL¨v
= 1 –
700
Ki| 1298 100%
(M) myRvbvi e¨eüZ M¨vmwUi P~ovšÍ Pvc KZ? 2 = 46.071%
DËi: 2.59 × 105 Nm–2 2 = 2 –
(N) M¨v‡mi AvqZ‡bi Kxiƒc cwieZ©b N‡U? MvwYwZKfv‡e = (46.071 – 42.37)%
we‡kølY Ki| 2 = 3.701%
DËi: AvqZ‡bi cwieZ©b, V = – 0.023 m3 ∵ n1 2
AZGe, M¨vmwU 0.023 m3 ms‡KvwPZ nq| A_©vr `ÿZvi cwieZ©b GKB n‡e bv| (Ans.)
ZvcMwZwe`¨v Final Revision Batch 11
28| [Kz. †ev. 21; w`. †ev. 21 (ms‡kvwaZ)] 31| wP‡Î GKwU Kv‡b©v Bwćbi P ~ V †jLwPÎ †`Lv‡bv n‡jv:
[P. †ev. 21]
Pvc, P(×105Nm–2)
6
B C
P A Q1 = 500J
5 T1 = 827C B
4
3
2 D
A
1 C
O(0,0) 1 2 3 4 5 6 D
AvqZb (V) Liter Q2 = 300J
wP‡Î †Kvb ZvcMZxq e¨e¯’v‡K ABC, AC I ADC c‡_ A T2 = 387C V
†_‡K C we›`y‡Z †bqv n‡jv| A I C we›`y‡Z e¨e¯’vwUi
AšÍt¯’kw³ h_vµ‡g 100J I 600J| (K) Av‡cwÿK †iva Kv‡K e‡j? [3q Aa¨vq]
(K) AšÍt¯’kw³ Kv‡K e‡j? (L) ZvcMwZwe`¨vq P – V †jLwP‡Îi †ÿÎdj Kx cÖKvk
(L) ZvcMwZwe`¨vi k~b¨Zg m~Î n‡Z Kxfv‡e ZvcgvÎvi K‡i? e¨vL¨v Ki|
aviYv cvIqv hvqÑ e¨vL¨v Ki| (M) DÏxc‡Ki Bwćbi `ÿZv wbY©q Ki|
(M) AC c‡_ m¤úvw`Z Kv‡Ri cwigvY wbY©q Ki| DËi: BwÄbwUi `ÿZv 40%
DËi: 1600 J (N) DÏxc‡Ki BwÄbwU cÖZ¨vMvgx bv AcÖZ¨vMvgxÑ MvwYwZK
(N) †Kvb c‡_ wm‡÷g KZ…©K M„nxZ Zv‡ci cwigvY †ewkÑ we‡køl‡Yi gva¨‡g gZvgZ `vI|
MvwYwZK we‡kølYc~e©K gZvgZ `vI| Q Q
DËi: QABC = 2900 J ; QADC = 1300 J ; AAC = 2100 J DËi: T 1 = 0.45 JK–1 Ges T 2 = 0.45 JK–1
1 2
QABC > QAC > QADC Q Q
ABC c‡_ wm‡÷g K…Z©K M„nxZ Zv‡ci cwigvY †ewk| cÖZ¨vMvgx Bwćbi †ÿ‡Î, T 1 = T 2
1 2
29| GKwU Zvc Bwćb M„nxZ Zv‡ci GK-Z…Zxqvsk eR©b AZGe, DÏxc‡K DwjøwLZ BwÄbwU cÖZ¨vMvgx|
K‡i| Dr‡mi ZvcgvÎv 200K e„w× Ki‡j `ÿZv 80% nq|
32| GKwU cÖZ¨veZ©x Zvc Bwćbi Zvc Drm Ges Zvc
BwÄbwU Zvc Drm †_‡K 1500 J Zvc MÖnY K‡i| [h. †ev. 21]
MÖvn‡Ki ZvcgvÎv h_vµ‡g 550C Ges 138C| m‡gvò
(K) Zvcxq mgZv ej‡Z Kx eyS?
(L) `ywU eidLÐ GKwUi Dci AciwU †P‡c ai‡j Zv GKwU cÖmvi‡Y M„nxZ Zv‡ci cwikvY 850J| [P. †ev. 21]
L‡Ð cwiYZ nq †Kb? Y
A
(M) DÏxc‡Ki WvUv e¨envi K‡i cÖ_g ch©v‡q Bwćbi `ÿZv T1 = 550C
wbY©q Ki| P
B
DËi: cÖ_g ch©v‡q Bwćbi `ÿZv 66.67%
(N) Dr‡mi ZvcgvÎv w¯’i †i‡L DÏxc‡K DwjøwLZ hš¿wU‡K
Kxfv‡e cÖZ¨veZ©x Bwćb iƒcvšÍi Kiv hvqÑ MvwYwZK D C
we‡køl‡Yi gva¨‡g e¨vL¨v Ki| T2 = 138C
DËi: Dr‡mi ZvcgvÎv w¯’i †i‡L MÖvn‡Ki ZvcgvÎv 66.67 K X
O V
e„w× Ki‡j hš¿wU‡K cÖZ¨vMvgx Bwćb iƒcvšÍi Kiv hvq|
(K) †iv‡ai DòZv mnM Kv‡K e‡j? [3q Aa¨vq]
30| [h. †ev. 21]
(L) Cp Ges Cv Gi g‡a¨ †KvbwU eoÑ e¨vL¨v Ki|
Zvc
Kvh©Ki R¡vjvbxi
(M) DÏxc‡Ki AB As‡ki GbUªwc wbY©q Ki|
BwÄb Zvc Dr‡mi MÖvn‡Ki
e¯‘i fi Av‡cwÿK ZvcDËi: 1.03 JK–1
ZvcgvÎv
A 327C –13C 0.8 kg 1980 Jkg K
–1 –1 (N) DÏxc‡Ki Zvc BwÄbwUi `ÿZv wظY e„w× Ki‡Z Kx
–1 –1
B 627C 127C 1.2 kg 1230 Jkg K e¨e¯’v MÖnY Kiv †h‡Z cv‡i? MvwYwZKfv‡e we‡kølb Ki|
(K) Zvcxq mgZv Kx? DËi: `ÿZv wظY ev (2 × 50.06%) = 100.12% = 1.0012
(L) m‡gvò cÖwµqvq M¨vm Øviv m¤úvw`Z KvR mieivnK…Z Kivi Rb¨ g‡b Kwi MÖvn‡Ki ZvcgvÎv T2 Ki‡Z n‡e|
Zvckw³i mgvb nq, e¨vL¨v Ki| T2 = – 0.9876 K
(M) B Bwćbi `ÿZv wbY©q Ki| wKš‘ cÖK…wZ‡Z – 0.9876 K ZvcgvÎv AR©b Kiv m¤¢e bq|
DËi: 55.55%
g‡b Kwi, MÖvn‡Ki ZvcgvÎv w¯’i †i‡L Dr‡mi ZvcgvÎvi
(N) DÏxc‡Ki Av‡jv‡K †Kvb BwÄbwU †ewk cwi‡ekevÜe
cwieZ©b Ki‡Z n‡e hvi gvb T1|
n‡e MvwYwZKfv‡e we‡kølY K‡i gZvgZ `vI|
DËi: dSA = –1324.62 JK–1 ; dSB = –1196.93 JK–1 T1 = – 342.5 × 103 K
dSB > dSA GB ZvcgvÎvI AR©b Kiv m¤¢e bq|
A BwÄbwU †ewk cwi‡ek evÜe| myZivs, DÏxc‡Ki Zvc BwÄbwUi `ÿZv wظY e„w× Kiv m¤¢e bq|
nd
12 HSC Physics 2 Paper Chapter-1
33| STP †Z 64 gm wnwjqvg M¨vm‡K m‡gvò cÖwµqvq Ges 36| GKwU gUi Mvwo •Zwii †Kv¤úvwb Zv‡`i Mvwoi Rb¨
iæ×Zvcxq cÖwµqvq Avjv`v Avjv`vfv‡e cÖwZav‡c AvqZb 40% `ÿZvm¤úbœ GKwU BwÄb •Zwi Kij| BwÄbwU 600K
wZb¸Y cÖmvwiZ Kiv n‡jv| d‡j Pvc I AvqZ‡bi cwieZ©b ZvcgvÎvi Drm †_‡K Zvc MÖnY K‡i| [wm. †ev. 21]
(K) ZvcMwZwe`¨vi cÖ_g m~ÎwU wee„Z Ki|
nq Ges KvR m¤úbœ nq| [R = 8.31 JK–1 mol–1, = 1.40]
[e. †ev. 21]
(L) cvi` GKwU DËg DòZvwgwZK c`v_©Ñ e¨vL¨v Ki|
(cÖkœwU ÎæwUc~Y©| wnwjqvg M¨vm GK cvigvYweK M¨vm weavq = (M) DÏxc‡Ki BwÄbwUi Zvc MÖvn‡Ki ZvcgvÎv KZ?
1.67 nIqv DwPZ wQ‡jv| wKš‘ cÖ‡kœ = 1.40 †`Iqv n‡q‡Q|)
DËi: 360 K
(K) wm‡÷g Kx? (N) †Kv¤úvwbwU Zv‡`i Bwćbi `ÿZv 10% evov‡bvi †ÿ‡Î
Dr‡mi ZvcgvÎv e„w× A_ev MÖvn‡Ki ZvcgvÎv n«vm
(L) ZvcMwZwe`¨vi cÖ_g m~ÎwU kw³i wbZ¨Zvi GKwU we‡kl
†KvbwU myweavRbK? MvwYwZKfv‡e we‡kølb Ki|
iƒc gvÎÑ e¨vL¨v Ki| DËi: MÖvn‡Ki ZvcgvÎv n«vm 60 K
(M) iæ×Zvcxq cÖwµqvq AvqZb cwieZ©‡b P~ovšÍ Pvc wbY©q Ki| Dr‡mi ZvcgvÎv e„w× 120 K
DËi: P~ovšÍ Pvc n‡e 2.18 × 104 Nm–2 A_©vr, BwÄbwUi `ÿZv 10% evov‡bvi †ÿ‡Î Dr‡mi ZvcgvÎv
(N) Dfq‡ÿ‡Î K…ZKvR Awfbœ n‡e wK? MvwYwZK we‡kølY `vI| 120K e„w× A_ev MÖvn‡Ki ZvcvgvÎv 60 K n«vm Ki‡Z n‡e|
DËi: m‡gvò cÖwµqvq KvR 39877.52 J; iæ×Zvcxq cÖwµqvq G‡ÿ‡Î MÖvn‡Ki ZvcgvÎv n«vm Kiv myweavRbK|
KvR 32269.4 J 37| GKwU Kv‡b©vi BwÄb 200C ZvcgvÎvq Zvc Drm †_‡K
W1 W2 600J Zvc MÖnY K‡i Ges MÖvn‡K 400J Zvc eR©b K‡i|
myZivs, Dfq‡ÿ‡Î K…ZKvR Awfbœ n‡e bv| BwÄbwUi Dr‡mi ZvcgvÎv cwieZ©b bv K‡iI h‡š¿i `ÿZv
70% Kiv m¤¢e| [w`. †ev. 21]
34| GKwU Kv‡b©v BwÄb hLb 310K ZvcgvÎvq Zvc MÖvn‡K
(K) †gvjvi Zvc aviY ÿgZv Kv‡K e‡j?
_v‡K ZLb Gi Kg©`ÿZv 40%| Bwćbi Zvc Dr‡mi (L) ÒRM‡Zi Zvcxq g„Zz¨i KviY Zvcxq mvg¨ve¯’v|ÓÑ
ZvcgvÎv cwieZ©b K‡i Kg©`ÿZv e„w× Kiv hvq| [e. †ev. 21] e¨vL¨v Ki|
(K) GbUªwc Kx? (M) Zvc MÖvn‡Ki ZvcgvÎv wbY©q Ki|
(L) iæ×Zvcxq cÖwµqvq GbUªwc w¯’i _v‡KÑ e¨vL¨v Ki| DËi: 315.33 K
(M) DÏxc‡Ki Bwćbi Dr‡mi ZvcgvÎv wbY©q Ki| (N) DÏxc‡Ki `ÿZv m¤ú‡K© Dw³wU h_v_© wK-bv?
DËi: 516.67 K MvwYwZKfv‡e hvPvB Ki|
T –x
(N) Kg©`ÿZv 80% Ki‡Z n‡j Dr‡mi ZvcgvÎv wظY DËi: = 1 – 2T
1
Ki‡Z n‡e wK-bv? MvwYwZK hyw³ `vI| x = 173.43 K
DËi: T1 = 3 × T1 BwÄbwUi Dr‡mi ZvcgvÎv cwieZ©b bv K‡iI MÖvn‡Ki
Kg©`ÿZv 80% Ki‡Z n‡j Dr‡mi ZvcgvÎv wZb¸Y Ki‡Z ZvcgvÎv 173.43 K n«vm K‡i h‡š¿i `ÿZv 70% Kiv m¤¢e|
n‡e| DÏxc‡Ki `ÿZv m¤ú‡K© Dw³wU h_v_©|
35| cixÿvMv‡i 750 mm cvi` Pv‡c Ges 30C ZvcgvÎvq 38| A I B `ywU BwÄb| A BwÄbwU – 60C ZvcgvÎvi wb¤œ
Zvcavi †_‡K 2400J Zvc MÖnY K‡i Ges D”P Zvcvav‡i
wc÷bhy³ `ywU M¨vm wmwjÛv‡ii cÖwZwU‡Z 2 mol wÎcigvYyK
3600J Zvc eR©b K‡i| Aciw`‡K B BwÄb 1g av‡c 0C
M¨vm ivLv Av‡Q| Dfq wmwjÛv‡i Pvc AcmviY K‡i cÖ_g
ZvcgvÎvi 5 kg eid‡K 0C ZvcgvÎvi cvwb‡Z cwiYZ K‡i
wmwjÛv‡ii M¨v‡mi AvqZb `ªæZ wظY Kiv nq| Aciw`‡K
Ges 2q av‡c 0C ZvcgvÎvi 5 kg cvwb‡K 100C
wØZxq wmwjÛv‡i M¨v‡mi AvqZb ax‡i ax‡i wظY nq| ZvcgvÎvi cvwb‡Z cwiYZ K‡i| eid Mj‡bi Av‡cwÿK
[wm. †ev. 21]
myßZvc 336000 Jkg–1 Ges cvwbi Av‡cwÿK Zvc
(K) GbUªwc Kv‡K e‡j? 4200Jkg–1K–1. [g. †ev. 21]
(L) RM‡Zi Zvcxq g„Zz¨i Rb¨ `vqx GbUªwcÑ e¨vL¨v Ki| (K) Zvc BwÄb Kx?
(M) cÖ_g wmwjÛv‡i M¨v‡mi P~ovšÍ ZvcgvÎv wbY©q Ki| (L) iæ×Zvcxq cÖwµqvq cv‡Îi †`Iqvj Acwievnx ivLv
DËi: 242.4 K nq †Kb?
(N) Dfq wmwjÛv‡i Pvc Acmvi‡Y K…ZKvR mgvb n‡e wK? (M) A-Bwćbi D”P Zvcvav‡ii ZvcgvÎv wbY©q Ki|
MvwYwZK we‡kølY Ki| DËi: 319.5 K
(N) DÏxc‡Ki B-Bwćbi 1g I 2q av‡c GbUªwci cwieZ©b
DËi: cÖ_g wmwjÛv‡i iæ×Zvcxq cÖwµqvq K…ZKvR, W1 =
mgvb n‡e wK? MvwYwZK gZvgZ Dc¯’vcb Ki|
3053.5 J| wØZxq wmwjÛv‡i m‡gvò cÖwµqvq K…ZKvR, W2 =
DËi: 1g av‡c GbUªwci cwieZ©b 6153.85 JK–1
3492.27 J| 2q av‡c GbUªwci cwieZ©b 6554.24 JK–1
W1 W2 DÏxc‡Ki B Bwćbi 1g I 2q av‡c GbUªwci cwieZ©b mgvb
Dfq wmwjÛv‡i Pvc Acmvi‡Y K…ZKvR mgvb n‡e bv| n‡e bv|
ZvcMwZwe`¨v Final Revision Batch 13
39| Rv‡n` I kv‡n` mncvVx| Rv‡n` c`v_©weÁvb j¨v‡e 42| GKRb wkÿv_©x 84 kJ Zvc mieivn K‡i 30C ZvcgvÎvi
GKwU †iva _v‡g©vwgUvi wbj| hvi eid we›`y I ev®ú we›`y‡Z
5 kg cvwb‡K DËß Ki‡jv| Aci wkÿv_©x wbqb Zvc mieivn
†iva 12 Ges 24| Aciw`‡K, kv‡n` 5 atm Pvcwewkó K‡i 100C ZvcgvÎvi cvwb‡K m¤ú~Y©iƒ‡c ev‡®ú cwiYZ
GKwU cv‡Î Ave× M¨v‡m 2400 J Zvckw³ mieivn K‡i|
Ki‡jv| cvwbi Av‡cwÿK Zvc 4200 Jkg–1 K–1 Ges
G‡Z M¨v‡mi AvqZb 1600 cm3 †_‡K 3200 cm3 nq Ges
AšÍt¯’ kw³i cwieZ©b nq 1589.4 J| ev®úxfe‡bi Av‡cwÿK myßZvc 2.26 × 106 Jkg–1 Ges
[g. †ev. 21]
(K) cÖZ¨vMvgx cÖwµqv Kx? ev®úxfe‡bi Av‡cwÿK myßZvc 2.26 × 106 Jkg–1. [Kz. †ev. 19]
(L) Kxfv‡e Bwćbi `ÿZv e„w× Kiv hvq? e¨vL¨v Ki| (K) m‡gvò cÖwµqv Kv‡K e‡j?
(M) 250C ZvcgvÎvq Rv‡n‡`i _v‡g©vwgUv‡ii †iva wbY©q Ki|
(L) c„w_exi Zwor wefe k~b¨ aiv nq †Kb? e¨vL¨v Ki| [2q
R –R Aa¨vq]
DËi: †iva _v‡g©vwgUv‡i, = R – R0 100
100 0
(M) wjLb cvwbi ZvcgvÎv KZUzKz e„w× K‡iwQj? wbY©q Ki|
(R100 – R0)
R = R0 + DËi: 4C e„w× K‡iwQj
100
250(24 – 12) (N) DÏxc‡Ki †Kvb cÖwµqvwU AwaK cwi‡ekevÜe? †Zvgvi
12 +
100 Dˇii mc‡ÿ hyw³ `vI|
R0 = 42 DËi: wjLb KZ…©K GbUªwci cwieZ©b 275.4 JK–1
A_©vr 250C ZvcgvÎvi _v‡g©vwgUv‡ii †iva 42| (Ans.) wbq‡bi cÖwµqvi †ÿ‡Î G›Uªªwci cwieZ©b 30294.9 JK–1
(N) DÏxc‡K kv‡n‡`i cixÿYwU ZvcMwZwe`¨vi 1g m~·K
mg_©b K‡i wK? MvwYwZKfv‡e we‡kølY Ki| wjL‡bi †ÿ‡Î GbUªwci cwieZ©b †ek Kg ZvB wjL‡bi
mgvavb: ZvcMwZwe`¨vi cÖ_g m~Îg‡Z, cÖwµqvwU AwaK cwi‡ekevÜe|
dQ = dU + PdV 43| A cÖwµqvq 2 kg cvwb‡K 0C ZvcgvÎv †_‡K ev‡®ú
= 1589.4 + 5 1.013 105 (3200 – 1600) 10–6 iƒcvšÍwiZ Kiv n‡jv| Ab¨w`‡K B cÖwµqvq 10C ZvcgvÎvi 5
= 2399.8 J
2400 J kg cvwb‡K 100C ZvcgvÎvi cvwb‡Z cwiYZ Kiv n‡jv|
A_©vr kv‡n‡`i cixÿYwU ZvcMwZwe`¨vi 1g m~·K (cvwbi Av‡cwÿK Zvc 4200 Jkg–1K–1 Ges cvwbi ev®úxfe‡bi
mg_©b K‡i| (Ans.) Av‡cwÿK myßZvc 2.26 × 106 Jkg–1) [h. †ev. 19]
40| Zvc cwievnx I Acwievnx c`v‡_©i •Zwi `ywU Nl©Ynxb (K) Av‡cwÿK Zvc Kv‡K e‡j?
wc÷bhy³ wmwjÛv‡i 2 × 105 Pa Pv‡c I 600 K ZvcgvÎvq (L) Zwor cÖev‡ni d‡j cwievnx‡Z Zvc Drcbœ nq †Kb?
1 mol wnwjqvg M¨vm Av‡Q| cieZ©x‡Z Dfq wmwjÛv‡i Pv‡ci e¨vL¨v Ki| [3q Aa¨vq]
cwigvY A‡a©K Kiv n‡jv| (wnwjqv‡gi †ÿ‡Î = 1.67 Ges
(M) DÏxc‡K A cÖwµqvq †gvU cÖ‡qvRbxq Zvc wbY©q Ki|
R = 8.31 Jmol–K–1) [Xv. †ev. 19]
(K) Zvc MwZwe`¨vi 1g m~ÎwU wee„Z Ki| DËi: 5376000 J
(L) m‡gvò cÖwµqvq dW = dQ †Kb? e¨vL¨v Ki| (N) DÏxc‡K †Kvb cÖwµqvq wek„•Ljvi gvÎv †ewk?
(M) Acwievnx wmwjÛv‡i P~ovšÍ ZvcgvÎv wbY©q Ki| MvwYwZKfv‡e we‡kølY Ki|
DËi: 454.34 K DËi: A cÖwµqvq GbUªwci †gvU cwieZ©b 14782.6 JK–1
(N) wmwjÛvi؇qi g‡a¨ †KvbwUi †ÿ‡Î K…ZKvR †ewk? hvPvB B cÖwµqvq GbUªwci †gvU cwieZ©b 5798.8 JK–1
Ki| A_©vr A cÖwµqvq GbUªwc e„w× cv‡e A‡bK †ewk|
DËi: cwievnx wmwjÛv‡ii †ÿ‡Î K…ZKvR W1 = 3456 J
A cÖwµqvq wek„•Ljvi gvÎv †ewk|
Acwievnx wmwjÛv‡ii †ÿ‡Î K…ZKvR, W2 = 1806.62 J
W 1 > W 2 ; A_©vr cwievnx wmwjÛv‡ii †ÿ‡Î K…ZKvR 44| 30C ZvcgvÎvi 0.05 kg cvwb‡K ¯^vfvweK Pv‡c 2 ×
†ewk n‡e| 10–3 m3 AvqZ‡bi ev‡®ú cwiYZ Kiv n‡jv| GB cÖwµqvq
41| Øv`k †kÖwYi weÁvb wefv‡Mi `yÕRb wkÿv_©x, myRb I wm‡÷‡gi AšÍt¯’ kw³i cwieZ©b 1.28 × 104 J| [cvwbi
•kjx, GKwU Av`k© M¨vm‡K 27C ZvcgvÎv I 300 cm cvi` ev®úxfe‡bi Av‡cwÿK myßZvc Lv = 2.26 × 106 Jkg–1 Ges
Pv‡c h_vµ‡g m‡gvò I iæ×Zvcxq cÖwµqvq M¨v‡mi AvqZb cvwbi Av‡cwÿK Zvc s = 4200 Jkg–1 K–1] [P. †ev. 19]
A‡a©K Ki‡jv| M¨vmwU wØcigvYyK| [iv. †ev. 19]
(K) DòZv Kv‡K e‡j?
(K) cvwbi •Îawe›`y Kv‡K e‡j?
(L) iæ×Zvcxq cÖmvi‡Y wm‡÷g kxZj nqÑ e¨vL¨v `vI|
(L) P-V †jLwP‡Î iƒ×Zvcxq †iLv‡K mg-GbUªwc †iLv ejv
nq †Kb? (M) DÏxc‡Ki cvwb‡K ev‡®ú cwiYZ Kivi Rb¨ G›Uªwci
(M) •kjx KZ…©K msNwUZ ZvcMZxq cwieZ©‡b M¨vmwUi cwieZ©b KZ n‡e wbY©q Ki|
ZvcgvÎv KZ n‡e? DËi: 346.6 JK–1
DËi: 122.85C (N) DÏxc‡Ki cÖwµqvwU ZvcMwZwe`¨vi cÖ_g m~·K mg_©b
(N) DÏxc‡Ki Av‡jv‡K myRb I •kjxi g‡a¨ †K †ewk KvR K‡i wK bvÑ MvwYwZK we‡køl‡Yi gva¨‡g hvPvB Ki|
m¤úv`b Ki‡e? MvwYwZK we‡køl‡Yi gva¨‡g e¨vL¨v Ki| DËi: U + W = 1.30 × 104J ; Q = 1.28 × 105 J
DËi: myRb 1728.85n J cwigvY KvR K‡i‡Q
Q U + W
•kjx 1992.24 n J cwigvY KvR K‡i‡Q|
•kjx myR‡bi †P‡q †ewk KvR K‡i‡Q| DÏxc‡Ki cÖwµqvwU ZvcMwZwe`¨vi cÖ_g m~·K mg_©b K‡i bv|
nd
14 HSC Physics 2 Paper Chapter-1
45| GKwU Bwćbi mvnv‡h¨ cÖgvY ZvcgvÎv I Pv‡ci 16 gm 48| GKwU Zvc Bwćbi M„nxZ Zvc I ewR©Z Zv‡ci AbycvZ
nvB‡Wªv‡Rb M¨v‡mi AvqZb m‡gvò I iƒ×Zvcxq cÖwµqvq 5 : 2| Dr‡mi ZvcgvÎv 110K evov‡j `ÿZv 70% nq|
wظY Kiv nj| BwÄbwU 227C Ges 0C ZvcgvÎvq Kvh© BwÄbwU Zvc Drm n‡Z 1200J Zvc MÖnY K‡i|
m¤úv`b Ki‡Z cv‡i| [e. †ev. 19] [Xv., h., wm. I w`. †ev. 18]
(K) GbUªwc Kv‡K e‡j? (K) civ‣e`y¨wZK aªæeK Kx? [2q Aa¨vq]
(L) Cp A‡cÿv Cv †QvU †Kb? e¨vL¨v Ki| (L) PvwR©Z †MvjvKvi cwievnxi †K‡›`ª I c„‡ô wefe mgvbÑ
(M) DÏxc‡Ki BwÄbwUi `ÿZv wbY©q Ki| e¨vL¨v Ki| [2q Aa¨vq]
DËi: 45.4% (M) BwÄbwUi `ÿZv †ei Ki|
(N) GKB cwigvY cÖmvi‡Yi Rb¨ DÏxc‡Ki Av‡jv‡K †Kvb DËi: 60%
cÖwµqvq †ewk KvR m¤úvw`Z n‡e Zvi MvwYwZK we‡kølY `vI| (N) Zvc Dr‡mi ZvcgvÎv AcwiewZ©Z †i‡L GwU‡K Kxfv‡e
DËi: m‡gvò cÖwµqvq K…ZKvR W1 n‡j, W1 = 12580 J cÖZ¨veZ©x Bwćb iƒcvšÍi m¤¢eÑ we‡kølY Ki|
iæ×Zvcxq cÖwµqvq K…ZKvR W2 n‡j, W2 = 10985 J DËi: Zvc MÖvn‡Ki ZvcgvÎv (176 – 132) K ev 44 K e„w×
A_v©r, m‡gvò cÖwµqvq m¤úvw`Z KvR †ewk| Ki‡Z n‡e|
46| Awmb wb‡Pi †jLwP‡Îi PµwU we‡kølY K‡i ejj| GwU 1
49| GKwU cÖZ¨vMvgx BwÄb M„nxZ Zv‡ci 6 Ask Kv‡R
Kv‡b©vi Pµ| [wm. †ev. 19]
P cwiYZ K‡i| Gi ZvcMÖvn‡Ki ZvcgvÎv 54K Kgv‡j `ÿZv
wظY nq| Dr‡m e¨eüZ c`v‡_©i fi m GKK I Av‡cwÿK
A (P1, 10)
Pvc (Nm–2)
Zvc s GKK| [iv. Kz. P. e. †ev. 18]
T1 = 434K
B = (P2, 20)
(K) AšÍt¯’ kw³ Kv‡K e‡j?
(L) Bwćbi Kg©`ÿZv I †iwd«Rv‡iU‡ii Kvh©m¤úv`K
¸Yvs‡Ki g‡a¨ cv_©K¨ wbiƒcY Ki|
D(P4,15) C (P3, 30) (M) Gi Zvc Dr‡mi ZvcgvÎv wbY©q Ki|
T2 = 350K
O DËi: 324 K
V
AvqZb (cm3) (N) Bwćbi `ÿZv wظY Kiv n‡j Dr‡m e¨eüZ c`v‡_©i
†gvjvi M¨vm aªæeK 8.31 J mol–1K–1 GbUªwc evo‡e bvwK Kg‡e MvwYwZKfv‡e e¨vL¨v `vI|
(K) Avav‡bi †Kvqv›Uvqb Kx? DËi: GbUªwci cwieZ©b 0.223 ms > 0
(L) mgvšÍivj cvZ avi‡Ki aviKZ¡ cvZ؇qi ga¨eZ©x AZGe, MÖvn‡Ki ZvcgvÎv cwieZ©b K‡i `ÿZv wظY Ki‡j
gva¨‡gi Dci wbf©i K‡i wK? e¨vL¨v Ki| [2q Aa¨vq] Dr‡m e¨eüZ c`v‡_©i GbUªwci cwieZ©b n‡e bv| wKš‘
(M) 1 †gvj Av`k© M¨v‡mi Rb¨ DÏxc‡Ki AB As‡k K…Z Dr‡mi ZvcgvÎv e„w× K‡i `ÿZv wظY Ki‡j Dr‡m e¨eüZ
KvR wbY©q Ki| c`v‡_©i GbUªwc e„w× cv‡e|
DËi: 2499.863 J 50| knx` GKwU BwÄb •Zwi K‡i `vex Kij Zvi BwÄbwU
(N) Zvwm‡bi we‡kølY mwVK wQj wKbv G›Uwc cwieZ©‡bi Kv‡b©vi cÖZ¨vMvgx BwÄb| GwU Drm n‡Z M„nxZ Zv‡ci GK
mv‡c‡ÿ MvwYwZK we‡kølYmn gšÍe¨ Ki|
PZz_©vsk Kv‡R cwiYZ K‡i evKx 300J Zvc MÖvn‡K eR©b
mgvavb: PµwU‡Z †gvU GbUªwci cwieZ©b dS1 = dS2 + 0 + 0
K‡i| knx` Zvi Bwćbi Zvc Dr‡m I MÖvn‡Ki ZvcgvÎv
= 5.76 – 5.76 + 0 + 0
†c‡qwQj h_vµ‡g 350K I 310K| [Xv. †ev. 17]
=0
(K) ZvcMwZwe`¨vi 2q m~Î wjL|
47| GKwU Kv‡b©vBwÄb m‡gvò cÖmviY, iƒ×Zvcxq cÖmviY,
(L) Zv‡ci cwienb AcÖZ¨veZ©x cÖwµqv †Kb? e¨vL¨v Ki|
m‡gvò ms‡KvPb I iæ×Zvcxq ms‡KvPb G PviwU av‡c KvR
K‡i| Bwćbi Zvc Drm I Zvc MÖvn‡Ki ZvcgvÎv h_vµ‡g (M) Zvc Dr‡mi Zvc wbY©q Ki|
1000C I 500C| avc PviwU‡Z m¤úvw`Z Kv‡Ri cwigvY
DËi: 400 J
h_vµ‡g 900J, 800J, 500J I 250J. [w`. †ev. 19]
(N) ev¯Í‡e †`Lv †Mj Zvi `vex mwVK bq| BwÄbwU‡K
(K) aviK‡Z¡i msÁv `vI| [2q Aa¨vq] cÖZ¨vMvgx Ki‡Z Kx ai‡bi cwieZ©b Ki‡Z n‡e
(L) †Mvj‡Ki Af¨šÍ‡i mKj we›`y‡Z wefe mgvbÑ e¨vL¨v MvwYwZK we‡køl‡Yi gva¨‡g e¨vL¨v Ki|
Ki| [2q Aa¨vq] DËi: Dr‡mi ZvcgvÎv, T1 = 413.33 K Ki‡j ev 63.33 K
(M) BwÄb KZ…©K †gvU m¤úvw`Z Kv‡Ri cwigvY wbY©q Ki| e„w× Ki‡j BwÄbwU cÖZ¨veZ©x n‡e|
DËi: 950 J 51| wc÷bhy³ GKwU wmwjÛv‡i wKQz M¨vm Ave× Av‡Q| 300
(N) DÏxc‡Ki BwÄbwUi Zvc Dr‡mi ZvcgvÎv evov‡bvi Pa w¯’i Pv‡c ax‡i ax‡i 600 J Zvckw³ mieivn Kivq wm‡÷g
†P‡q Zvc MÖvn‡Ki ZvcgvÎv mgcwigvY Kgv‡j `ÿZv KZ…©K m¤úvw`Z Kv‡Ri cwigvY nj 900 J| [iv. †ev. 17]
Av‡iv e„w× cv‡eÑ MvwYwZK we‡køl‡Yi gva¨‡g h_v_©Zv (K) Zvc Bwćbi Kg©`ÿZv Kx?
hvPvB Ki| (L) iæ×Zvcxq ms‡KvP‡b wm‡÷‡gi Af¨šÍixY kw³ e„w× cvq †Kb?
DËi: BwÄbwUi `ÿZv, = 43.69% (M) M¨v‡mi AvqZ‡bi cwieZ©b wbY©q Ki|
= 47.13% ; > DËi: 3m3
ZvcMwZwe`¨v Final Revision Batch 15
(N) ÒDÏxcK Abymv‡i kw³i msiÿYkxj bxwZwU jw•NZ nq 54| GKwU Kv‡b©v BwÄb 510 K ZvcgvÎvi Drm †_‡K 1400J
bv|ÓÑ MvwYwZK we‡køl‡Yi gva¨‡g Gi mZ¨Zv hvPvB Ki| Zvc †kvlY K‡i MÖvn‡K 800J Zvc eR©b Ki| [P. †ev. 17]
DËi: dQ = 600J ; dU = – 300J [ÔMÕ n‡Z cvB] Ges (K) ZvcMwZwe`¨vi k~b¨Zg m~Î Kx?
wm‡÷g KZ…©K m¤úvw`Z KvR = 900 J. (L) RM‡Zi Zvcxq g„Zz¨ ej‡Z wK eyS?
dU + dW = –300 J + 900 J = 600 J (M) BwÄbwUi Kg©`ÿZv wbY©q Ki|
dQ = dU + dW DËi: 42.86%
DÏxcK Abymv‡i kw³i msiÿYkxj bxwZwU jw•NZ nq bv| (N) BwÄbwUi Kg©`ÿZvi 54% Ki‡Z n‡j Kx Kx e¨e¯’v
†bIqv †h‡Z cv‡i Zv MvwYwZKfv‡e e¨vL¨v Ki|
52| c`v_©weÁv‡bi GKRb M‡elK mKj †`vlÎæwUgy³
DËi: Drm †_‡K 1739.13J Zvc †kvlY Ki‡j Kg©`ÿZv
GKwU Zvc BwÄb •Zwi Ki‡jb; hv Kv‡b©v Bwćbi mv‡_
54% Kiv m¤¢e|
Zzjbxq| BwÄbwU 200C ZvcgvÎvq Zvc Drm †_‡K 600J Zvc MÖvn‡K 644J Zvc eR©b Ki‡jI h‡š¿i `ÿZv 54% Kiv m¤¢e|
Zvc MÖnY K‡i Ges MÖvn‡K 400J Zvc eR©b K‡i| wZwb 55| 0C ZvcgvÎvi 505g eid‡K 47.5C ZvcgvÎvi
ej‡jb, ÒDr‡mi ZvcgvÎv cwieZ©b bv K‡iI h‡š¿i `ÿZv 4.8kg cvwbi mv‡_ †gkv‡bv nj| [eid Mj‡b Av‡cwÿK
70% Kiv m¤¢e|Ó myßZvc lf = 3,36,000 Jkg–1, cvwbi Av‡cwÿK Zvc SW =
[Kz. †ev. 17]
(K) AcÖZ¨veZ©x cÖwµqv Kv‡K e‡j? 4200 Jkg–1K–1 I cvwbi ev®úxfe‡bi Av‡cwÿK myßZvc
(L) wK¬wbK¨vj _v‡g©vwgUv‡ii 0F †_‡K `vM KvUv _v‡K bv lv = 22,68,000 Jkg–1] [e. †ev. 17]
†Kb? e¨vL¨v Ki| (K) nj wµqv Kx? [4_© Aa¨vq]
(M) Zvc MÖvn‡Ki ZvcgvÎv wbY©q Ki| (L) avZzmg~‡ni m~Pb K¤úvsK bv _vK‡j Kx NUbv NUZ e¨vL¨v
DËi: 42.33C Ki| [8g Aa¨vq]
(M) DÏxc‡K ïaygvÎ eid Mjvi d‡j G›Uªwci KZ cwieZ©b n‡e?
(N) M‡el‡Ki Dw³wU h_v_© wKbv? MvwYwZK we‡køl‡Yi
DËi: 621.54 JK–1
gva¨‡g †`LvI|
(N) Zzwg Kxfv‡e DÏxc‡Ki wgkÖ‡Yi †gvU G›Uªwci cwieZ©b
DËi: Dr‡mi ZvcgvÎv w¯’i †i‡L MÖvn‡Ki ZvcgvÎv Kwg‡q wbY©q Ki‡e Zv MvwYwZKfv‡e e¨vL¨v Ki|
141.9 K G cwiYZ Kiv n‡jI `ÿZv 70% Kiv m¤¢e; ZvB mgvavb: S1 = 621.54 JK–1 : S2 = 258.33 JK–1
M‡el‡Ki Dw³wU h_v_©| S3 = –778.46 JK–1
53| GKwU cÖZ¨veZ©x Zvc Bwćbi Zvc Drm Ges Zvc wm‡÷‡gi †gvU G›Uªwci cwieZ©b S = S1 + S2 + S1
MÖvn‡Ki ZvcgvÎv h_vµ‡g 550C Ges 138C| m‡gvò = 621.54 + 258.33 – 778.46
cÖmvi‡Y M„nxZ Zv‡ci cwigvY 750 J. [h. †ev. 17] = 101.41 JK–1
56| GKwU Kwdc‡U bvovbxi mvnv‡h¨ Lye †Rv‡i Kwd bvov
Y A
T1 = 550C nj| d‡j Kwdi AvqZb 50 cm3 e„w× †cj| GKB mg‡q
KwdcU n‡Z 40 J Zvc cwienb Ges cwiPjb c×wZ‡Z wbM©Z
P B nj| evqyi Pvc = 1 × 105 Nm–2| [wm. †ev. 17]
(K) Zvcxq wm‡÷g Kx?
(L) Bwćbi `ÿZv KL‡bvB 100% n‡Z cv‡i bvÑ e¨vL¨v Ki|
D C (M) Kwdi Dci KZUzKz KvR Kiv nj|
T2 = 138C
DËi: 5 J
O X (N) GwU ZvcMwZwe`¨vi cÖ_g m~·K mg_©b K‡i wKbv hvPvB
V
(K) ZvcMwZwe`¨vi k~b¨Zg m~ÎwU Kx? K‡i e¨vL¨v Ki|
–1 –1 DËi: dU = – 45 J
(L) M¨v‡mi †gvjvi Av‡cwÿK Zvc 20.8J mole K
†h‡nZz, KwdcU bvov‡bv n‡q‡Q ZvB Af¨šÍixY kw³ n«vm
ej‡Z Kx †evSvq?
†c‡q‡Q A_©vr, Zvc wbM©Z n‡q‡Q| Avevi Zvc wbM©Z n‡j dU
(M) DÏxc‡Ki Zvc Bwćbi Z…Zxq av‡c GbUªwci cwieZ©b Gi gvb FYvZ¥K n‡e| A_©vr, NUbvwU ZvcMwZwe`¨vi cÖ_g
wbY©q Ki| m~·K mg_©b K‡i|
DËi: – 0.911 JK–1 57| GKwU Zvc Bwćbi Kvh©Ki c`v_© 600K ZvcgvÎvi
(N) DÏxc‡Ki Zvc BwÄbwUi `&ÿZv wظY e„w× Ki‡Z wK Drm †_‡K 1200 J Zvc MÖnY K‡i Ges 300K ZvcgvÎvi
e¨e¯’v MÖnY Kiv †h‡Z cv‡i? MvwYwZKfv‡e we‡kølY Ki| MÖvn‡K 600 J Zvc eR©b K‡i| [w`. †ev. 17]
DËi: `ÿZv wظY ev 100% Ki‡Z g‡b Kwi, MÖvn‡Ki (K) cÖZ¨vMvgx cÖwµqv Kx?
ZvcgvÎv T Ki‡Z n‡e| (L) ZvcMwZwe`¨vi k~b¨Zg m~ÎwU e¨vL¨v Ki|
T=0K (M) Zvc Bwćbi `ÿZv wbY©q Ki|
wKš‘ cÖK…wZ‡Z 0 K ZvcgvÎv AR©b m¤¢e bq| AZGe, Dr‡mi DËi: 50%
ZvcgvÎv e„w× Ki‡Z n‡e| g‡b Kwi, GB cwiewZ©Z ZvcgvÎv T1. (N) Zvc BwÄbwU cÖZ¨vMvgx bv AcÖZ¨vMvgxÑ MvwYwZK hy³mn
T1 = ; hv ev¯Íe m¤§Z bq| KviY G‡Z Amxg kw³ mieivn wm×všÍ `vI|
Q Q Q Q
Ki‡Z nq| A_©vr Zvc BwÄbwUi `ÿZv †Kv‡bvfv‡eB wظY mgvavb: 1 = 2 JK–1 ; 2 = 2 JK–1 ; 1 = 2
T1 T2 T1 T2
Kiv m¤¢e bq| Avgiv ej‡Z cvwi Zvc BwÄbwU cÖZ¨vMvgx|
nd
16 HSC Physics 2 Paper Chapter-1
Av‡iv wKQz ¸iæZ¡c~Y© m„Rbkxj cÖkœ (N) †P¤^viwUi P~ovšÍ ZvcgvÎvq M¨v‡mi Nb‡Z¡i †Kgb
cwieZ©b n‡eÑ MvwYwZKfv‡e we‡klY K‡iv|
1| nvmcvZv‡j Wv³v‡ii civg‡k© bvm© GK †ivMxi †`‡ni mgvavb: iæ×Zvcxq cÖwµqvq,
ZvcgvÎv 107F ch©‡eÿY Ki‡jb hv Wv³v‡ii Kv‡Q
P1V1 = P2V2
Awek^vm¨ g‡b n‡jv| [LvMovQwo miKvwi K‡jR; wb.c. 17] 1
(K) ZvcMwZwe`¨vi cÖ_g m~ÎwU wee„Z K‡iv| ∵
V
(L) iƒ×Zvcxq ms‡KvP‡b wm‡÷‡gi Af¨šÍixY kw³ e„w× cvq P1 P2
=
†Kb? 1 2
1
(M) bvm© KZ…©K ch©‡ewÿZ ZvcgvÎv‡K †Kjwfb †¯‥‡j cÖKvk
2 = 1
P
2
K‡iv| P1
F – 32 K – 273 1
mgvavb: 9
=
5 = (3) 100
1.33
F – 32 2 = 228.422 kgm–3
9 5 + 273 = K NbZ¡ e„w× = (2 – 1)
107 – 32
K=
= 228.422 – 100
9 5 + 273 = 128.422 kgm–3
K = 314.667 K A_©vr P‚ovšÍ ZvcgvÎvq M¨v‡mi NbZ¡ 128.422 kgm–3
A_©vr ch©‡ewÿZ ZvcgvÎv 314.667 K| (Ans.) e„w× cv‡e| (Ans.)
(N) Wv³vi mv‡ne M‡elYvMv‡i ¯’vwcZ GKwU Av`k© Wv³vix 3| [bIqve dqRy‡bœQv miKvwi K‡jR, Kzwgjøv; wb. c. 19]
_v‡g©vwgUv‡ii wb¤œ I EaŸ© w¯’iwe›`yi †P‡q DÏxc‡Ki †Kv‡bv GKwU Av`k© M¨vm‡K P-V †jLwP‡Î abca c‡_ GKwU
_v‡g©vwgUv‡ii wb¤œ I EaŸ© w¯’iwe›`y h_vµ‡g 2F †ewk
Pµ m¤úbœ Kiv‡bv n‡jv| Gi d‡j abca P‡µ †gvU K…ZKvR
Ges 3.5F Kg ch©‡eÿY Ki‡jb| GB Z‡_¨i Av‡jv‡K 1.2 J| ab c‡_ AšÍt¯’ kw³i cwieZ©b 3 J Ges Kv‡Ri gvb
†ivMxi †`‡ni cÖK…Z ZvcgvÎv KZ n‡e? 5 J cvIqv †Mj| GQvov ca c‡_ M¨vmwU 2.5 J Zvckw³
X – xice TF – 32 Xice = (32 + 2) †kvlY K‡i|
mgvavb: X – X =
212 – 32
steam ice = 34F (K) GbUªwc Kx?
107 – 34 TF – 32 Xsteam = (212 – 3.5)
= (L) ZvcMwZwe`¨vi cÖ_ m~Î I wØZxq m~‡Îi g‡a¨ cv_©K¨ †Kgb?
208.5 – 34 180 = 208.5F (M) bc c‡_ †kvwlZ Zvckw³i cwigvY KZ?
TF – 32
= 0.418 DËi: bc c‡_ †kvwlZ bq, eis 9.3 J cwigvY Zvc ewR©Z n‡q‡Q|
180
TF = 107.301F (N) ab, bc I ca c‡_ ZvcMwZwe`¨vi cÖ_g m~Î cÖ‡hvR¨ nq
A_©vr †ivMxi †`‡ni cÖK…Z ZvcgvÎv 107.301F| (Ans.) wK- bv †m m¤ú‡K© †Zvgvi gZvgZ e¨vL¨v K‡iv|
2| 26C ZvcgvÎvq GKwU M¨vm †P¤^v‡i 1 evqygÛjxq Pv‡c DËi: c~Y© P‡µ M„nxZ Zvc, dQ = dW + 1.2 J
100 kgm–3 Nb‡Z¡i CO2 M¨vm Av‡Q| †P¤^viwU‡Z M¨v‡mi Pvc hv dQ1 + dQ2 + dQ3 = 8 + 2.5 – 9.3 = 1.2 J Gi mgvb|
3 evqygÛjxq Kiv n‡j †P¤^viwU nVvr †d‡U hvq| AZGe, ab, bc I ca c‡_ ZvcMwZwe`¨vi cÖ_g m~Î cÖ‡hvR¨|
[†bŠevwnbx K‡jR, PÆMÖvg; cÖ¯w‘ Zg~jK cixÿv 22] 4| wP‡Î 2 †gvj M¨v‡mi Pvc I ZvcgvÎvi cwieZ©b †`Lv‡bv
(K) wbe„wË wefe Kx? n‡q‡Q| M¨v‡mi Cv = 12.5 J mol–1K–1 Ges 1 atm =
(L) Zvc MÖvn‡Ki ZvcgvÎv n«vm †c‡j Kv‡b©v Bwćbi `ÿZv 105Pa| †jLwP‡Îi OA, AB I BC As‡ki Kv‡Ri
e„w× cvqÑ e¨vL¨v K‡iv| Zzjbvg~jK ch©‡eÿY Kiv nj| [bUi †Wg K‡jR, XvKv; wb.c. 19]
(M) †d‡U hvIqvi gyn~‡Z© †P¤^viwUi P~ovšÍ ZvcgvÎv KZ wQ‡jv? P(atm)
1– 1–
A B
mgvavb: T1P1 = T2P2 2
1–
T2 = T1
P1
P2 1
1–1.33
C
T2 = (26 + 273)
1 1.33
3 T(K)
(0, 0) 0
T2 = 392.694 K 300 600
T2 = 119.694C (K) cvwbi •Îa we›`y Kx?
A_©vr †P¤^viwUi P‚ovšÍ ZvcgvÎv 119.694C| (Ans.) (L) ZvcMwZwe`¨vi 2q m~‡Îi g~j welq¸‡jv wjL|
ZvcMwZwe`¨v Final Revision Batch 17
(M) OA †iLvi Af¨šÍixY kw³i cwieZ©b wbY©q K‡iv| ¸iæZ¡c~Y© Ávbg~jK cÖ‡kœvËi
mgvavb: Af¨šÍixY kw³i cwieZ©b,
dU = nCVdt Type-1: ZvcgvÎv cwigv‡ci g~jbxwZ
= 2 12.5 (300 – 0)
dU = 7500 J 1. ZvcMwZwe`¨vi k~b¨Zg m~ÎwU wjL| [Xv. †ev., w`. †ev., 23;
A_©vr Af¨šÍixY kw³i cwieZ©b 7500 J| (Ans.) Kz. †ev. 22; iv. †ev. 21; h. †ev. 19; h. †ev, P. †ev. 17]
(N) DÏxc‡Ki ch©‡ÿY MvwYwZKfv‡e we‡kølY K‡iv| DËi: `yBwU e¯‘ hw` Z…Zxq †Kv‡bv e¯‘i mv‡_ Zvcxq
mgvavb: OA As‡k, mvg¨ve¯’vq _v‡K Z‡e cÖ_‡gv³ e¯‘ `ywU ci¯ú‡ii mv‡_
P T nIqvq V aªæeK Zvcxq mvg¨ve¯’vq _vK‡e|
dW1 = PdV = 0 J 2. _v‡g©vwgUvi Kv‡K e‡j? [ivRkvnx K‡jR, ivRkvnx]
AB As‡k,
DËi: †h h‡š¿i mvnv‡h¨ †Kv‡bv e¯‘i ZvcgvÎv mwVKfv‡e
PdV = nRdT
cwigvc Kiv hvq Ges wewfbœ e¯‘i ZvcgvÎvi cv_©K¨ wbY©q
dW2 = 2 8.314 (600 – 300) [∵ dW = PdV]
Kiv hvq Zv‡K _v‡g©vwgUvi e‡j|
dW2 = 4988.4 J
BC As‡k, 3. ZvcgvÎv Kx?
V2 DËi: ZvcgvÎv n‡”Q †Kv‡bv e¯‘i Zvcxq Ae¯’v hv Ab¨
dW3 = nRT ln
V1 †Kv‡bv e¯‘i Zvcxq ms¯ú‡k© Avb‡j H Zvc MÖnY Ki‡e, ev
V2 P 2 Zvc eR©b Ki‡e Zv wba©viY K‡i|
Avevi, T aªæeK _vK‡j V = P = 2
1 1
dW3 = 2 8.314 600 ln(2)
dW3 = 6915.391 J
Type-2: ZvcMwZwe`¨vi cÖ_g m~Î
A_©vr OA, AB I BC As‡ki Kv‡R h_vµ‡g 0 J,
1. Af¨šÍixY kw³ Kv‡K e‡j? [Xv. †ev. 23;
4988.4 J I 6915.391 J| (Ans.) w`. †ev. 23; Kz. †ev. 22]
5| GKwU wW‡Rj Bwćbi wmwjÛv‡i Av`k© M¨v‡mi Pvc, A_ev, AšÍt¯’ kw³i msÁv `vI| [w`. †ev. 22; g. †ev. 22]
AvqZb I ZvcgvÎv cwieZ©‡bi GKwU m¤ú~Y© Pµ †jLwP‡Î A_ev, AšÍt¯’ kw³ Kx? [iv. †ev., Kz. †ev., w`. †ev. 21;
Dc¯’vcb Kiv n‡q‡Q| A I B we›`yi ZvcgvÎv h_vµ‡g mw¤§wjZ †ev. 18]
300K I 600K| X I Y bv‡gi `yB e¨w³ `ywU Kv‡b©v BwÄb DËi: e¯‘i Af¨šÍi¯’ AYy, cigvYy I †gŠwjK KYvmg~‡ni
•Zwi Ki‡jv| X Gi BwÄb B I C we›`yi ZvcgvÎvq Ges Y •iwLK MwZ, ¯ú›`b MwZ I AveZ©b MwZ Ges Zv‡`i ga¨Kvi
Gi BwÄb D I A we›`yi ZvcgvÎvq Kvh©iZ|
cvi¯úwiK e‡ji Kvi‡Y D™¢‚Z †h mnRvZ kw³ KvR m¤úv`b
[miKvwi weÁvb K‡jR, †ZRMuvI, XvKv; wb. cÖ. 18]
Ki‡Z cv‡i Ges Ab¨ kw³‡Z iƒcvšÍwiZ n‡Z cv‡i Zv‡K
Af¨šÍixY kw³ e‡j|
2. wm‡÷g Kx? [e. †ev. 22; e. †ev. 21; wm. †ev. 17]
B C DËi: ZvcMZxq cixÿv-wbixÿvi mgq RoRM‡Zi †h wbw`©ó
16×105 Ask we‡ePbv Kiv nq Zv‡K wm‡÷g e‡j|
3. •Îawe›`y Kv‡K e‡j? [wm. †ev. 22]
Pvc Pa
7.8×105 D DËi: GKwU wbw`©ó Pv‡c †h ZvcgvÎvq †Kv‡bv c`v_© KwVb,
Zij I evqexqiƒ‡c mvg¨ve¯’vq _v‡K Zv‡K H c`v‡_©i
•Îawe›`y e‡j|
1×105 A
4. ZvcMwZwe`¨vi 1g m~ÎwU wee„Z Ki| [iv. †ev., h. †ev. 22;
wm. †ev. 21; Xv. †ev. 19]
14 × 10–4 6 × 10–4 10 × 10–4
DËi: ZvcMwZwe`¨vi cÖ_g m~ÎwU n‡jvÑ hLb hvwš¿K kw³‡K
AvqZb m3
m¤ú~Y©iƒ‡c Zv‡c ev Zvckw³‡K m¤ú~Y©iƒ‡c Kv‡R iƒcvšÍwiZ
(K) GbUªwc Kv‡K e‡j?
Kiv nq ZLb hvwš¿K kw³ I Zvc ci¯ú‡ii mgvbycvwZK nq|
(L) ÔKv‡b©v Bwćbi `ÿZv 100% nIqv m¤¢e bqÕÑ †Kb?
5. cvwbi •Îa we›`y Kv‡K e‡j? [Xv. †ev. 19; P. †ev. 22]
(M) B n‡Z C †Z †h‡Z Kv‡Ri cwigvY wbY©q K‡iv|
DËi: 736 J DËi: 4.58 mm cvi` Pv‡c †h ZvcgvÎvq weï× eid, cvwb I
(N) Y Gi •Zwi Kv‡b©v Bwćbi `ÿZv †ewkÑ Dw³wUi Rjxq ev®ú GKB Zvcxq mv‡g¨ _v‡K Zv‡K cvwbi •Îa we›`y e‡j|
h_v_©Zv MvwYwZK we‡kølYmn e¨vL¨v K‡iv| 6. ZvcMZxq e¨e¯’v ev wm‡÷g Kx? [wm. †ev. 17]
DËi: X-Bwćbi `ÿgZv, X = 76.67% DËi: Zj ev †eóbx Øviv mxgve× wbw`©ó cwigvY e¯‘‡K
Y-Bwćbi `ÿgZv, Y = 87.18% ZvcMZxq e¨e¯’v ev wm‡÷g e‡j, †hLv‡b ZvcMZxq Pjivwk
A_©vr Y Gi •Zwi Kv‡b©v Bwćbi `ÿZv †ewk| cwigvc Kiv hvq|
nd
18 HSC Physics 2 Paper Chapter-1
Type-3: ZvcMZxq cwieZ©b I KvR 3. †iwd«Rv‡iU‡ii Kg©m¤úv`b mnM Kv‡K e‡j? [g. †ev. 23]
DËi: †iwd«Rv‡iUi n‡Z AcmvwiZ Zvc Ges Kg‡cÖmi KZ…©K
1. e× wm‡÷g Kv‡K e‡j? [e. †ev. 23] mieivnK…Z hvwš¿K Kv‡Ri AbycvZ‡K †iwd«Rv‡iU‡ii
DËi: †h wm‡÷g cwi‡e‡ki mv‡_ ïay kw³ wewbgq Ki‡Z Kg©m¤úv`b mnM e‡j|
cv‡i wKš‘ fi wewbgq Ki‡Z cv‡i bv Zv‡K e× wm‡÷g e‡j| 4. Zv‡ci hvwš¿K Zzj¨v¼ Kv‡K e‡j? [iv. †ev. 23]
2. †gvjvi Av‡cwÿK Zvc ev †gvjvi ZvcaviY ÿgZv Kv‡K DËi: GKK Zvc Drcbœ Ki‡Z †h cwigvY KvR Ki‡Z nq ev
e‡j?[w`. †ev. 21] GKK Zvc Øviv †h cwigvY KvR Kiv hvq Zv‡K Zv‡ci hvwš¿K
DËi: GK †gvj M¨v‡mi ZvcgvÎv GK †Kjwfb (1 K) e„w× Zzj¨v¼ (mgZv) e‡j|
Ki‡Z cÖ‡qvRbxq Zvc‡K H M¨v‡mi †gvjvi ZvcaviY ÿgZv 5. †iwd«Rv‡iUi Kv‡K e‡j?
ev †gvjvi Av‡cwÿK Zvc e‡j| DËi: †h hš¿ hvwš¿K KvR m¤úbœ K‡i wb¤œ ZvcgvÎvi Drm
3. Av‡cwÿK Zvc Kv‡K e‡j? [h. †ev. 19] n‡Z Zvc AcmviY K‡i D”P ZvcgvÎvi Avav‡i eR©b K‡i
DËi: 1 kg f‡ii †Kv‡bv e¯‘i ZvcgvÎv 1 K e„w× Ki‡Z Zv‡K †iwd«Rv‡iUi e‡j|
cÖ‡qvRbxq Zvc‡K H e¯‘i Av‡cwÿK Zvc e‡j| 6. Kvh©K…Z mnM Kv‡K e‡j?
4. m‡gvò cÖwµqv Kv‡K e‡j? [Kz. †ev. 19] DËi: †iwd«Rv‡iUi n‡Z AcmvwiZ Zvc I K‡¤úªmi KZ…©K
DËi: †h cwieZ©‡b M¨v‡mi ZvcgvÎv me©`v aªæe _v‡K Zv‡K mieivnK…Z hvwš¿K Kv‡Ri AbycvZ‡K Kvh©K…Z mnM e‡j|
m‡gvò cwieZ©b e‡j| w¯’i ZvcgvÎvq hw` †Kv‡bv M¨vm‡K 7. wngvqK Kv‡K e‡j?
cÖmvwiZ A_ev m¼zwPZ Kiv nq Z‡e †mB cwieZ©b‡K m‡gvò DËi: wb¤œ ùzUbv‡¼i †Kv‡bv Zij cwicvk¦© n‡Z jxbZvc ev
cÖmviY ev m‡gvò ms‡KvPb e‡i Ges †h cÖwµqvq G cwieZ©b myßZvc MÖnY K‡i cwicvk¦©‡K kxZj K‡i Zv‡K wngvqK e‡j|
N‡U Zv‡K m‡gvò cÖwµqv e‡j| 8. Kv‡b©v Pµ Kv‡K e‡j?
5. ZvcMwZwe`¨vi 2q m~ÎwU wee„Z Ki| [Xv. †ev. 17] DËi: †h P‡µ †Kv‡bv GKwU Av`k© M¨vm Kvh©Kix c`v_©
DËi: evB‡ii †Kv‡bv kw³ KZ…©K m¤úvw`Z KvR e¨wZ‡i‡K wn‡m‡e GKwU wbw`©ó AvqZb, Pvc I ZvcgvÎv n‡Z Avi¤¢ K‡i
kxZj e¯‘ n‡Z Dò e¯‘‡Z Zvc wb‡R cÖevwnZ n‡Z cv‡i bv| GKwU m‡gvò cÖmviY I GKwU iæ×Zvc cÖmviY wd‡i Av‡m,
6. iæ×Zvcxq cÖwµqv Kx? [h. †ev. 15] Zv‡K Kv‡b©v Pµ e‡j|
DËi: †h ZvcMZxq cÖwµqvq wm‡÷g †_‡K Zvc evB‡i hvq bv 9. wngvqb Kv‡K e‡j?
ev evB‡i †_‡K †Kv‡bv Zvc wm‡÷‡g Av‡m bv ZvB iæ×Zvcxq DËi: K…wÎg Dcv‡q †Kv‡bv Ave× ¯’vb‡K cvwicvwk¦©K Ae¯’v
cÖwµqv| n‡Z wb¤œ ZvcgvÎvq ivLvi c×wZ‡K wngvqb e‡j|
7. wb¤œ w¯’i we›`y Kv‡K e‡j? 10. DòZvwgwZ c`v_© Kx?
DËi: †h ZvcgvÎvq weï× eid cvwbi mv‡_ mvg¨ve¯’vq _vK‡Z DËi: †hme c`v‡_©i DòZvwgwZ ag© e¨envi K‡i _v‡g©vwgUvi
cv‡i A_©vr cÖgvY Pv‡c †h ZvcgvÎvq weï× eid Mj‡Z ïiæ •Zwi Kiv nq Zv‡`i DòZvwgwZ c`v_© e‡j| †hgbÑ cvi`|
K‡i Zv‡K wb¤œ w¯’iwe›`y ev eid we›`y ev Mjbv¼ e‡j| 11. DòZvwgwZ ag© Kx?
8. EaŸ© w¯’i we›`y Kv‡K e‡j? DËi: DòZvi cwieZ©‡b c`v‡_©i †h we‡kl we‡kl ag©
DËi: †h ZvcgvÎvq weï× cvwb Rjxq ev‡®úi mv‡_ mylgfv‡e cwiewZ©Z nq Ges †h a‡g©i cwieZ©b jÿ K‡i
mvg¨ve¯’vq _vK‡Z cv‡i ev cÖgvY Pv‡c †h, ZvcgvÎvq weï× mnR, mwVK I m~²fv‡e DòZv wbY©q Kiv hvq Zv‡K
cvwb Rjxq ev‡®ú cwiYZ n‡Z ïiæ K‡i Zv‡K EaŸ© w¯’i we›`y DòZvwgwZ ag© e‡j| †hgbÑ cvi`¯Í‡¤¢i D”PZv|
ev w÷g we›`y ev ùzUbv¼ e‡j|
Type-5: GbUªwc
9. aªæe AvqZb cÖwµqv Kv‡K e‡j?
DËi: †h cÖwµqvq †Kv‡bv wm‡÷‡gi AvqZb aªæe †i‡L 1. GbUªwc Kv‡K e‡j? [wm. †ev. 22; Kz. †ev. 21; P. †ev. 21;
Zvckw³i ev M¨v‡mi AšÍt¯’ kw³i cwieZ©b NUv‡bv nq Zv‡K e. †ev. 21; Xv. †ev. 15; h. †ev. 16;
P. †ev. 15; e. †ev. 19Õ w`. †ev 19]
aªæe AvqZb cÖwµqv e‡j| DËi: iæ×Zvcxq cÖwµqvq e¯‘i †h Zvcxq ag© w¯’i _v‡K ev
10. w¯’i Pv‡c †gvjvi Av‡cwÿK Zvc Kv‡K e‡j? AcwiewZ©Z _v‡K Zv‡K GbUªwc e‡j|
DËi: w¯’i Pv‡c 1 mole M¨v‡mi ZvcgvÎv 1 K e„w× Ki‡Z †h 2. cÖZ¨veZ©x ev cÖZ¨vMvgx cÖwµqv Kv‡K e‡j? [g. †ev. 21;
Zv‡ci cÖ‡qvRb nq Zv‡K w¯’i Pv‡c †gvjvi Av‡cwÿK Zvc e‡j| Kz. †ev. 16; wm. †ev. 16; e. †ev. 16; w`. †ev. 17]
11. w¯’i AvqZ‡b †gvjvi Av‡cwÿK Zvc Kv‡K e‡j? DËi: †h cÖwµqv wecixZgyLx n‡q cÖZ¨veZ©b K‡i Ges
DËi: w¯’i AvqZ‡b 1 mole M¨v‡mi ZvcgvÎv 1 K e„w× Ki‡Z m¤§yLeZ©x I wecixZgyLx cÖwµqvi cÖwZ ¯Í‡i Zvc I Kv‡Ri
†h Zv‡ci cÖ‡qvRb nq Zv‡K w¯’i AvqZ‡b †gvjvi Av‡cwÿK djvdj mgvb I wecixZ nq †mB cÖwµqv‡K cÖZ¨veZ©x cÖwµqv
Zvc e‡j| e‡j|
3. AcÖZ¨veZ©x cÖwµqv Kv‡K e‡j? [h. †ev. 22; Kz. †ev. 17]
Type-4: Zvcxq BwÄb I †iwd«Rv‡iUi
DËi: †h cÖwµqv wecixZgyLx n‡q cÖZ¨veZ©b Ki‡Z cv‡i bv
1. Bwćbi `ÿZv Kv‡K e‡j? [h. †ev. 23; iv. †ev. 17] A_©vr m¤§yLeZ©x I wecixZgyLx cÖwZ ¯Í‡i Zvc I Kv‡Ri
DËi: BwÄb GKwU P‡µ †h cwigvY Zvc‡K Kv‡R cwiYZ K‡i djvdj mgvb I wecixZ nq bv Zv‡K AcÖZ¨veZ©x cÖwµqv
Ges Zvc Drm n‡Z †h cwigvY Zvc †kvlY K‡i G‡`i e‡j|
AbycvZ‡K Bwćbi `ÿZv e‡j| 4. Zvcxq mgZv Kv‡K e‡j? [e. †ev. 15]
2. Zvcxq BwÄb Kv‡K e‡j? [Kz. †ev. 23; g. †ev. 21] DËi: wfbœ ZvcgvÎvi `ywU e¯‘ ci¯úi Zvcxq ms¯ú‡k© Avmvi
DËi: †h hš¿ Zvckw³‡K hvwš¿K kw³‡Z iƒcvšÍwiZ K‡i, ci hLb mg ZvcgvÎvq DcbxZ nq ZLb G Ae¯’v‡K Zvcxq
Zv‡K Zvcxq BwÄb e‡j| mgZv ev mvg¨ve¯’v e‡j|
ZvcMwZwe`¨v Final Revision Batch 19
Type-2: ZvcMwZwe`¨vi cÖ_g m~Î
¸iæZ¡c~Y© Abyavebg~jK cÖ‡kœvËi
1. ZvcMwZwe`¨vi P – V †jLwP‡Îi †ÿÎdj Kx cÖKvk
Type-1: ZvcgvÎv cwigv‡ci g~jbxwZ
K‡i? e¨vL¨v K‡iv| [P. †ev. 21]
1. ZvcMwZwe`¨vi k~b¨Zg m~Î n‡Z Kxfv‡e ZvcgvÎvi DËi: P – V wb‡`©kK wP‡Î †h‡Kv‡bv Ae¯’v‡b Pvc P Ges
aviYv cvIqv hvqÑ e¨vL¨v K‡iv| [Kz. †ev., w`. †ev. 21] AvqZ‡bi cwieZ©b dV n‡j, dW = PdV
DËi: ZvcgvÎv n‡”Q e¯‘i Zvcxq Ae¯’v hv wba©viY K‡i D
V2
e¯‘wU‡K Ab¨ e¯‘i Zvcxq ms¯ú‡k© ivL‡j Zvc †`‡e bv dW = V PdV C
1
†b‡e|
V
ZvcMwZwe`¨vi k~b¨Zg m~ÎwU n‡jv, Ò`yBwU e¯‘ hw` Z…Zxq W = 2 PdV
Pvc, P
V1
†Kv‡bv e¯‘i mv‡_ Zvcxq mvg¨e¯’vq _v‡K Z‡e cÖ_‡gv³ e¯‘
hv wb‡`©kK wP‡Î Ave×
`yBwU ci¯ú‡ii mv‡_ Zvcxq mvg¨ve¯’vq _vK‡e|Ó m~ÎwU †_‡K A B
¯úó †h, cÖwZwU e¯‘i Ggb GKwU ag© Av‡Q hv cwigvYMZfv‡e ABCD †ÿ‡Îi †ÿÎdj| V1dVV2
Ab¨ GKwU e¯‘i mv‡_ mgvb n‡j e¯‘Øq Zvcxq mv‡g¨ _vK‡e| ZvcMwZwe`¨vi P – V AvqZb, V
GB ag©wU n‡jv ZvcgvÎv| †jLwP‡Îi †ÿÎdj †gvU
2. ZvcMwZwe`¨vi k~b¨Zg m~ÎwU e¨vL¨v Ki| [w`. †ev. 17] K…ZKvR cÖKvk K‡i|
DËi: ZvcMwZwe`¨vi k~b¨Zg m~ÎwU n‡jvÑ `ywU e¯‘ hw` Z…Zxq 2. ZvcMwZwe`¨vi cÖ_g m~ÎwU kw³i wbZ¨Zvi GKwU we‡kl
†Kv‡bv e¯‘ (Zvcgvb hš¿) Gi mv‡_ c„_Kfv‡e Zvcxq mv‡g¨ iƒc gvÎÑ e¨vL¨v K‡iv| [e. †ev. 21]
_v‡K Z‡e cÖ_‡gv³ e¯‘ `ywU ci¯ú‡ii mv‡_ Zvcxq mv‡g¨ DËi: ZvcMwZwe`¨vi cÖ_g m~Î: hLb †Kv‡bv wm‡÷‡g Zvckw³
_vK‡e| mieivn Kiv nq ZLb †m Zvckw³i wKQz Ask wm‡÷‡gi
e¨vL¨v: A I B wfbœ ZvcgvÎvi `ywU e¯‘ GKwU Kzcwievnx Af¨šÍixY kw³ e„wׇZ mnvqZv K‡i Ges evwK Ask Øviv
†`Iqvj w`‡q c„_K Kiv Ae¯’vq Z…Zxq GKwU e¯‘ Gi wm‡÷g Zvi cwi‡e‡ki Ici evwn¨K KvR m¤úv`b K‡i|
ms¯ú‡k© ivLv n‡j wKQzÿY ci A I B Dfq e¯‘B Z…Zxq e¯‘ kw³i wbZ¨Zvi m~Î Abyhvqx kw³i †Kv‡bv m„wó ev aŸsm †bB|
C Gi mv‡_ Zvcxq mv‡g¨ †cŠQvq| kw³ †Kej GK iƒc †_‡K Ab¨ iƒ‡c iƒcvšÍwiZ n‡Z cv‡i|
3. wK¬wbK¨vj _v‡g©vwgUv‡ii 0 F †_‡K `vM KvUv _v‡K bv ZvcMwZwe`¨vi cÖ_g m~Î cÖK…Zc‡ÿ kw³i wbZ¨Zv m~‡ÎiB
†Kb? e¨vL¨v Ki| [Kz. †ev. 17] GKwU wee„wZ| weÁvbx K¬wmqvm G m~·K mvaviY iƒ‡c eY©bv
DËi: wK¬wbK¨vj _v‡g©vwgUvi gvbe‡`‡ni ZvcgvÎv cwigv‡ci K‡ib| Zuvi g‡Z, †Kv‡bv wm‡÷‡g Zvckw³ Ab¨ †Kv‡bv
Rb¨ e¨eüZ nq| gvbe‡`‡ni ZvcgvÎv 95 F n‡Z 110 F kw³‡Z iƒcvšÍwiZ n‡j A_ev Ab¨ †Kv‡bv kw³ Zv‡c
Gi g‡a¨ _v‡K e‡j G‡Z 95 F n‡Z 110 F ch©šÍ `vM KvUv iƒcvšÍwiZ n‡j wm‡÷‡gi †gvU kw³i cwigvY GKB _v‡K|
_v‡K| Avevi, my¯’ e¨w³i kix‡ii ZvcgvÎv mvaviYZ 98.4 Q cwigvY Zvckw³ mieivn Kivi d‡j hw` †Kv‡bv
F nq| G me Kvi‡Y wK¬wbK¨vj _v‡g©vwgUv‡i 0 F †_‡K `vM wm‡÷‡gi Af¨šÍixY cwieZ©b U Ges wm‡÷gKZ…©K
KvUv _v‡K bv|
cwi‡e‡ki Ici evwn¨K K…ZKv‡Ri cwigvY W nq, Zvn‡j
4. GKB cwigvY Zvc `ywU wfbœ e¯‘‡Z mieivn Kiv n‡jI
Q = U + W|
ZvcgvÎvi cwigvY wfbœ nq †Kb? e¨vL¨v Ki| [h. †ev. 16]
3. wm‡÷g ev e¨e¯’v Kx?
M„nxZ Zvc
DËi: Avgiv Rvwb, ZvcgvÎv e„w× = DËi: cixÿv-wbixÿvi mgq Ro RM‡Zi †h wbw`©ó Ask
fi Av‡cwÿK Zvc
we‡ePbv Kiv nq Zv‡K wm‡÷g e‡j|
A_©vr †Kv‡bv e¯‘i ZvcgvÎv e„w×i cwigvY wbf©i K‡i H e¯‘i
wm‡÷g wZb cÖKvi, h_vÑ
Av‡cwÿK Zv‡ci Dci| mgcwigvY Zvc `ywU wfbœ e¯‘‡Z
(K) e× wm‡÷g (L) Db¥y³ wm‡÷g (M) wew”Qbœ wm‡÷g|
mieivn Kiv n‡j †h e¯‘i Av‡cwÿK Zvc †ewk Zvi ZvcgvÎv
Kg e„w× cv‡e Avevi hvi Av‡cwÿK Zvc Kg Zvi ZvcgvÎv D`vniY: wc÷bhy³ wmwjÛv‡i Ave× wKQz M¨vm|
†ewk e„w× cv‡e| GRb¨ GKB cwigvY Zvc `ywU wfbœ e¯‘‡Z 4. M¨vm cÖmvi‡Y m‡gvò cÖwµqvq K…Z KvR mgPvc cÖwµqvq
mieivn Kiv n‡j ZvcgvÎvi cwigvY wfbœ nq| K…Z KvR A‡cÿv e„nËiÑe¨vL¨v Ki|
5. GKB cwigvY Zvc `ywU wfbœ e¯‘‡Z mieivn Kiv n‡jI DËi: m‡gvò cÖwµqvq ZvcgvÎv w¯’i _v‡K e‡j wm‡÷‡gi
ZvcgvÎvi cwigvY wfbœ nq †Kb? e¨vL¨v Ki| Af¨šÍixY kw³i †Kv‡bv cwieZ©b nq bv, A_©vr U = 0|
DËi: Zvc n‡jv GK cÖKvi kw³, hv VvÐv I Mi‡gi Abyf~wZ myZivs Zvc MwZwe`¨vi cÖ_g m~Îvbymv‡iÑ Q = W
RvqMvq Ab¨w`‡K ZvcgvÎv n‡jv e¯‘i Zvcxq Ae¯’v| `ywU A_©vr m‡gvò cÖwµqvq wm‡÷‡gi mieivnK…Z Zv‡ci
e¯‘i Zvc mgvb n‡jI G‡`i ZvcgvÎv wfbœ n‡Z cv‡i| KviY m¤ú~Y©UvB Kv‡R iƒcvšÍwiZ nq| Aciw`‡K mgPvc cÖwµqvq
e¯‘i ZvcgvÎv Zv‡`i Zv‡ci cwigv‡Yi Dci wbf©i K‡i bv| wm‡÷‡g mieivnK…Z Zv‡ci m¤ú~Y©UvB Kv‡R iƒcvšÍwiZ nq
wbf©i K‡i e¯‘i Zvcxq Ae¯’vi Dci ZvQvov e¯‘ `ywU GKB bv, Gi wKQz Ask wm‡÷‡gi AšÍt¯’ kw³ e„wׇZ e¨q nq| G
Dcv`v‡bi bv n‡j ZvcgvÎv wfbœ n‡Z cv‡i| Avevi Dcv`vb Kvi‡Y M¨vm cÖmvi‡Y m‡gvò cÖwµqvq K…ZKvR mgPvc
GKB n‡jI f‡ii Kvi‡Y ZvcgvÎv wfbœ n‡Z cv‡i| cÖwµqvq K…Z KvR A‡cÿv e„nËi nq|
nd
20 HSC Physics 2 Paper Chapter-1
Type-3: ZvcMZxq cwieZ©b I KvR ZvcgvÎvi Ici wbf©i K‡i, Gi Pvc ev AvqZ‡bi Ici wbf©i
K‡i bv| G‡K †gqv‡ii cÖKí ejv nq| ¯úóZ Pvc ev AvqZb
1. iæ×Zvcxq cÖmvi‡Y wm‡÷g kxZj nqÑ e¨vL¨v K‡iv|
[Xv. †ev. 23; P †ev. 19; Xv. †ev. 16] cwiewZ©Z n‡jI ZvcgvÎv hw` w¯’i _v‡K Z‡e M¨v‡mi
DËi: iƒ×Zvcxq cÖmvi‡Y wm‡÷‡gi Af¨šÍixY kw³ Z_v Af¨šÍixY kw³I w¯’i _vK‡e| ZvB m‡gvò cÖwµqvq Af¨šÍixY
ZvcgvÎv n«vm cvIqvq wm‡÷g kxZj nq| kw³i cwieZ©b k~b¨|
†h‡nZz iƒ×Zvcxq cÖwµqvq wm‡÷‡g †Kv‡bv Zvc cÖ‡ek Ki‡Z 6. mgAvqZb cÖwµqvq wm‡÷‡g cÖ`Ë Zvc m¤ú~Y©UvB
cv‡i bv ev wm‡÷g †_‡K †Kv‡bv Zvc †ei n‡q †h‡Z cv‡i bv f¨šÍixY kw³‡K e„wׇZ e¨eüZ nq| e¨vL¨v K‡iv| [g. †ev. 23]
myZvivs dQ = 01| AZGe, ZvcMwZwe`¨vi cÖ_g m~Î †_‡K DËi: †h cÖwµqvq wm‡÷‡gi AvqZ‡bi †Kv‡bv cwieZ©b nq bv
Avgiv cvB, 0 = dU + dW Zv‡K mgAvqZb cÖwµqv e‡j|
G‡ÿ‡Î dV = 0 nIqvq, dW = P.dV
dW = – dU
= P.0
iæ×Zvcxq cÖmvi‡Y wm‡÷g KZ…©K m¤úvw`Z KvR wm‡÷‡gi =0
Af¨šÍixY kw³ Øviv m¤úvw`Z nq e‡j wm‡÷‡gi Af¨šÍixY myZivs ZvcMwZwe`¨vi cÖ_g m~Î n‡Z †jLv hvq, dQ = dU
kw³ Z_v ZvcgvÎv n«vm cvq| ZvB iæ×Zvcxq cÖmvi‡Y wm‡÷g A_©vr wm‡÷‡g cÖ`Ë Zv‡ci m¤ú~Y©UvB Af¨šÍixY kw³ e„w×i
kxZj nq| Kv‡R e¨eüZ nq|
2. Mvwoi Uvqvi we‡ùvi‡Yi mgq Kx ai‡bi ZvcMZxq 7. mgAvqZb cÖwµqvq KvR k~b¨ †Kb? e¨vL¨v K‡iv|
cÖwµqv msNwUZ nq? e¨vL¨v K‡iv| [iv. †ev. 23] [Xv. †ev. 22; iv. †ev. 21]
DËi: Mvwoi Uvqvi we‡ùvi‡Yi mgq iƒ×Zvcxq cÖwµqv DËi: †h ZvcMZxq cÖwµqvq wm‡÷‡gi AvqZ‡bi †Kv‡bv
msNwUZ nq| cwieZ©b nq bv Zv‡K mgAvqZb cÖwµqv e‡j|
†h cÖwµqvq wm‡÷g Zvc MÖnY wKsev eR©b K‡i bv Zv‡K G‡ÿ‡Î, dV = 0 nIqvq, dW = P.dV
= P.0
iæ×Zvcxq cÖwµqv e‡j| Uvqvi we‡ùviY cÖwµqvwU LyeB `ªæZ,
=0
AvKw¯§Kfv‡e msNwUZ nIqvq Uvqv‡ii †fZ‡ii evB‡ii
AvqZb aªæeK _vKvq K…ZKvR k~b¨|
cwi‡e‡ki mv‡_ Zv‡ci Av`vb cÖ`vb Kivi ch©vß mgq cvq 8. iƒ×Zvcxq cÖmviY I ms‡KvP‡b AšÍt¯’ kw³i cwieZ©b
bv| A_©vr dQ = 0| myZivs cÖwµqvwU iƒ×Zvcxq| e¨vL¨v K‡iv| [h. †ev. 22]
3. M¨v‡mi †gvjvi Av‡cwÿK Zvc `yB cÖKvi †Kb? e¨vL¨v K‡iv| DËi: iƒ×Zvcxq cÖmvi‡Y wm‡÷g KZ…©K m¤úvw`Z KvR
[Kz. †ev. 23; h. †ev. 15]
wm‡÷‡gi Af¨šÍixY kw³ Øviv m¤úvw`Z nq e‡j wm‡÷‡gi
DËi: ZvcgvÎvi cwieZ©‡bi Rb¨ c`v‡_©i Pvc Ges AvqZ‡bi
Af¨šÍixY kw³ Z_v ZvcgvÎv n«vm cvq| ZvB iƒ×Zvcxq
cwieZ©b N‡U| KwVb I Zij c`v‡_©i Rb¨ GB cwieZ©b bMb¨ cÖmvi‡Y wm‡÷g kxZj nq|
nIqvq Zv D‡cÿv Kiv hvq| M¨v‡mi †ÿ‡Î ZvcgvÎv iƒ×Zvcxq ms‡KvP‡bi mgq evB‡i †_‡K kw³ mieivn K‡i
cwieZ©‡bi Rb¨ Pvc I AvqZ‡bi cwieZ©b A‡bK †ewk| ZvB wm‡÷‡gi Dci KvR m¤úvw`Z nq e‡j wm‡÷‡gi Af¨šÍixY
M¨v‡mi Av‡cwÿK Zv‡ci msÁv †`Iqvi mgq Pvc I kw³ e„w× cvq| d‡j wm‡÷‡gi ZvcgvÎvI e„„w× cvq A_©vr
AvqZ‡bi kZ© wbw`©ó K‡i †`Iqv cÖ‡qvRb| AvqZb w¯’i †i‡L wm‡÷g Dò nq|
wbw`©ó cwigvY M¨v‡mi ZvcgvÎv wbw`©ó cwigvY e„w× Ki‡Z †h 9. m‡gvò cwieZ©‡bi †ÿ‡Î M¨v‡mi Av‡cwÿK Zvc
cwigvY Zvc jv‡M, Pvc w¯’i †i‡L H wbw`©ó cwigvY M¨v‡mi e¨vL¨v K‡iv| [iv. †ev. 21]
ZvcgvÎv GKB cwigvY e„w× Ki‡Z wfbœ nq| ZvB M¨v‡mi Rb¨ DËi: †Kv‡bv M¨v‡mi GK G‡gv‡ji DòZv GK †Kjwfb e„w×
w¯’i Pv‡c Ges w¯’i AvqZ‡b `yB cÖKvi †gvjvi Av‡cwÿK Zvc Ki‡Z cÖ‡qvRbxq Zvc‡K H M¨v‡mi †gvjvi Av‡cwÿK Zvc
cvIqv hvq| e‡j|
4. iæ×Zvcxq ms‡KvP‡bi mgq wm‡÷‡gi Af¨šÍixY kw³ m †gvj M¨v‡mi ZvcgvÎv T †Kjwfb e„w× Ki‡Z Q Ryj
e„w× cvqÑ e¨vL¨v K‡iv| [h. †ev. 23; P. †ev. 23; Zvckw³ cÖ‡qvRb n‡j †gvjvi Av‡cwÿK Zvc, C = Q
wm. †ev. 22; w`. †ev. 23; iv. †ev. 17] mT
DËi: †h‡nZz iƒ×Zvcxq cÖwµqvq wm‡÷‡g †Kv‡bv Zvc cÖ‡ek wKš‘ m‡gvò cÖwµqvq ZvcgvÎv w¯’i _v‡K| ZvB T = 0
Ki‡Z cv‡i bv ev wm‡÷g †_‡K †Kv‡bv Zvc †ei n‡q †h‡Z C=
cv‡i bv myZivs dQ = 0| AZGe, ZvcMwZwe`¨vi cÖ_g m~Î m‡gvò cÖwµqvq M¨v‡mi Av‡cwÿK Zvc Amxg|
†_‡K Avgiv cvB, 0 = dU + dW 10. m‡gvò cÖwµqvq M¨vm Øviv m¤úvw`Z KvR mieivnK…Z
dW = – dU Zvckw³i mgvb nqÑ e¨vL¨v K‡iv|
iƒ×Zvcxq ms‡KvP‡bi mgq evB‡i †_‡K kw³ mieivn K‡i [h. †ev.21; P. †ev. 21; Xv. †ev. 19]
DËi: †h ZvcMZxq cÖwµqvq wm‡÷‡gi ZvcgvÎv w¯’i _v‡K
wm‡÷‡gi Dci KvR m¤úvw`Z nq e‡j wm‡÷‡gi Af¨šÍixY
Zv‡K m‡gvò cÖwµqv e‡j|
kw³ e„w× cvq| d‡j wm‡÷‡g ZvcgvÎvI e„w× cvq A_©vr
m‡gvò cÖwµqvq ZvcgvÎv w¯’i _v‡K e‡j wm‡÷‡gi Af¨šÍixY
wm‡÷g Dò nq| kw³i †Kv‡bv cwieZ©b nq bv| A_©vr, dU = 0
5. m‡gvò cÖwµqvq Af¨šÍixY kw³i cwieZ©b k~b¨ †Kb? myZivs ZvcMwZwe`¨vi cÖ_g m~Î †_‡K Avgiv cvB,
e¨vL¨v K‡iv| [e. †ev. 23] dQ = 0 + dW
DËi: m‡gvò cÖwµqvq wm‡÷‡gi ZvcgvÎv w¯’i _v‡K| dW = dQ
A‡bK cixÿv-wbixÿvi ci weÁvbx Ryj wm×v‡šÍ DcbxZ nb A_©vr m‡gvò cÖwµqvq †Kv‡bv wm‡÷g KZ…©K K…ZKvR wm‡÷‡g
†h, †Kv‡bv wbw`©ó cwigvY M¨v‡mi Af¨šÍixY kw³ ïay Gi mieivnK…Z Zvckw³i mgvb|
ZvcMwZwe`¨v Final Revision Batch 21
11. iƒ×Zvcxq cÖwµqvq cv‡Îi †`Iqvj Acwievnx ivLv nq Type-4: Zvcxq BwÄb I †iwd«Rv‡iUi
†Kb? e¨vL¨v K‡iv| [g. †ev. 21]
1. Zvc Drm I Zvc MÖvn‡Ki ZvcgvÎvi cv_©K¨ K‡g †M‡j
DËi: cwi‡e‡ki mv‡_ Zv‡ci Av`vb-cÖ`vb †iva Kivi Rb¨ Bwćbi `ÿZvI K‡g hvqÑ e¨vL¨v K‡iv| [wm. †ev. 23]
iæ×Zvcxq cÖwµqvq cv‡Îi †`Iqvj Acwievnx ivLv nq|
DËi: Zvc Bwćbi `ÿZv, = 1 – T2 100%
T
†h cÖwµqvq wm‡÷g †_‡K Zvc evB‡i hvq bv ev evB‡i †_‡K 1
†Kv‡bv Zvc wm‡÷‡g Av‡m bv Zv‡K iæ×Zvcxq cÖwµqv e‡j| T1 – T2
wm‡÷gwU‡K cwi‡ek †_‡K Zvcxqfv‡e AšÍwiZ K‡i A_ev = 100%
T1
M¨vm‡K `ªæZ cÖmvwiZ A_ev m¼zwPZ Ki‡j iæ×Zvcxq cÖwµqv †hLv‡b, T1 Zvc Dr‡mi ZvcgvÎv Ges T2 Zvc MÖvn‡Ki ZvcgvÎv|
cvIqv hvq| G cÖwµqvq wm‡÷‡gi †h cwieZ©b nq Zv‡K T1 – T2
iæ×Zvcxq cwieZ©b e‡j| wm‡÷g‡K Zvcxqfv‡e AšÍwiZ Zvc Bwćbi Kg©`ÿZv, Drm I MÖvn‡Ki mgvbycvwZK,
Kivi Rb¨ cv‡Îi †`Iqvj Acwievnx ivLv nq| ZvB, Zvc Drm I Zvc MÖvn‡Ki ZvcgvÎvi cv_©K¨ K‡g †M‡j
12. P-V †jLwP‡Î iæ×Zvcxq †iLv‡K mgGbUªwc †iLv ejv Bwćbi `ÿZvI K‡g hvq|
nq †Kb? [iv. †ev. 19] 2. Kv‡b©v Bwćbi wØZxq av‡c ZvcgvÎv n«vm cvq †Kbv?
DËi: Avgiv Rvwb, iæ×Zvcxq cÖwµqvq GbUªwc w¯’i _v‡K| [Kz. †ev. 22]
ZvB P-V †jLwP‡Î iæ×Zvcxq †iLvi me©Î GbUªwc mgvb DËi: Kv‡b©v Bwćbi wØZxq av‡c iƒ×Zvcxq cÖmviY NUvq
_v‡K| GKvi‡Y P-V †jLwP‡Î iæ×Zvcxq †iLv‡K mgGbUªwc ZvcgvÎv n«vm cvq| †h‡nZz iƒ×Zvcxq cÖwµqvq wm‡÷‡g
†iLv ejv nq| †Kv‡bv Zvc cÖ‡ek Ki‡Z cv‡i bv ev wm‡÷g †_‡K †Kv‡bv
13. ewW †¯úª e¨env‡ii mgq VvÐv Abyf~Z nq †Kb? e¨vL¨v Ki| Zvc †ei n‡q †h‡Z cv‡i bv myZivs dQ = 0| AZGe,
[w`. †ev. 19] ZvcMwZwe`¨vi cÖ_g m~Î †_‡K Avgiv cvB, 0 = dU + dW
DËi: ewW †¯úª e¨env‡ii mgq VvÐv Abyf~Z nq KviY hLb dW = – dU
†¯úª Kiv nq ZLb ewW †¯úª-Gi ivmvqwbK c`v_©¸‡jv Zij iƒ×Zvcxq cÖmvi‡Y wm‡÷g KZ…©K m¤úvw`Z KvR wm‡÷‡gi
_v‡K wKš‘ kix‡ii ms¯ú‡k© G‡m kixi †_‡K Zvc MÖnY K‡i
Af¨šÍixY kw³ Øviv m¤úvw`Z nq e‡j wm‡÷‡gi Af¨šÍixY
Zij ivmvqwbK c`v_©¸‡jv M¨v‡m cwiYZ nq ZvB ewW †¯úª
kw³ Z_v ZvcgvÎv n«vm cvq| ZvB iæ×Zvcxq cÖmvi‡Y wm‡÷g
e¨env‡ii mgq VvÐv Abyf~Z nq|
kxZj nq|
14. m‡gvò cÖwµqvq dW = dQ †Kb? e¨vL¨v Ki| [Xv. †ev. 19]
3. CV < CP †Kb? e¨vL¨v K‡iv| [P. †ev. 22; e. †ev. 19]
DËi: ZvcMwZwe`¨vi 1g m~Î Abymv‡i, dQ = dU + dW
DËi: hLb †Kv‡bv M¨v‡mi AvqZb w¯’i †i‡L DËß Kiv nq
m‡gvò cÖwµqvq wm‡÷‡gi ZvcgvÎv w¯’i _v‡K e‡j dU =
ZLb Gi Pvc ev‡o| G‡ÿ‡Î ZvcgvÎv evo‡bvi Rb¨ wKQz
nCvdT m¤úK© Abymv‡i dU = 0 A_©vr wm‡÷‡gi AšÍt¯’ kw³i
cwigvY Zv‡ci `iKvi nq| wKš‘ M¨vm‡K hw` DËß Kiv nq
†Kvb cwieZ©b nq bv| d‡j m¤úK©wU `uvovq dQ = dW|
Ges Pvc w¯’i †i‡L cÖmvwiZ n‡Z †`Iqv nq ZLb †h ïay
15. iæ×Zvcxq ms‡KvP‡b ZvcgvÎv e„w× cvq †Kb?
[wm. †ev. 15] ZvcgvÎv evov‡bvi Rb¨B Zvc cÖ‡qvRb nq Zv bq, cÖmviYkxj
DËi: iæ×Zvcxq ms‡KvP‡b M¨vm msKzwPZ nq| G ms‡KvP‡bi M¨vm †h evwn¨K Pv‡ci weiƒ‡× KvR K‡i Zvi Rb¨ wKQz
mgq evB‡i †_‡K kw³ mieivn K‡i wm‡÷‡gi Dci KvR AwZwi³ Zv‡ci cÖ‡qvRb nq|
m¤úvw`Z nq e‡j wm‡÷‡gi AšÍt¯’ kw³ e„w× cvq, d‡j myZivs Pvc w¯’i †i‡L 1 †gvj M¨v‡mi ZvcgvÎv 1 K evov‡Z
wm‡÷‡gi ZvcgvÎv e„w× cvq| G ms‡KvP‡b AšÍt¯’ kw³, †h Zvc jv‡M, Zv AvqZb w¯’i †i‡L 1 †gvj M¨v‡mi ZvcgvÎv
dW = – dU, KviY dQ = 0. 1 K evov‡Z cÖ‡qvRbxq Zv‡ci †P‡q †ewk nq| ZvB CP me©`v
16. Uvqvi dvU‡j VvÐv evZvm †ei nq †Kb? CV Gi †P‡q eo nq|
[†bvqvLvjx miKvwi gwnjv K‡jR, †bvqvLvjx] 4. Kv‡b©v Bwćbi Kvh©wbe©vnx e¯‘ cwieZ©b Ki‡j H Bwćbi
DËi: Uvqvi dvU‡j nVvr Pvc n«vm cvq ZvB Gi Af¨šÍixY `ÿZvi †Kv‡bviƒc cwieZ©b n‡e bv †Kb? e¨vL¨v K‡iv|
M¨v‡mi Lye `ªæZ m¤úªmviY N‡U| G Kvi‡Y D³ M¨vm [w`. †ev. 22]
DËi: Kv‡b©v Bwćbi `ÿZv, = 1 – T2 100%
cwi‡e‡ki mv‡_ Zv‡ci Av`vb-cÖ`vb Kivi Rb¨ h‡_ó mgq T
cvq bv| ZvB G cÖwµqvwU n‡jv iæ×Zvcxq| nVvr AvqZb 1
A‡bK †e‡o †M‡j AvqZb m¤úªmviYRwbZ KvR m¤úbœ nq| Bwćbi `ÿZvi mgxKiY n‡Z ¯úó †h, Kv‡b©v Bwćbi `ÿZv
GRb¨ †h kw³i cÖ‡qvRb nq Zv M¨v‡mi Af¨šÍixY kw³ n‡Z †Kej Drm Ges MÖvn‡Ki ZvcgvÎvi Ici wbf©i K‡i| ZvB
†kvwlZ nq| G Kvi‡Y Uvqvi dvU‡j VvÐv evZvm †ei nq| Drm I MÖvn‡Ki ZvcgvÎv w¯’i †i‡L Kvh©wbe©vnx e¯‘ cwieZ©b
17. DòZvwgwZK ag© I DòZvwgwZK c`v_© ej‡Z Kx †evS? Ki‡j Bwćbi `ÿZvi †Kv‡bv cwieZ©b n‡e bv|
DËi: DòZvwgwZK ag©: ZvcgvÎv cwigv‡c Dc‡hvMx c`v‡_©i 5. DòZvwgwZ c`v_© wn‡m‡e cvi` e¨envi myweavRbKÑ
†hme ag© Kv‡R jvMv‡bv nq, c`v‡_©i H ag©¸‡jv‡K e¨vL¨v K‡iv| [g. †ev. 22; w`. †ev. 21]
DòZvwgwZK ag© e‡j| †hgb: GKwU miæ KvP b‡ji g‡a¨ DËi: DòZvwgwZ c`v_© wn‡m‡e cvi` e¨env‡ii myweavÑ
Zij ¯Í‡¤¢i •`N©¨, w¯’i AvqZ‡bi M¨v‡mi Pvc e„w× ev w¯’i i. cvi` weï× Ae¯’vq cvIqv hvq|
Pv‡c M¨v‡mi AvqZb, cwievnx ev Aa©cwievnxi Zwor †iva ii. D¾¡j A¯^”Q c`v_© nIqvq mn‡RB KuvP b‡ji †fZi
BZ¨vw` DòZvwgwZK a‡g©i D`vniY| G‡K †`Lv hvq|
DòZvwgwZK c`v_©: †hme c`v‡_©i DòZvwgwZK ag© e¨envi K‡i iii. mvaviY ZvcgvÎvq cvi‡`i ev®úPvc Lye Kg| KuvPb‡ji g‡a¨
_v‡g©vwgUvi •Zwi Kiv nq Zv‡`i‡K DòZvwgwZK c`v_© e‡j| cvi‡`i Ic‡ii ¯’vb Aí cwigvY cvi`ev®ú aviY K‡i|
nd
22 HSC Physics 2 Paper Chapter-1
6. Kxfv‡e Bwćbi `ÿZv e„w× Kiv hvq? e¨vL¨v K‡iv| Type-5: GbUªwc
[g. †ev. 21]
1. RM‡Zi GbUªwc e„w× cv‡”Q| e¨vL¨v K‡iv| [Kz. †ev. 22]
DËi: Zvc Bwćbi `ÿZv, = 1 – T2 100%
T
DËi: cÖK…wZ‡Z mewKQzB mvg¨ve¯’v †c‡Z †Póv K‡i| GKwU
1
wm‡÷g hZB mvg¨ve¯’vi w`‡K GwM‡q hvq ZZB Zvi KvQ
T1 – T2
= 100% †_‡K KvR cvIqvi m¤¢vebv K‡g hvq, mvg¨ve¯’vq †cuŠQv‡j
T1
wm‡÷g †_‡K Avi †Kv‡bv KvRB cvIqv hv‡e bv| wm‡÷‡gi
†hLv‡b, T1 Zvc Dr‡mi Zvc Dr‡mi ZvcgvÎv Ges T2 Zvc
GB kw³i iƒcvšÍ‡ii AÿgZv ev Am¤¢ve¨ZvB n‡”Q GbUªwc|
MÖvn‡Ki ZvcgvÎv| GK ev GKvwaK wm‡÷g hZ mvg¨ve¯’vi w`‡K GwM‡q hvq
T2 Zv‡`i GbUªwcI ZZ evo‡Z _v‡K| mvg¨ve¯’v¨q GbUªwc
T1
AbycvZwU hZ †Qv‡Uv n‡e Bwćbi `ÿZv ZZ evo‡e|
me‡P‡q †ewk nq| A_©vr hLb †Kv‡bv wm‡÷g †_‡K Avi KvR
Zvc Dr‡mi ZvcgvÎv evov‡j Ges Zvc MÖvn‡Ki ZvcgvÎv cvIqv hvq bv ZLb Zvi GbUªwc nq me©vwaK| Avgiv Av‡MB
n«vm Ki‡j Bwćbi `ÿZv e„w× Kiv hvq| †`‡LwQ †h, mKj ¯^Ztù‚Z© cwieZ©b me©`v mvg¨v¯’vi w`‡K
7. Bwćbi Kg©`ÿZv I †iwd«Rv‡iU‡ii Kvh©m¤úv`K ¸Yv‡¼i cwiPvwjZ nq| myZivs mKj ¯^Ztù‚Z© cwieZ©‡b GbUªwc e„w×
g‡a¨ cv_©K¨ wbiƒcY Ki| [mKj †evW© 18] cvq| †h‡nZz cÖK…wZ‡Z mewKQzB mvg¨ve¯’v †c‡Z Pvq, ZvB
DËi: Bwćbi Kg©`ÿZv, ejv hvq †h, RM‡Zi GbUªwc µgvMZ evo‡Q|
2. wek¦RMr µ‡g µ‡g Zvcxq g„Zz¨i w`‡K GwM‡q P‡j‡QÑ
BwÄb Øviv Kv‡R iƒcvšÍwiZ Zvckw³
= e¨vL¨v K‡iv| [h. †ev. 22]
BwÄb Øviv †kvwlZ Zvckw³
DËi: cÖK…wZ‡Z mewKQzB mvg¨ve¯’v †c‡Z †Póv K‡i| GKwU
T1 – T2 T2
= =1– wm‡÷g hZB mvg¨ve¯’vi w`‡K GwM‡q hvq ZZB Zvi KvQ
T1 T1
†_‡K KvR cvIqvq m¤¢ebv K‡g hvq, mvg¨e¯’vq †cuŠQv‡j
Q T
†iwd«Rv‡iU‡ii Kvh©m¤úv`K ¸Yv¼, K = Q –2Q = T –2T wm‡÷g †_‡K Avi †Kv‡bv KvRB cvIqv hv‡e bv| wm‡÷‡gi
1 2 1 2
GB kw³i iƒcvšÍ‡ii AÿgZv ev Am¤¢ve¨ZvB n‡”Q GbUªwc|
Dc‡iv³ `ywU mgxKiY †_‡K GwU ¯úó †h Bwćbi Kg©`ÿZv
GK ev GKvwaK wm‡÷g hZ mvg¨ve¯’vi w`‡K GwM‡q hvq
1 Gi †P‡q †QvU †hLv‡b †iwd«Rv‡iU‡ii Kvh©m¤úv`K ¸Yv¼ 1 Zv‡`i GbUªwcI ZZ evo‡Z _v‡K| mvg¨ve¯’vq GbUªwc
Gi †P‡q eo| me‡P‡q †ewk nq| A_©vr hLb †Kv‡bv wm‡÷g †_‡K Avi KvR
8. Bwćbi `ÿZv KL‡bvB 100% n‡Z cv‡i bvÑ e¨vL¨v Ki| cvIqv hvq bv ZLb Zvi GbUªwc nq me©vwaK| Avgiv Av‡MB
[wm. †ev. 17] †`‡LwQ †h mKj ¯^Ztù‚Z© cwieZ©b me©`v mvg¨ve¯’vi w`‡K
DËi: Bwćb GKwU Zvc Drm I Zvc MÖvnK _v‡K| Zvc cwiPvwjZ nq| myZivs mKj ¯^Ztù‚Z© cwieZ©‡bB GbUªwc
Dr‡mi ZvcgvÎv T1 Zvc MÖvn‡Ki ZvcgvÎv T2 A‡cÿv †ewk e„w× cvq| †h‡nZz cÖK…wZ‡Z mewKQzB mvgve¯’v †c‡Z Pvq, ZvB
n‡jB †Kej Zv‡ci ¯’vbvšÍi m¤¢e nq| `ÿZvi m~Î n‡jv, (T1 ejv hvq †h, RM‡Zi GbUªwc µgvMZ evo‡Q| RM‡Zi GbUªwc
– T2) T1 100%| †h‡nZz mgxKi‡Y T1 > T1 – T2, hLb m‡e©v‡”P †cuŠQv‡e ZLb mewKQzi ZvcgvÎv GK n‡q
hv‡e| d‡j Zvckw³‡K Avi hvwš¿K kw³‡Z iƒcvšÍwiZ Kiv
†m‡nZz Bwćbi `ÿZv KL‡bv 100% n‡Z cv‡i bv|
hv‡e bv| GB Ae¯’v‡K RM‡Zi Z_vKw_Z Zvcxq g„Zz¨ (Heat
9. Zvc BwÄb I †iwd«Rv‡iUi-Gi Kvh©c×wZi g~j cv_©K¨ death of the universe) bv‡g AwfwnZ Kiv n‡q‡Q|
e¨vL¨v Ki| [Kz. †ev. 16] 3. AcÖZ¨vMvgx cÖwµqv GKwU GKgyLx cÖwµqv| e¨vL¨v K‡iv|
DËi: Zvc BwÄb I †iwd«Rv‡iUi-Gi Kvh©c×wZi g~j cv_©K¨ [e. †ev. 22]
n‡jv Zvc Bwćb D”P ZvcgvÎvi Drm n‡Z wb¤œ ZvcgvÎvi DËi: †h cÖwµqv wecixZgyLx n‡q cÖZ¨veZ©b Ki‡Z cv‡i bv
wms‡Ki w`‡K Zvc cÖevwnZ nq Ab¨w`‡K †iwd«Rv‡iU‡i wb¤œ A_©vr m¤§yLeZ©x I cðvrgyLx cÖwZ ¯Í‡i Zvc I Kv‡Ri djvdj
mgvb I wecixZ nq bv Zv‡K AcÖZ¨veZ©x cÖwµqv e‡j|
ZvcgvÎvi wmsK †_‡K Zvc D”P ZvcgvÎvi Dr‡mi w`‡K
cÖK…wZ‡Z ¯^Zù‚Z© cwieZ©b¸‡jvi me©`vB GKwU wbw`©ó w`‡K
cÖevwnZ nq| G‡Z Zvc Bwćb wm‡÷g Øviv KvR m¤úvw`Z nq
cwiPvwjZ nq| †hgbÑ Zvc D”PZvcgvÎv †_‡K wb¤œ
Aciw`‡K †iwd«Rv‡iU‡i wm‡÷‡gi Dci KvR m¤úvw`Z nq| ZvcgvÎvi w`‡K mÂvwjZ nq, GKwU Roe¯‘ my‡hvM †c‡jB
10. †c‡Uªvj BwÄb MÖx®§Kv‡ji Zzjbvq kxZKv‡j wKQzUv †ewk DuPz †_‡K wbPz‡Z co‡Z _v‡K, A_©vr wefekw³ n«vm cvq|
Kvh©KiÑ Kv‡Y©v Bwćbi bxwZi Av‡jv‡K e¨vL¨v Ki| cÖK…wZ Gme NUbv KL‡bB ¯^vfvweKfv‡e wecixZ w`‡K
[Ave`yj Kvw`i †gvjøv wmwU K‡jR, biwms`x] cÖZ¨veZ©b K‡i Avw` Ae¯’vq hvq bv| cÖK…wZi mKj ¯^Ztù‚Z©
DËi: Avgiv Rvwb, Kv‡b©v Bwćbi `ÿZv, = 1 – T2 100%
T cwieZ©bB GKgyLx Ges AcÖZ¨veZ©x| A_©vr AcÖZ¨vMvgx
1 cÖwµqv¸‡jv GKgyLx|
Dc‡iv³ m¤úK© Abymv‡i, T2 hZ Kg n‡e Bwćbi `ÿZv ZZ 4. ÒGbUªwci cwieZ©b me©`v abvZ¥KÓÑ e¨vL¨v K‡iv|
e„w× cv‡e| kxZKv‡j cwi‡ek Z_v ZvcMÖvn‡Ki ZvcgvÎv [wm. †ev. 22]
MÖx®§Kvj A‡cÿv n«vm cvq ZvB Dc‡iv³ m¤úK© Abymv‡i DËi: aiv hvK, `y wU e¯‘ cwi‡ek †_‡K m¤ú~ Y© wew”Qbœ Ae¯’vq
ci¯ú‡ii ms¯ú‡k© Av‡Q| e¯‘ `ywUi ZvcgvÎv h_vµ‡g T1 I
Bwćbi `ÿZv e„w× cvq| AZGe, Kv‡b©v Bwćbi bxwZ
T2| hw` T1 > T2 nq Zvn‡j DËß e¯‘ †_‡K kxZj e¯‘‡Z
Abymv‡i GwU ¯úó, †c‡Uªvj BwÄb MÖx®§Kv‡ji Zzjbvq Zvc mÂvwjZ n‡e| aiv hvK Lye Aí mg‡qi g‡a¨ dQ
kxZKv‡j wKQzUv †ewk Kvh©Ki| cwigvY Zvc DËß e¯‘ n‡Z kxZj e¯‘‡Z mÂvwjZ n‡jv|
ZvcMwZwe`¨v Final Revision Batch 23
dQ mKj ¯^Ztù‚Z© cwieZ©b me©`v mvg¨ve¯’vi w`‡K cwiPvwjZ
myZivs – T = DËß e¯‘i GbUªwc n«vm
1 nq| myZivs mKj ¯^Ztù‚Z© cwieZ©‡bB GbUªwc e„w× cvq|
dQ †h‡nZz cÖK…wZ‡Z mewKQzB mvg¨ve¯’v †c‡Z Pvq, ZvB RM‡Zi
Ges T = kxZj e¯‘i GbUªwc e„w×
2
GbUªwc µgvMZ evo‡Q| RM‡Zi GbUªwc hLb m‡e©v‡”P
dQ dQ
S = – + †cuŠQv‡e ZLb mewKQzi ZvcgvÎv GK n‡q hv‡e| d‡j
T1 T2
Zvckw³‡K Avi hvwš¿Kkw³‡Z iƒcvšÍwiZ Kiv hv‡e bv| G
T1 > T2 nIqvq S > 0
Ae¯’v‡K RM‡Zi Z_vKw_Z Zvcxq g„Zz¨ (Heat death of the
A_©vr GbUªwci cwieZ©b me©`v abvZ¥K|
universe) bv‡g AwfwnZ Kiv n‡q‡Q|
5. cÖK…wZ‡Z ¯^vfvweK wbq‡g msNwUZ mKj ZvcMZxq
8. iæ×Zvcxq cÖwµqv GKwU mgGbUªwc cÖwµqvÑ e¨vL¨v Ki|
AcÖZ¨veZ©x cÖwµqvÑ e¨vL¨v K‡iv| [Kz. †ev. 21] [h. †ev. 19; e. †ev. 21]
DËi: †h cÖwµqv wecixZgyLx n‡q cÖZ¨veZ©b Ki‡Z cv‡i bv dQ
DËi: Avgiv Rvwb, GbUªwci cwieZ©b, dS = T
A_©vr m¤§yLeZ©x I wecixZgyLx cÖwZ ¯Í‡i Zvc I Kv‡Ri djvdj
mgvb I wecixZ nq bv Zv‡K AcÖZ¨veZ©x cÖwµqv e‡j| iæ×Zvcxq cÖwµqvq, dQ = 0
cÖK…wZ‡Z †h mg¯Í cwieZ©b ev iƒcvšÍi AvcbvAvcwb N‡U 0
dS = = 0 A_©vr iæ×Zvcxq cÖwµqvq GbUªwci cwieZ©b k~b¨|
T
†m¸‡jv‡K ejv ¯^Ztù‚Z© cwieZ©b| ¯^Ztù‚Z© cwieZ©b¸‡jv‡Z
GbUªwc n‡”Q wek„•Ljvi cwigvc| Zvc MÖn‡Y GB wek„•Ljv
†`Lv hvq †h, G¸‡jv me©`vB GKUv wbw`©ó w`‡K cwiPvwjZ
e„w× cvq, Zvc eR©‡b wek„•Ljv n«vm cvq| iæ×Zvcxq cÖwµqvq
nq| †hgbÑ Zvc D”PZi ZvcgvÎv †_‡K wb¤œZi ZvcgvÎvi
†h‡nZz wm‡÷‡g Zv‡ci Av`vb-cÖ`vb nq bv ZvB wm‡÷‡gi
w`‡K mÂvwjZ nq| GKwU Roe¯‘ my‡hvM †c‡jB DuPz †_‡K wek„•LjviI †Kv‡bv cwieZ©b nq bv Z_v GbUªwci cwieZ©b nq
wbPz‡Z co‡Z _v‡K, A_©vr wefe kw³ n«vm cvq| cÖK…wZ‡Z bv| A_©vr iæ×Zvcxq cÖwµqv GKwU mgGbUªwc cÖwµqv|
Gme NUbv KL‡bv ¯^vfvweKfv‡e wecixZ w`‡K cÖZ¨veZ©b K‡i 9. Kv‡b©v BwÄb‡K cÖZ¨vMvgx BwÄb ejv nq †Kb? [Kz. †ev. 19]
Avw` Ae¯’vq hvq bv| wb¤œ ZvcgvÎv †_‡K Zvc †¯^”Qvq D”P DËi: †Kv‡bv Pµ cÖZ¨vvMvgx n‡Z †M‡j †hme •ewkó¨ _vKv
ZvcgvÎvq hvq bv| A_©vr cÖK…wZ‡Z mKj ¯^Ztù‚Z© cwieZ©bB cÖ‡qvRb Kv‡b©vi Av`k© Bwćb †m¸‡jv i‡q‡Q| †hgbÑ
GKgyLx Ges AcÖZ¨veZ©x| 1. wc÷b I †PvO ev wmwjÛv‡ii g‡a¨ †Kv‡bv Nl©Y †bB|
6. RM‡Zi Zvcxq g„Zz¨i Rb¨ `vqx GbUªwcÑ e¨vL¨v K‡iv| 2. Kvh©Kix c`v_© (M¨vm)-Gi Dci cÖhy³ cÖwµqv¸‡jv Lye
[wm. †ev. 21] ax‡i ax‡i msNwUZ nq|
DËi: cÖK…wZ‡Z mewKQzB mvg¨ve¯’v †c‡Z †Póv K‡i| GKwU 3. wc÷b I wmwjÛvi wbg©v‡Y Av`k© Zvc wb‡ivaK ev AšÍiK
wm‡÷g hZB mvg¨v¯’vi w`‡K GwM‡q hvq ZZB Zvi KvQ I Av`k© Zvc cwievnx e¨envi Kiv nq Ges Zvc Drm I
†_‡K cvIqvi m¤¢vebv K‡g hvq, mvg¨ve¯’vq †cuŠQ‡j wm‡÷g Zvc MÖvn‡Ki Dcv`vb Ggb AwZ D”P Zvc MÖnxZv hy³ Kiv
†_‡K Avi †Kv‡bv KvRB cvIqv hv‡e bv| wm‡÷‡gi G nq †h m‡gvò cÖwµqv¸‡jv w¯’i ZvcgvÎvq msNwUZ nq|
kw³i iƒcvšÍ‡i AÿgZv ev Am¤¢ve¨ZvB n‡”Q GbUªwc| 10. †Kv‡bv wm‡÷‡gi wek„•Ljvi m~PK cwigvc‡Ki ivwk
mvg¨ve¯’vq GbUªwc me‡P‡q †ewk nq| mKj ¯^Ztù‚Z© GbUªwcÑ e¨vL¨v Ki| [iv. †ev. 16]
cwieZ©b me©`v mvg¨ve¯’vi w`‡K cwiPvwjZ nq| myZivs DËi: iæ×Zvcxq cÖwµqvq e¯‘i †h Zvcxq ag© w¯’i _v‡K Zv‡K
mKj ¯^Ztù‚Z© cwieZ©‡bB GbUªwc e„w× cvq| †h‡nZz GbUªwc e‡j| Avevi †Kv‡bv wm‡÷‡gi wek„•Ljvi m~PK
cÖK…wZ‡Z mewKQzB mvg¨ve¯’v †c‡Z Pvq, ZvB RM‡Zi GbUªwc cwigvcK‡KI GbUªwc e‡j| †hgb, cÖK…wZ‡Z †eu‡P _vKvi
µgvMZ evo‡Q| RM‡Zi GbUªwc hLb m‡e©v‡”P †cuŠQv‡e Rb¨ hZUzKz Aw·‡Rb `iKvi Zvi Zzjbvq Kg ev †ewk _vK‡j
ZLb mewKQzi ZvcgvÎv GK n‡q hv‡e| d‡j Zvckw³‡K Avgv‡`i k¦vm-cÖk¦vm wb‡Z Kó n‡e| G‡ÿ‡Î †h wek„•Ljv e„w×
Avi hvwš¿Kkw³‡Z iƒcvšÍwiZ Kiv hv‡e bv| G Ae¯’v‡K cv‡e †mwUB GbUªwci gva¨‡g wnmve Kiv nq|
RM‡Zi Z_vKw_Z Zvcxq g„Zz¨ (Heat death of the 11. GKwU cÖZ¨vMvgx cÖwµqvi GbUªwc †Kb aªæeK/GbUªwc w¯’i
universe) bv‡g AwfwnZ Kiv n‡q‡Q| ZvB ejv hvq _v‡K bvwK e„w× cvq? [nwj µm K‡jR, XvKv]
RM‡Zi Zvcxq g„Zz¨i Rb¨ `vqx GbUªwc| DËi: g‡b Kwi, GKwU cÖZ¨veZ©x Kv‡b©v BwÄb T1 ZvcgvÎvq
7. RM‡Zi Zvcxq g„Zz¨i KviY Zvcxq mvg¨ve¯’vÑ e¨vL¨v K‡iv| Zvc Drm n‡Z Q1 cwigvY Zvc MÖnY Kij Ges T2
[w`. †ev. 21] ZvcgvÎvq Zvc MÖvn‡K Q2 cwigvY Zv eR©b Kij|
DËi: cÖK…wZ‡Z mewKQzB mvg¨ve¯’v †c‡Z †Póv K‡i| GKwU Zvn‡j GbUªwci †gvU cwieZ©b,
wm‡÷g hZB mvg¨ve¯’vi w`‡K GwM‡q hvq ZZB Zvi KvQ Q1 –Q2 Q1 Q2
S = S1 + S2 = + = –
T1 T2 T1 T2
†_‡K KvR cvIqv m¤¢vebv K‡g hvq, mvg¨ve¯’vq †cuŠQv‡j
Q Q
wm‡÷g †_‡K Zvi Avi †Kv‡bv KvRB cvIqv hv‡e bv| wKš‘ cÖZ¨veZ©x Kv‡b©v Bwćbi †ÿ‡Î, T 1 = T 2
1 2
wm‡÷‡gi G kw³i iƒcvšÍ‡ii AÿgZv ev Am¤¢ve¨ZvB n‡”Q Q1 Q2
wm‡÷‡gi GbUªwci †bU cwieZ©b, S = – =0
GbUªwc| mvg¨ve¯’vq GbUªwc me‡P‡q †ewk nq| A_©vr hLb T1 T2
†Kv‡bv wm‡÷g †_‡K Avi KvR cvIqv hvq bv ZLb Zvi A_©vr cÖZ¨veZ©x cÖwµqvq wm‡÷g Avw` Ae¯’vq wd‡i Av‡m e‡j
GbUªwc nq me©vwaK| G‡ÿ‡Î GbUªwci cwieZ©b k~b¨ nq Ges GbUªwc w¯’i _v‡K|
nd
24 HSC Physics 2 Paper Chapter-1
12. GKB ZvcgvÎvq `ywU wm‡÷‡gi GbUªwc Kxfv‡e wfbœ n‡Z
Topicwise MCQ
cv‡i Zv e¨vL¨v Ki| [XvKv K‡jR, XvKv]
dQ ZvcgvÎv
DËi: Avgiv Rvwb, GbUªwc, dS = T | Dc‡iv³ m¤úK©
1. dv‡ibnvBU †¯‥‡ji †Kvb ZvcgvÎv †mjwmqvm †¯‥‡ji
†_‡K †`Lv hvq, ZvcgvÎv GK n‡jI hw` M„wnZ ev ewR©Z Zvc
cv‡Vi wظY nq? [e. †ev. 23]
wfbœ nq Z‡e GbUªwci cwieZ©b wfbœ n‡e| AZGe GKB
12.31 22.15
ZvcgvÎvi `ywU wm‡÷‡g Zv‡ci cwieZ©b wfbœ nIqvi Kvi‡Y 160.00 288.00
Zv‡`i GbUªwc wfbœ n‡Z cv‡i| DËi: Blank
13. RM‡Zi Zvcxq g„Zz¨ ej‡Z wK eyS? T – 32 T
DËi: RM‡Z GbUªwc hLb m‡e©v‡”P †cuŠQv‡e ZLb me wKQzi e¨vL¨v: F 9 = 5C
ZvcgvÎv GK n‡q hv‡e| d‡j Zvckw³‡K Avi hvwš¿K TF
kw³‡Z iƒcvšÍwiZ Kiv hv‡e bv| GB Ae¯’v‡K weÁvbx jW© TF – 32 2a
=
9 5
†Kjwfb RM‡Zi Zvcxq g„Zz¨ bv‡g AwfwnZ K‡i‡Qb|
9
14. c„w_exi GbUªwc w`b w`b e„w× cv‡”QÑ e¨vLv Ki| TF – 32 = TF
10
DËi: Avgiv Rvwb, AcÖZ¨vMvgx cÖwµqvq GbUªwc e„w× cvq| TF = 320
wek¦RM‡Zi AwaKvsk cÖwµqvB AcÖZ¨vMvgx cÖwµqv| myZivs 2. _v‡g©vwgwZi g~j mgxKiY wb‡Pi †KvbwU? [P. †ev. 22]
wek¦RM‡Zi GbUªwc µgvMZ e„w× cv‡”Q| Gfv‡e GbUªwc e„w× N X – Xice
=
†c‡Z †c‡Z hLb m‡e©v”P gv‡b †cuŠQv‡e ZLb we‡k¦i mKj – ice Xsteam – Xice
e¨e¯’v Zvcxq mvg¨ve¯’vq DcbxZ n‡e| Zvcxq mvg¨ve¯’vq – ice X – Xice
=
N Xsteam – Xice
†cuŠQ‡j Zvckw³‡K djcÖmy Kv‡R cwiYZ Kiv m¤¢e n‡e bv|
N Xsteam – Xice
d‡j Kvh©Kix kw³i `y®úÖvc¨Zv m„wó n‡e| Ggbfv‡e Pj‡Z – ice
=
X – Xice
_vK‡j c„w_ex Ggb GKwU fqven Ae¯’vq †cuŠQv‡e †h Zvc – ice Xsteam – Xice
kw³ mieiv‡n Aÿg n‡q co‡e| =
N X – Xice
15. Zv‡ci cwienb AcÖZ¨veZ©x cÖwµqv †Kb? e¨vL¨v Ki| – ice X – Xice
DËi: =
Xsteam – Xice
DËi: Zvc me©`v D”P ZvcgvÎvi e¯‘ †_‡K wb¤œ ZvcgvÎvi N
e¯‘‡Z mÂvwjZ nq| wKš‘ wb¤œ ZvcgvÎvi e¯‘ †_‡K Zvc D”P 3. 98.6F ZvcgvÎvi mgZzj¨ _v‡g©vWvqbvwgK ZvcgvÎv
ZvcgvÎvi e¯‘‡Z KLbI mÂvwjZ nq bv| GRb¨ Zv‡ci KZ? [P. †ev. 21; g. †ev. 21]
cwienb AcÖZ¨veZ©x cÖwµqv| 310.16 K 345.16 K
393.16 K 408.16 K
16. GK Møvm cvwb‡Z GK UzKiv eid ivLv n‡j Zv
DËi: 310.16 K
¯^Ztù~Z©fv‡e cvwb‡Z cwiYZ nq †Kb e¨vL¨v Ki| K – 273.16 F – 32
[miKvwi cvBIwbqvi gwnjv K‡jR, wm‡jU] e¨vL¨v: 5
=
9
DËi: ZvcMwZwe`¨vi 2q m~Î n‡Z Avgiv Rvwb, Ggb †Kv‡bv K – 273.16 98.6 – 32
wm‡÷g cvIqv m¤¢e bq, hv ¯^Ztù~Z©fv‡e wb¤œ DòZvi e¯‘ =
5 9
n‡Z D”PZi DòZvi e¯‘‡Z Zvc mÂvwjZ K‡i A_©vr me©`v = 7.4
D”PZi DòZvi e¯‘ n‡Z wb¤œZi DòZvi e¯‘‡Z Zvc mÂvwjZ K = 310.16 K
nq| ZvB GK Møvm cvwb‡Z GK UzKiv eid ivL‡j Zv 4. †Kjwfb †¯‥‡j eid we›`y †KvbwU? [h. †ev. 19]
0 C 0K
¯^Ztù~Z©fv‡e cvwb‡Z cwiYZ nq|
273 C 273 K
DËi: 273 K
Type-6: Mixed Concept
5. 5C ZvcgvÎvi Rb¨ dv‡ibnvBU †¯‥‡j gvb KZ?
1. `yBwU eidLÐ GKwUi Ici AciwU †P‡c ai‡j Zv [Xv. †ev. 19]
41 F 37 F
GKwU L‡Ð cwiYZ nq †Kb? [h. †ev. 21]
9 F 2.78 F
DËi: Pvc e„wׇZ ei‡di Mjbv¼ K‡g hvIqvq `yBwU eid LÐ
DËi: 41 F
GKwU‡Z cwiYZ nq| KwVb n‡Z Zi‡j iƒcvšÍ‡ii mgq †hme F – 32 C
c`v‡_©i AvqZb n«vm cvq, Pvc evo‡j H mKj c`v‡_©i e¨vL¨v: 9 = 5
Mjbv¼ K‡g hvq| ZvB `yBwU eidLÐ GKwUi Ici AciwU F – 32 5
=
†P‡c ai‡j ei‡di †hLv‡b Pvc c‡o‡Q †mLv‡b Mjbv¼ K‡g 9 5
hvq| ZvB ei‡di ZvcgvÎv‡ZB †mLvbKvi eid M‡j hvq| F = 41F
Pvc mwi‡q wb‡j Mjbv¼ Avevi c~‡e©i gvb wd‡i cvq| ZLb 6. cvwbi •Îa we›`y‡Z Pvc KZ? [h. †ev. 17]
64.58 mm water 64.58 cm water
M‡j hvIqv cvwb ei‡d iƒcvšÍwiZ n‡q GKwU eid L‡Ð
4.58 cm Hg 4.58 mm Hg
cwiYZ nq| DËi: 4.58 mm Hg
ZvcMwZwe`¨v Final Revision Batch 25
7. GK w¯’iwe›`y c×wZ‡Z ZvcgvÎv cwigv‡ci g~jbxwZ ZvcMwZwe`¨vi k~b¨Zg m~Î
e¨eüZ nq wb‡¤œi †Kvb †¯‥‡j? [iv. †ev. 15]
†mjwmqvm †ivgvi 14. Zv‡ci hvwš¿K mgZvi GKK n‡jvÑ
[w`. †ev. 23; g. †ev. 22; mw¤§wjZ †ev. 18]
†Kjwfb dv‡ibnvBU
K¨vjwi/MÖvg Ryj/K¨vjwi
DËi: †Kjwfb
Ryj K¨vjwi/Ryj
8. †Kvb ZvcgvÎvq †mjwmqvm I dv‡ibnvBU †¯‥‡j GKB
gvb cvIqv hvq? [w`. †ev. 15]
DËi: Ryj/K¨vjwi
15. _v‡g©vwgUvi Gi aviYv cvIqv hvq ZvcMwZwe`¨vi †Kvb
– 40 100
287.13 574.25 m~Î n‡Z? [h. †ev. 21; e. †ev. 17; P. †ev. 17; h. †ev. 15]
DËi: – 40 k~b¨Zg cÖ_g
TF – 32 TC wØZxq Z…Zxq
e¨vL¨v: 9 =
5 DËi: k~b¨Zg
T – 32 T 16. wP‡Î wZbwU eø‡Ki ZvcgvÎv h_vµ‡g 1C, 2C,
= [∵ TF = TC = T]
9 5 3C hviv ci¯ú‡ii mv‡_ Zvcxq ms¯ú‡k© Av‡Q|
9 [wm. †ev. 16]
T – 32 = T
5 1C 2C 3C
T = – 40 eøK-1 eøK-2 eøK-3
9. wewKiY cvB‡ivwgUv‡i DËß e¯‘i wewKiY ag© Kv‡R
†Kvb ZvcgvÎv Zvcxq mvg¨ve¯’v wb‡`©k K‡i?
jvwM‡q †Kvb cwim‡ii ZvcgvÎv cwigvc Kiv nq?
1C 2C 3C
500C Gi †ewk 3000C Gi †ewk
5 10 5
1000C Gi †ewk 5000C Gi †ewk
10 5 10
DËi: 500C Gi †ewk
15 15 15
10. †h ZvcgvÎvq cÖgvY Pv‡c weï× eid Mj‡Z ïiæ K‡i
20 15 15
Zv‡K ejv nqÑ
EaŸ© w¯’i we›`y wb¤œ w¯’i we›`y DËi: 15 15 15
w÷g we›`y •Îa we›`y 17. wZbwU e¯‘ Zvcxq mvg¨ve¯’ v q _vK‡j Zv‡`i wb‡Pi †Kvb
DËi: wb¤œ w¯’i we›`y ivwkwU GKB n‡e? [P. †ev. 15]
11. cvwbi •Îa we›`yi ZvcgvÎv KZ? fi wefekw³
A_ev, cvwbi •Îawe›`yi ZvcgvÎv aiv nqÑ AšÍt¯’ kw³ ZvcgvÎv
273.16 K 273.15C DËi: ZvcgvÎv
273 K 100 K
DËi: 273.16 K ZvcMZxq wm‡÷g
12. GKwU ÎæwUc~Y© _v‡g©vwgUv‡ii eid we›`y 5C Ges w÷g
we›`y 115C| †Kvb e¯‘i cÖK…Z ZvcgvÎv 40C n‡j, H 18. GKwU Mvwo Pj‡Z _vK‡j Gi Uvqv‡ii wfZi †Kvb
_v‡g©vwgUv‡i e¯‘wUi ZvcgvÎv KZ cÖ`k©b Ki‡e? ZvcMZxq cÖwµqv P‡j? [wm. †ev. 23]
49 C 94 C m‡gvò iæ×Zvcxq
45 C 54 C mgAvqZb mgPvcxq
DËi: 49 C DËi: mgAvqZb
C–0 S–M 19. Db¥y³ wm‡÷‡g wm‡÷g I cwi‡e‡ki g‡a¨ Av`vb-cÖ`vb
e¨vL¨v: 100 – 0 = B – M
nq †KvbwU? [iv. †ev. 22]
40 S–M fi I fi‡eM fi‡eM I kw³
=
100 115 – 5 fi I kw³ fi I Pvc
S – 5 = 44
DËi: fi I kw³
S = 49C
20. †Kvb wew”Qbœ e¨e¯’vi P~ovšÍ AwePj Ae¯’v‡K Kx e‡j?
13. †mjwmqvm †¯‥‡j 1 ZvcgvÎv e„w× †c‡j dv‡ibnvBU
†¯‥‡j KZ wWMÖx e„w× cv‡e? ZvcMZxq mvg¨ve¯’v cvwicvwk¦©K Ae¯’v
8 F 1.5 F ZvcMZxq cÖwµqv ZvcMKxq w¯’wZkxjZv
2.5 F 2 F DËi: ZvcMZxq mvg¨ve¯’ v
DËi: Blank 21. wb‡¤œi †KvbwU ZvcMZxq cwieZ©b bq? [†g. f. c. 03-04]
– 32 m‡gvò cwieZ©b mgAvqZb cwieZ©b
e¨vL¨v: F 9 = 5C mgPvc cwieZ©b mgag©x cwieZ©b
5
C = (F – 32)
DËi: mgag© x cwieZ© b
9 22. ZvcMwZwe`¨vi †Kvb cÖwµqvq M¨v‡mi Dci †Kv‡bv KvR
5 nq bv?
C = {(F2 – 32) – (F1 – 32)} [iv. †ev. 21]
9
m‡gvò mg-AvqZb
5
1 = F mgPvcxq iæ× Zvcxq
9
F = 1.8F DËi: mg-AvqZb
nd
26 HSC Physics 2
Paper Chapter-1
ZvcMwZwe`¨vi cÖ_g m~Î 31. wb‡Pi †Kvb †jLwPÎwU P V Gi cwieZ©b wb‡`©k K‡i?
[Xv. †ev. 16]
23. †Kv‡bv e¨e¯’v cwi‡ek †_‡K 50 Ryj Zvckw³ †kvlY P P
K‡i Ges cwi‡e‡ki Dci 20 Ryj KvR m¤úv`b K‡i|
G‡Z e¨e¯’vi AšÍt¯’ kw³i cwieZ©b KZ? [Kz. †ev. 22] O O
V V
20 Ryj 30 Ryj P P
50 Ryj 70 Ryj
DËi: 30 Ryj
O
e¨vL¨v: dQ = dU + dW V V
P
50 = dU + 20
dU = 30 J DËi:
24. †Kv‡bv wm‡÷g KZ…©K K…ZKvR k~b¨-Gi A_©Ñ [h. †ev. 22]
V
Pvc w¯’i wKš‘ AvqZb e„w× cvq 32. m‡gvò †iLv †KvbwU? [Xv. †ev. 15]
Pvi w¯’i wKš‘ AvqZb K‡g hvq
AvqZb w¯’i wKš‘ Pvc e„w× cvq P P
Pvc, AvqZb Ges ZvcgvÎv e„w× cvq
V V
DËi: AvqZb w¯’i wKš‘ Pvc e„w× cvq
25. ZvcMwZwe`¨vi 1g I 2q m~‡Îi mgwš^Z iƒcÑ [e. †ev. 21]
P P
dU = TdS + PdV dU = TdS – PdV
dU = VdP + TdS dU = VdP + TdS V V
DËi: dU = TdS – PdV
26. T1 I T2 ZvcgvÎvi `ywU e¯‘i Af¨šÍixY kw³ h_vµ‡g DËi: P
U1 I U2, T1 > T2| wew”Qbœ wm‡÷‡g e¯‘Øq Zvcxq
V
mvg¨ve¯’vq Avm‡j wb‡Pi †KvbwU N‡U? [wm. †ev. 21] e¨vL¨v: m‡gv cÖwµqvq,
U1 e„w× U2 n«vm U1 n«vm U2 e„w× PV = K
hv, xy = C Gi Abyiƒc
U1 e„w× U2 e„w× U1 n«vm U2 n«vm
A_©vr Gi †jL Awae„ËvKvi|
DËi: U1 n«vm U2 e„w× 33. M¨vm KZ…©K K…ZKvR m¤úbœ n‡j wb‡Pi †KvbwU cÖ‡hvR¨ n‡e?
27. ZvcMwZwe`¨vq cÖ_g m~Î m¤úK© ¯’vcb K‡iÑ [P. †ev. 15]
[h. †ev. 21; wm. †ev. 15]
AvqZb e„ w× cvq AvqZb n« v m cvq
fi e„w× cvq fi n«vm cvq
Zvc I Pvc Gi g‡a¨ Zvc I ej Gi g‡a¨ DËi: AvqZb e„w× cvq
Zvc I KvR Gi g‡a¨ Zvc I ÿgZv Gi g‡a¨ 34. GKK Zvc Drcbœ Ki‡Z †h cwigvY KvR Ki‡Z nq
DËi: Zvc I KvR Gi g‡a¨ Zv‡K Kx e‡j?
28. ZvcMwZwe`¨vi cÖ_g m~‡Îi Ry‡ji wee„wZ †Kvb ZvcMZxq Zv‡ci hvwš¿K mgZv Kv‡Ri hvwš¿K Zzj¨v¼
K¬wmqv‡mi aªæeK Kv‡b©v Zzj¨v¼
cÖwµqviB GKwU we‡kl iƒc? [iv. †ev. 19]
DËi: Zv‡ci hvwš¿K mgZv
m‡gvò iæ×Zvcxq Af¨šÍixY kw³
mgPvc mgAvqZb 35. †Kvb wbw`©ó cwigvY M¨v‡mi Af¨šÍixY kw³ †Kej wbf©i
DËi: m‡gvò K‡i GiÑ [Xv. †ev. 23]
29. ZvcMwZwe`¨vi cÖ_g m~‡Îi MvwYwZK iƒc †KvbwU? ZvcgvÎvi Dci Pv‡ci Dci
[Xv. †ev. 17] AvqZ‡bi Dci G›Uªwci Dci
Q = U + W W = Q + U DËi: ZvcgvÎvi Dci
36. †Kvb e¨e¯’v cwi‡ek †_‡K 1500 Ryj Zvc †kvlY K‡i
Q = W – U W = Q – U
Ges e¨e¯’vi Dci 300 Ryj KvR m¤úvw`Z nq|
DËi: Q = U + W e¨e¯’vwUi Af¨šÍixY kw³i cwieZ©b KZ?
30. ZvcMwZwe`¨vi cÖ_g m~Î wb‡Pi †KvbwUi msiÿYkxjZv [h. †ev. 21; wm. †ev. 19; Kz. †ev. 17; w`. †ev. 16]
1200 Ryj –1200 Ryj
wb‡`©k K‡i? [P. †ev. 16] 1800 Ryj –1800 Ryj
kw³ Pvc DËi: 1800 Ryj
PvR© fi e¨vL¨v: dQ = dU + dW
DËi: kw³ 1500 = dU – 300
dU = 1800 J
ZvcMwZwe`¨v Final Revision Batch 27
37. Zvc AšÍiK AveiYhy³ `„p cv‡Î GKwU Av`k© M¨v‡m 44. PV = aªæeK, mgxKiYwU †Kvb cÖwµqv‡K mg_©b K‡i?
k~b¨ gva¨‡g cÖmviY Kiv n‡jv| d‡j wb‡¤œi †KvbwU [Xv. †ev. 19]
NU‡e? [P. †ev. 21] m‡gvò mgAvqZb
AšÍt¯’ kw³i cwieZ©b n‡e bv mgPvc iæ×Zvc
ZvcgvÎv n«vm cv‡e DËi: m‡gvò
Pv‡ci †Kv‡bv cwieZ©b n‡e bv 45. m‡gvò cÖwµqvq wm‡÷‡gi †Kvb ivwkwU w¯’i _v‡K?
`kvi cwieZ©b n‡e [w`. †ev. 16]
DËi: ZvcgvÎv n«vm cv‡e AvqZb Zvc
38. Af¨šÍixY kw³ wb‡Pi †Kvb `ywU kw³i mgwó? ZvcgvÎv Pvc
Zvcxqkw³ I MwZkw³ DËi: ZvcgvÎv
AvšÍtAvYweK e‡ji Kvi‡Y m„ó kw³ I w¯’wZkw³ 46. m‡gvò cÖwµqvi †ÿ‡Î wb‡Pi †Kvb mgxKiYwU mwVK?
wePiYkxj AYyi MwZkw³ I AvYweK w¯’wZkw³
dQ = dU dQ = dW
Zvcxqkw³ I N~Y©b MwZkw³
dW = dU dU = dW – dQ
DËi: wePiYkxj AYyi MwZkw³ I AvYweK w¯’wZkw³
DËi: dQ = dW
39. ÒM¨v‡mi Af¨šÍixY kw³ ïaygvÎ Gi ZvcgvÎvi Dci
wbf©i K‡i, Gi Pvc ev AvqZ‡bi Dci wbf©i K‡i bvÓ
GUv‡K ejv nqÑ iæ×Zvcxq cÖwµqv
†gqvi (Mayer) Gi cÖKí 47. iæ× Zvcxq I m‡gvò cÖwµqvi †ÿ‡Î P-V †jLwP‡Îi
†Rgm †cÖmKU Ryj Gi cÖKí †Q`we›`y‡Z Xvj؇qi AbycvZÑ [g. †ev. 23]
mvw` Kv‡b©v cÖKí 1
K¬wmqvm w_Iwi
DËi: †gqvi (Mayer) Gi cÖKí +1 – 1
m‡gvò cÖwµqv DËi:
40. wb‡¤œi †KvbwU m‡gvò cwieZ©‡bi kZ©? [Kz. †ev. 23] 48. iæ×Zvcxq cÖmvi‡Y M¨v‡mi kw³i Drm n‡jvÑ [iv. †ev. 23]
GKwU `ªæZ MwZi cÖwµqv evwn¨K KvR Zvc eR©b
PZzcv© k¦©¯’ gva¨‡gi Zvc aviKZ¡ Kg Af¨šÍixY kw³ Zvc MÖnY
cv‡Îi †`qvj Zvc Kzcwienx DËi: Af¨šÍixY kw³
Zvi AcmviY ev mieivn cÖ‡qvRb 49. eû cvigvYweK M¨v‡mi †ÿ‡Î Gi gvb KZ? [Kz. †ev. 23]
DËi: Zvi AcmviY ev mieivn cÖ‡qvRb
1.05 1.33
41. wb‡Pi †Kvb cÖwµqvi †ÿ‡Î dQ = dW nq?
[g. †ev. 23; h. †ev. 23]
1.44 1.66
m‡gvò cÖwµqv mgPvc cÖwµqv DËi: 1.33
mgAvqZb cÖwµqv iƒ×Zvcxq cÖwµqv 50. iæ×Zvcxq cÖwµqvq GKwU wØ-cigvYy M¨v‡mi Pvc 5%
DËi: m‡gvò cÖwµqv e„w× Ki‡j M¨v‡mi AvqZb kZKiv KZ Kg‡e? ( = 1.4)
42. ZvcgvÎv w¯’i †i‡L †h ZvcMZxq cÖwµqvq wKQz cwigvY M¨vm‡K [Kz. †ev. 23]
ms‡KvPb I cÖmviY Kiv nq, †m cÖwµqv‡K wK e‡j? [P. †ev. 19] 2.5% 3.42%
mgPvc iæ×Zvcxq 4.76% 5%
m‡gvò mg-AvqZb DËi: 3.42%
DËi: m‡gvò
e¨vL¨v: P1V1 = P2V2
43. m‡gvò cÖwµqvq GKwU wmwjÛv‡ii g‡a¨ ivLv wKQz M¨vm 1
V2 = V1
800 J KvR m¤úv`b Ki‡j M¨vm KZ…©K †kvwlZ Zv‡ci P1
P2
cwigvY KZ Ryj? [iv. †ev. 19]
1
=
0 400 1 1.4
800 900 1 + 0.05 V1
DËi: 800 V2 = 0.966 V1
e¨vL¨v: m‡gvò cÖwµqvq, V1 – 0.966 V1
V = 100%
dQ = dW V1
dQ = 800 J = 3.42%
nd
28 HSC Physics 2
Paper Chapter-1
51. wb‡Pi †Kvb †jLwU GKwU Av`k© M¨v‡mi iæ×Zvcxq 55. iæ×Zvcxq cÖwµqvq GKwU Av`k© M¨v‡mi Pvc I
m¤úªmviY‡K cÖKvk K‡iÑ [h. †ev. 23] ZvcgvÎvi g‡a¨ m¤úK©Ñ [h. †ev. 22]
lnT lnT P–1 T = aªæeK
P T +1
= aªæeK
–1 1–
P T = aªæeK P T = aªæeK
lnP lnP
1–
DËi: P T = aªæeK
lnT lnT 56. evqy gva¨‡g kã mÂvjb †Kvb ai‡bi cÖwµqv? [Xv. †ev. 21]
m‡gvò mgPvcxq
lnP lnP
mgvqZb iæ×Zvcxq
lnT
DËi: iæ×Zvcxq
DËi: 57. iæ×Zvcxq cÖmvi‡Y †KvbwU mwVK? [Xv. †ev. 21]
lnP
1– [GLv‡b W = evwn¨K KvR, U = AšÍt¯’ kw³i
e¨vL¨v: TP =K cwieZ©b, Q = cÖhy³ Zvc]
1–
W = U W = – U
ln TP ( )= lnK
Q = U Q = U
1–
lnT + lnP = lnK DËi: W = – U
58. iæ×Zvcxq cwieZ©‡bi mgq Av`k© M¨v‡mi †ÿ‡Î Pvc I
1–
lnT = lnP + lnk ZvcgvÎvi m¤úK© n‡jvÑ
[P. †ev. 21; g. †ev. 21]
1– 1–
hv, y = mx + c Gi Abyiƒc = =
TP aªæeK PT aªæeK
5
52. = Gi Rb¨ †KvbwU mwVK? [P. †ev. 23; iv. †ev. 16]
3 TP1 – = aªæeK PT1 – = aªæeK
5 5 1–
Cp = R Cv = R
3 3 DËi: TP = aªæeK
3 59. †h †f․Z cÖwµqvq GbUªwc w¯’i _v‡K Zv n‡jvÑ
Cv = R Cv = 2R
2 [Kz. †ev. 21; e. †ev. 16]
3 iƒ×Zvcxq cÖ wµqv m‡gvò cÖwµqv
DËi: Cv = R
2
mgPvc cÖwµqv mgAvqZb cÖwµqv
e¨vL¨v: CP = R DËi: iƒ×Zvcxq cÖwµqv
–1
60. iƒ×Zvcxq cwieZ©‡b †Kvb †f․Z ivwkwU cwieZ©b nq bv?
5
3
[e. †ev. 21; h. †ev. 15]
R
5 Pvc AvqZb
3
–1 ZvcgvÎv GbUªwc
5
CP = R DËi: GbUªwc
2
1 61. m‡gvò †iLvi Xvj iƒ×Zvcxq †iLvi Xvj A‡cÿv KZ¸Y
CV = R Lvov?
–1 [Xv. †ev. 21]
=
1 1
R + +
5 – 1
3 1
– –
3
CV = R
2 1
53. CO2 M¨v‡mi Rb¨ Gi gvb KZ? DËi: +
[P. †ev. 23]
1.33 1.40 62. iƒ×Zvcxq 1 atm Pv‡c ivLv M¨vm‡K cÖmvwiZ K‡i wظY
1.67 1.69 Kiv n‡j †h P~ovšÍ Pvc nq, m‡gvò cÖwµqvq †mB GKB
DËi: 1.33 Pvc †c‡Z M¨vm‡K KZ¸Y cÖmvwiZ Ki‡Z n‡e?
54. iæ×Zvc cÖwµqvi †ÿ‡Î †KvbwU mwVK? [e. †ev. 23] [P. †ev. 21; g. †ev. 21]
dS = 0 dV = 0 1.4 2.6
dQ 0 dW = dU 5.2 7.8
DËi: dS = 0 DËi: 2.6
ZvcMwZwe`¨v Final Revision Batch 29
e¨vL¨v: P1V1 = P2V2 e¨vL¨v: P1V1 = P 2V 2
V1
P2 = P2 =
V1
V2 P1 V2 P1
1 1.4
1 1.4
=
P2 = 1
P1 2 3
m‡gvò cÖwµqvq, P2 = 0.215 atm
P1V1 = P2V2 68. mgPv‡c I 17C ZvcgvÎvq 2 wjUvi‡K evqy‡Z 3 wjUvi
V2 P1 AvqZb Kivi Rb¨ ZvcgvÎv KZ n‡e?
= = (2)1.4
V1 P2 100C 152C
V2 = 2.6 V1 162C 262C
63. iæ×Zvcxq cÖmvi‡Yi †ÿ‡Î †KvbwU mwVK? [wm. †ev. 17] DËi: 162C
wm‡÷‡gi Ici KvR m¤úbœ nq V V
e¨vL¨v: T 1 = T 2
1 2
ZvcgvÎv w¯’i _v‡K 2 3
AšÍt¯’ kw³ n«vm cvq =
(17 + 273) T2
Zvc ewR©Z nq T2 = 435 K
DËi: AšÍt¯’ kw³ n«vm cvq T2 = 162C
64. †Kv‡bv M¨vm‡K iƒ×Zvcxq cÖwµqvq msKzwPZ Ki‡j wb‡Pi 69. 127C ZvcgvÎvq †Kvb wbw`©ó cwigvY M¨vm nVvr
†KvbwU N‡U? msKzwPZ n‡q 1/3 AvqZb jvf K‡i| ZvcgvÎvi
cwieZ©b KZ? [ = 1.40]
Af¨šÍixY kw³ e„w× cvq, ZvcgvÎv n«vm cvq
620.74C 347.74C
Af¨šÍixY kw³ n«vm cvq, ZvcgvÎv e„w× cvq
220.74C 127C
Af¨šÍixY kw³ I ZvcgvÎv DfqB e„w× cvq
DËi: 220.74C
Af¨šÍixY kw³ I ZvcgvÎv DfqB n«vm cvq –1 –1
e¨vL¨v: T1V 1 = T2V2
DËi: Af¨šÍixY kw³ I ZvcgvÎv DfqB e„w× cvq
[]
V1 –1
T2 = T1
65. iƒ×Zvc cÖwµqvi †ÿ‡Î wb‡¤œi †KvbwU mwVK bq? V2
ZvcgvÎv aªæe _v‡K bv wKš‘ Zv‡ci cwieZ©b nq bv = (127 + 273) (3)1.4–1
A_©vr dQ = 0 T2 = 620.738 K
GwU GKwU axi cÖwµqv T = (620.738 – 273) – 127
= 220.74C
GB cÖwµqvq Zvc eR©b ev †kvlY Kiv nq bv
GB cÖwµqvq M¨v‡mi Pvc I AvqZ‡bi m¤úK©: cÖZ¨veZ©x I AcÖZ¨veZ©x cÖwµqv
PV = aªæeK
70. cÖZ¨veZ©x cÖwµqvi †ÿ‡ÎÑ [w`. †ev. 22]
DËi: GwU GKwU axi cÖwµqv GwU ¯^Ztù~Z© cÖwµqv
66. M¨v‡mi iƒ×Zvcxq ms‡KvP‡bi mgq 350 J KvR GwU axi cÖwµqv
m¤úvw`Z nq D³ e¨e¯’vq AšÍt¯’ kw³i cwieZ©‡bi gvb ZvcMZxq mvg¨ve¯’v eRvq _v‡K bv
KZ n‡e? kw³i AcPq nq
50 J – 150 J DËi: GwU axi cÖwµqv
350 J – 350 J 71. `y B wU e¯‘i g‡a¨ Nl©‡Yi d‡j Drcbœ Zvc †Kvb cÖwµqv
DËi: 350 J AbymiY K‡i? [P. †ev. 21; g. †ev. 21; w`. †ev. 17]
e¨vL¨v: iæ×Zvcxq cÖwµqv, cÖZ ¨veZ© x cÖ wµqv AcÖZ¨veZ©x cÖwµqv
dW = – dU iƒ×Zvcxq cÖwµqv m‡gvò cÖwµqv
– 350 = – dU DËi: AcÖZ¨veZ©x cÖwµqv
dU = 350 J 72. cÖ Z ¨veZ© x cÖwµqv m¤ú‡K© mwVK Z_¨ bq wb‡Pi †KvbwU?
67. evqy‡K iƒ×Zv‡c cÖmvwiZ K‡i Gi AvqZb wZb¸Y Kiv cwieZ©b Lye ax‡i ax‡i msNwUZ nq
GwU g~jZ •¯’wZK
n‡jv| hw` cÖv_wgK Pvc 1 evqygÛjxq Pvc nq Zvn‡j
Aeÿqx djvdj _v‡K
P~ovšÍ Pvc KZ n‡e? ( = 1.4)
•e`y¨wZK †iv‡ai ga¨ w`‡q ax‡i ax‡i we`y¨rcÖevn
2.176 104 Nm–2 31.76 104 Nm–2 cÖZ¨veZ©x cÖwµqv
2.176 103 Nm–2 31.76 105 Nm–2 DËi: •e`y¨wZK †iv‡ai ga¨ w`‡q ax‡i ax‡i we`y¨rcÖevn
DËi: Blank cÖZ¨veZ©x cÖwµqv
nd
30 HSC Physics 2 Paper Chapter-1
73. cÖZ¨vMvgx cÖwµqv †KvbwUÑ [h. †ev. 16] 81. †Kvb M¨v‡mi Rb¨ iƒ×Zvcxq †jL AwaK Lvov?
¯^Ztù~Z© cÖwµqv `ªæZ cÖwµqv [e. †ev. 19]
GKgyLx cÖwµqv ZvcMZxq cÖwµqv wg‡_b Aw·‡Rb
DËi: ZvcMZxq cÖwµqv wnwjqvg Kve©b-WvB-A·vBW
74. AcÖZ¨veZ©x cÖwµqvi †ÿ‡Î mZ¨ bq †KvbwU? DËi: wnwjqvg
AcÖZ¨veZ©x cÖwµqv nVvr Ges ¯^Ztù~Z©fv‡e msNwUZ nq 82. wØ-cvigvYweK M¨v‡mi Rb¨ †gvjvi Av‡cwÿK Zvc؇qi
ZvcMZxq mvg¨e¯’v eRvq _v‡K bv
AbycvZ () KZ? [h. †ev. 19]
cÖwµqvwU Ac‡bq cÖwµqv bv‡gI cwiwPZ
e›`yK n‡Z ¸wj †Quvov GKwU AcÖZ¨veZ© cÖwµqv 1.33 1.40
DËi: cÖwµqvwU Ac‡bq cÖwµqv bv‡gI cwiwPZ 1.67 1.69
DËi: 1.40
M¨v‡mi Av‡cwÿK Zvc 83. †Kv‡bv M¨v‡mi `ywU †gvjvi Av‡cwÿK Zv‡ci AbycvZ
75. AvM©b M¨v‡mi †ÿ‡Î =
5
n‡j w¯’i AvqZ‡b †gvjvi GKwU aªæe ivwk| G aªæe ivwk‡K †h cÖZxK Øviv cÖKvk
3
Kiv nq Zv n‡jvÑ [mw¤§wjZ †evW©-18]
Av‡cwÿK Zvc KZ? [wm. †ev. 22]
7 5 R
R R
2 2 K
3 DËi:
R R
2
3 84. Ne M¨v‡mi †ÿ‡Î Gi gvbÑ [Kz. †ev. 16]
DËi: 2
R
1.33 1.40
R 1.67 1.76
e¨vL¨v: CV =
–1
DËi: 1.67
R
=
5 85. †Kv‡bv M¨v‡mi Av‡cwÿK Zvc؇qi AbycvZ = 1.41
–1
3 n‡j M¨vmwUi AYy n‡eÑ [e. †ev. 15]
3 GK-cigvYyK wØ-cigvYyK
CV = R
2
76. wÎcigvYyK M¨v‡mi Rb¨ Gi gvbÑ [Kz. †ev. 22]
wÎ-cigvYyK eû-cigvYyK
1.33 1.41 DËi: wØ-cigvYyK
1.66 3.00
DËi: 1.33 ZvcMwZwe`¨vi wØZxq m~Î
77. GK cigvYyK M¨v‡mi †ÿ‡Î Gi gvb KZ? [h. †ev. 22]
1.11 1.33 86. 1.0 105 Nm–2 w¯’i Pv‡c †Kv‡bv Av`k© M¨v‡mi
1.41 1.67 AvqZb 0.04 m3 †_‡K cÖmvwiZ n‡q 0.05 m3 n‡jv|
DËi: 1.67 ewnt¯’ Kv‡Ri cwigvY KZ? [Xv. †ev. 22]
78. I‡Rvb M¨v‡mi Rb¨ Gi gvb †KvbwU? [h. †ev. 21] 1J 10 J
1.03 1.33 100 J 1000 J
1.4 1.67
DËi: 1000 J
DËi: 1.33
e¨vL¨v: dW = PdV
79. wnwjqvg M¨v‡mi †ÿÎ CP/CV Gi AbycvZ wb‡Pi
†KvbwU? [w`. †ev. 21] = 1 105 (0.05 – 0.04)
1.67 1.41 dW = 1000 J
1.33 k~b¨ 87. ZvcMwZe`¨vi 1g m~Î n‡Z Rvbv hvq bvÑ [e. †ev. 19]
DËi: 1.67 KvR I Zv‡ci m¤úK©
80. †Kvb M¨v‡mi Rb¨ iƒ×Zvcxq †jL AwaK Lvov? kw³i msiÿYkxj bxwZ
[w`. †ev. 21]
wbqb Aw·‡Rb Af¨šÍixY kw³i aviYv
I‡Rvb Kve©b-WvB-A·vBW Zvc cÖev‡ni AwfgyL
DËi: wbqb DËi: Zvc cÖev‡ni AwfgyL
ZvcMwZwe`¨v Final Revision Batch 31
Zvcxq BwÄb 94. †iwd«Rv‡iUi ZvcMwZwe`¨vi †Kvb m~‡Îi wfwˇZ
88. Ò†Kv‡bv wbw`©ó cwigvY Zvckw³ m¤ú~Y©fv‡e hvwš¿K wbwg©Z nq? [wm. †ev. 22]
kw³‡Z iƒcvšÍi Kivi gZ hš¿ wbg©vY m¤¢e bq|ÓÑ k~ b ¨Zg cÖ
_ g
wee„wZwU cÖ`vb K‡i †Kvb weÁvbx? [wm. †ev. 23; w`. †ev. 21] wØZxq Z…Zxq
cøvsK Kv‡b©v DËi: wØZxq
†Kjwfb K¬wmqvm 95. Kv‡b©vi Bwćbi †ÿ‡Î wb‡Pi †KvbwU mwVK bq?
DËi: Kv‡b©v [h. †ev. 21]
89. GKwU Kv‡b©v Bwćbi `ÿZv 60%| hw` Zvi Zvc m‡gvò cwieZ© b N‡U
MÖvn‡Ki ZvcgvÎv 17C nq Z‡e Dr‡mi ZvcgvÎv KZ? iƒ×Zvcxq cwieZ©b N‡U
[P. †ev. 23; K. †ev. 15] Zvc Dr‡mi ZvcgvÎvi cwieZ©b nq
725C 700C Zvc MÖvn‡Ki ZvcgvÎvi cwieZ©b nq bv
452C 290C DËi: Zvc Dr‡mi ZvcgvÎvi cwieZ©b nq
DËi: 452C 96. †Kv‡bv Zvc BwÄb n‡Z A‡a©K Zvc eR©b n‡j Bwćbi
e¨vL¨v: = 1 – 2 100%
T `ÿZv KZ n‡e? [Kz. †ev. 21]
T1 25% 50%
60% = 1 –
273 + 17
T1 100%
75% 80%
DËi: 50%
290
= 0.4 97. †iwd«Rv‡iUi cÖ‡Kv‡ô iwÿZ Lv`¨`ªe¨ n‡Z M„nxZ Zvc
T1
T1 = 452C Q2 Ges cwi‡e‡k ewR©Z Zvc Q1 n‡j Kvh©mnM K Gi
90. –8C Ges 27C ZvcgvÎvi g‡a¨ wµqviZ GKwU gvb njÑ [wm. †ev. 21]
wngvq‡Ki m‡e©v”P Kvh©K…Z mnM KZ? [e. †ev. 23] Q 1 Q 1
K= K=
8.57 7.57 Q2 – Q1 Q 1 – Q2
2.132 0.469 Q2 Q2
K= K=
DËi: 7.57 Q 1 – Q 2 Q 2 – Q1
T Q2
e¨vL¨v: K = T –2T DËi: K=
Q1 – Q2
1 2
(273 – 8) 98. Kv‡b©v P‡µi PZz_©av‡c wm‡÷‡gi GbUªwcÑ [P. †ev. 19]
= k~b¨ nq e„w× cvq
(273 + 27) – (273 – 8)
K = 7.571 K‡g hvq AcwiewZ©Z _v‡K
91. GKwU Kv‡b©v BwÄb 427C I 227C ZvcgvÎvi cwim‡i DËi: k~b¨ nq
KvR K‡i| Bwćbi `ÿZv KZ? 99. Kv‡b©vi P‡µi PZz_© av‡c wK N‡U? [Kz. †ev. 17]
[wm. †ev. 23; Kz, †ev. 19; Xv. †ev. 17]
m‡gvò cÖmviY m‡gvò ms‡KvPb
28.5% 40%
46.83% 81%
iƒ×Zvcxq ms‡KvPb iƒ×Zvcxq cÖmviY
DËi: 28.5% DËi: iƒ×Zvcxq ms‡KvPb
100. GKwU Kv‡b©v P‡µ iæ×Zvcxq cÖmviY KqwU? [P. †ev. 17]
e¨vL¨v: = 1 – T2 100%
T
1 1wU 2wU
= 1 –
500 3wU 4wU
700 100% DËi: 1wU
= 28.5% 101. †Kvb m~·K Kv‡R jvwM‡q Zvcxq BwÄb I †iwd«Rv‡iUi
92. Kv‡b©v P‡µi †Kvb av‡c Zvc M„nxZ nq? [g. †ev. 23]
•Zwi Kiv nq? [iv. †ev. 16]
cÖ_g wØZxq
ZvcvMwZwe`¨vi k~b¨Zg m~Î
Z…Zxq PZz_©
ZvcMwZwe`¨vi 1g m~Î
DËi: cÖ_g
ZvcMwZwe`¨vi 2q m~Î
93. GKwU Kv‡b©v Bwćbi cvwbi wngv¼ I ùzUbvsK-Gi g‡a¨
ZvcMwZwe`¨vi 3q m~Î
Kvh©Ki `ÿZv KZ? [g. †ev. 22; e. †ev. 22]
100% 26.8%
DËi: ZvcMwZwe`¨vi 2q m~Î
20.6% 0%
102. GKwU †iwd«Rv‡iU‡i Kvh©K…Z mnM K = 2.6; GwU VvÐv
DËi: 26.8%
cÖ‡Kvô n‡Z cÖwZ P‡µ 500 J Zvc AcmviY K‡i, cÖwZ
e¨vL¨v: = 1 – T2 100%
T
1 P‡µ mieivnK…Z Kvn KZ n‡e? [Xv. †ev. 16]
= 1 –
273 1250 J 502.5 J
100%
373 500 J 200 J
= 26.8% DËi: 200 J
nd
32 HSC Physics 2Paper Chapter-1
103. Kv‡b©v P‡µi 1g av‡ci †ÿ‡Î wb‡Pi †KvbwU mwVK? 112. wb¤œ ùzUbv‡¼i †Kv‡bv Zij cwicvk¦© n‡Z jxbZvc ev
[P. †ev. 15] myßZvc MÖnY K‡i cwicvk¦©‡K kxZj K‡i Zv‡K Kx e‡j?
ZvcgvÎv e„w× cvq ZvcgvÎv w¯’i _v‡K wngvqb wngvqK
AšÍt¯’ kw³ n«vm cvq Zvc ewR©Z nq Zvcxq BwÄb †iwd«Rv‡iUi
DËi: ZvcgvÎv w¯’i _v‡K
DËi: wngvqb
104. hw` †Kv‡bv Zvc BwÄb †_‡K Zvc ewR©Z bv nq, Z‡e
113. †Kvb kxZj e¯‘ †_‡K Zvc Dò e¯‘‡Z mÂvwjZ Ki‡Z
Bwćbi ÿgZv KZ n‡e? [iv. †ev. 15]
n‡j hvwš¿K kw³ e¨q Ki‡Z nq| GB e¨e¯’v‡K Kx
0% 1%
e‡j?
50% 100%
DËi: 100% Zvc BwÄb Kv‡b©v BwÄb
105. GKwU Kv‡b©v-P‡µ †gvU GbUªwci cwieZ©b n‡jvÑ Zvc cv¤ú K‡¤úªmi
Q1 – Q2 DËi: Zvc cv¤ú
Zero 114. †iwd«Rv‡iUi Kvh©K…Z mnM K Gi gvb KZ?
T1 –T2
less than zero greater than zero 2 †_‡K 6 3 †_‡K 9
DËi: Zero 5 †_‡K 8 0.5 †_‡K 1.5
106. M„nxZ Zvc Q1 Ges ewR©Z Zvc Q2 n‡j Zvcxq Bwćbi DËi: 2 †_‡K 6
`ÿZv KZ? 115. GKwU †iwd«Rv‡iU‡i Kvh©K…Z mnM K = 4.6; GwU VvÐv
Q1 cÖ‡Kvô n‡Z cÖwZ P‡µ 250 J Zvc AcmviY K‡i, cÖwZ
Q2
P‡µ †iwd«Rv‡iUi Pvjbv Rb¨ Kx cwigvY KvR mieivn
Q2
1 1+
Q
Ki‡Z n‡e?
1
Q2 46 J 54 J
DËi: 1– 56 J 75 J
Q1
107. GKwU Zvc Bwćbi Kvh©Ki e¯‘ 400K ZvcgvÎvi Drm DËi: 54 J
n‡Z 840J Zvc MÖnY K‡i kxZj Avav‡i 420J Zvc
eR©b K‡i| kxZj Avav‡ii ZvcgvÎvÑ GbUªwc
200K 420K 116. 0C ZvcgvÎvq 40g eid‡K 0C ZvcgvÎvq 40g
300K 100K ZvcgvÎvq 40g cvwb‡Z cwienY Ki‡Z G›Uªwci
DËi: 200K cwieZ©b KZ? [iv. †ev. 23]
108. GKwU Kv‡b©v BwÄb 500K ZvcgvÎvi Zvc Drm †_‡K 49.2 JK–1 49.2 102 JK–1
300 cal Zvc MÖnY K‡i Ges Zvc MÖvn‡K 225 cal 49.2 103 JK–1 49.2 103 KJK–1
Zvc eR©b K‡i| Zvc MÖvn‡Ki ZvcgvÎv KZ? DËi: 49.2 JK –1
666.67K 135K ml
300K 375K e¨vL¨v: dS = T f
DËi: 375K 0.04 3.36 105
109. GKwU Kv‡b©v BwÄb 400K ZvcgvÎvi Zvc Drm †_‡K =
273
200 cal Zvc MÖnY K‡i Ges Zvc MÖvn‡K 150 cal dS = 49.2 JK–1
Zvc eR©b K‡i| Zvc MÖvn‡Ki ZvcgvÎv KZ? 117. G›Uªwc ej‡Z eySvqÑ [Kz. †ev. 23]
400K 200K wm‡÷‡gi wek„•Ljv cwigvc
150K 300K iƒcvšÍ‡ii Rb¨ kw³i cÖvßZv
DËi: 300K kw³i iƒcvšÍ‡ii mÿgZv
110. BwÄb A KvR Ki‡Q 500K I 450K ZvcgvÎvq Ges
kw³ iƒcvšÍ‡ii m¤¢ve¨Zv
BwÄb B KvR Ki‡Q 450K I 400K ZvcgvÎvq| BwÄb DËi: wm‡÷‡gi wek„•Ljv cwigvc
B Gi `ÿZv BwÄb A †_‡K KZUzKz †ewk?
118. GbUªwci SI GKK wb‡Pi †KvbwU? [wm. †ev. 23, 22, 19;
0% 1.0% w`. †ev. 23, 21, 15; P. †ev. 22; Xv. †ev. 16; iv. †ev. 15]
1.5% 2.0% JK–1 NK–1
DËi: 1.0% Jkg K–1 –1
JK–1mol–1
111. †iwd«Rv‡i›U m¤úwK©Z mwVK Z_¨ bq †KvbwU? DËi: JK –1
G‡`i ùzUbv¼ Kÿ ZvcgvÎv †_‡K A‡bK †ewk 119. iæ×Zvcxq cÖwµqvq †Kvb †f․Z ivwk w¯’i _v‡K?
Giv M¨vmxq Ae¯’vq _v‡K [Xv. †ev. 22; g. †ev. 22; wm. †ev. 17; h. †ev. 17]
Pvc cÖ‡qv‡M Zi‡j cwiYZ nq ZvcgvÎv Pvc
†d«qb GKwU †iwd«Rv‡i›U GbUªwc Af¨šÍixY kw³
DËi: G‡`i ùzUbv¼ Kÿ ZvcgvÎv †_‡K A‡bK †ewk DËi: GbUªwc
ZvcMwZwe`¨v Final Revision Batch 33
120. cÖZ¨vMvgx cÖwµqvq G›UªwcÑ [e. †ev. 22] 129. GbUªwc cwigvc K‡i wm‡÷‡giÑ [w`. †ev. 16]
w¯’i _v‡K e„w× cvq ZvcgvÎv AšÍt¯’¨kw³
n«vm cvq k~b¨ nq k„•Ljv wek„•Ljv
DËi: e„w× cvq DËi: wek„•Ljv
121. m f‡ii Ges s Av‡cwÿK Zv‡ci †Kv‡bv e¯‘i D”P 130. 10C ZvcgvÎvi 5 kg cvwb‡K 100C ZvcgvÎvi
ZvcgvÎv T1 †_‡K wb¤œ ZvcgvÎvi T2 †Z cwiewZ©Z cvwb‡Z DbœxZ Ki‡Z GbUªwci cwieZ©bÑ [iv. †ev. 16]
n‡j Gi GbUªwci cwieZ©b n‡e †KvbwU? [iv. †ev. 22]
5978.76 JK–1 6978 JK–1
ms (ln T2 – ln T1) ms (ln T1 – ln T2)
5798.76 JK–1 6000 JK–1
ms ln (T2 – T1) ms ln (T1 – T2)
DËi: 5798.76 JK–1
DËi: ms (ln T2 – ln T1)
T
122. wm‡÷‡gi †Kvb Ae¯’vq GbUªwc Kg cvIqv hvq? e¨vL¨v: dS = ms ln T2
1
[iv. †ev. 21; w`. †ev. 17; Xv. †ev. 15]
= 5 4200 ln
Zij cøvRgv 273 + 100
273 + 10
M¨vmxq KwVb –1
dS = 5798.76 JK
DËi: KwVb
123. 100C ZvcgvÎvq 4kg cvwb‡K 100C ZvcgvÎvq
wewea
ev‡®ú cwiYZ Kiv n‡jv| GbUªwc e„w× KZ? [iv. †ev. 21]
2.24 × 104 JK–1 22.4 × 104 JK–1 131. wb‡Pi †Kvb¸‡jv ZvcMZxq PjK wb‡`©k K‡i? [Kz. †ev. 16]
24.32 × 104 JK–1 25.42 × 104 JK–1 P, V, T, M P, T, F, U
DËi: Blank P, V, T, S P, V, T, Q
ml DËi: Blank
e¨vL¨v: dS = T v
[we.`ª.: mwVK DËi †bB]
4 2.26 106
= 132. 500 m DuPz Rj cÖcv‡Zi Zj‡`k I kxl©‡`‡ki cvwbi
373
ZvcgvÎvi cv_©K¨ KZ n‡e? (g = 10 ms–2, cvwbi
dS = 24235.325 JK–1
124. ZvcMwZwe`¨vi wØZxq m~‡Îi MvwYwZK iƒcÑ [h. †ev. 21] Av‡cwÿK Zvc = 4200 Jkg–1K–1) [Kz. †ev. 16]
dS 0.50C 1.19C
dQ = TdS dQ =
T 5.0C 50C
W = JH dQ = dU + dW DËi: 1.19C
DËi: dQ = TdS e¨vL¨v: ms = mgh
125. gnvwe‡k¦ GbUªwci cwigvYÑ [w`. †ev. 19]
gh 10 500
k~b¨ aªæeK = =
s 4200
evo‡Q Kg‡Q = 1.19C
DËi: evo‡Q
126. ¯^Ztù~Z© cwieZ©‡bÑ [wm. †ev. 17] eûc`x mgvßm~PK cÖ‡kœvËi
GbUªwc I wek„•Ljv n«vm cvq
GbUªwc I k„•Ljv e„w× cvq 133. GbUªwc m¤ú‡K© ejv hvqÑ [e. †ev. 23]
GbUªwc I k„•Ljv n«vm cvq (i) cig gvb wbY© q Kiv hvq bv
GbUªwc I wek„•Ljv e„w× cvq (ii) cwieZ©b abvZ¥K n‡Z cv‡i
DËi: GbUªwc I wek„•Ljv e„w× cvq (iii) cwieZ©b FYvZ¥K n‡Z cv‡i
127. mycviKÛvKUi mvaviY KÛvKU‡ii †P‡q †ewk myk„•Lj| wb‡Pi †KvbwU mwVK?
hw` mycviKÛvKUi Ges mvaviY KÛvKUi Ae¯’vq i I ii i I iii
GbUªwc h_vµ‡g Ss Ges Sn nq Z‡e wb‡¤œi †KvbwU ii I iii i, ii I iii
mwVK? DËi: i, ii I iii
Ss = Sn Ss > Sn 134. w¯’i Pv‡c GKwU M¨v‡m Zvc cÖ‡qvM Kivq GiÑ [w`. †ev. 23]
Ss < Sn Ss Sn (i) ZvcgvÎv †e‡o hv‡e
DËi: Ss < Sn
(ii) ewnt¯’ KvR m¤úbœ n‡e
128. GbUªwc n‡jvÑ [h. †ev. 16]
(iii) AvqZb †e‡o hv‡e
k„•Ljvi cwigvY
wb‡Pi †KvbwU mwVK?
kw³i iƒcvšÍi ÿgZvi cwigvc
i I ii i I iii
iƒcvšÍ‡ii Rb¨ kw³ cvIqvi cwigvc
Zvcxq g„Zz¨i m¤¢vebvi cwigvc ii I iii i, ii I iii
DËi: Zvcxq g„Zz¨i m¤¢vebvi cwigvc DËi: i I iii
nd
34 HSC Physics 2 Paper Chapter-1
135. G›Uªwci †ejvq cÖ‡hvR¨Ñ [Xv. †ev. 23] 141. ZvcMZxq cÖwµqvi †ÿ‡Î cÖ‡hvR¨Ñ [e. †ev. 22]
(i) Gi †Kv‡bv cig gvb †bB (i) m‡gvò cÖwµqvq, dU = 0
(ii) cÖZ¨veZ©x cÖwµqvq G›Uªwci †Kv‡bv cwieZ©b nq bv (ii) iæ×Zvcxq cÖwµqvq, dW = – dU
(iii) AcÖZ¨veZ©x cÖwµqvq G›Uªwc w¯’i _v‡K (iii) mgAvqZb cÖwµqvq, dQ = dU
wb‡Pi †KvbwU mwVK? wb‡Pi †KvbwU mwVK?
i I ii i I iii i I ii i I iii
ii I iii i, ii I iii
ii I iii i, ii I iii
DËi: i, ii I iii
DËi: i I ii
142. ZvcMwZwe`¨vi cÖ_g I wØZxq m~‡Îi mgwš^Z iƒc n‡jvÑ
136. m‡gvò cÖmvi‡Yi †ÿ‡ÎÑ [iv. †ev. 23] [e. †ev. 22]
(i) Af¨šÍixY kw³ w¯’i _v‡K (i) dW = TdS – dU
(ii) Bnv `ªæZ cÖwµqv (ii) dU = TdS – PdV
(iii) cv‡Îi Dcv`vb mycwievnx (iii) dW = TdS – CVdT
wb‡Pi †KvbwU mwVK?
wb‡Pi †KvbwU mwVK?
i I ii i I iii
i I ii ii I iii
ii I iii i, ii I iii
i I iii i, ii I iii
DËi: i, ii I iii
DËi: i I iii 143. iæ× Zvcxq cÖwµqvqÑ [e. †ev. 22]
137. cwi‡e‡ki mv‡_ kw³ wewbgq Ki‡Z cv‡iÑ [h. †ev. 23] (i) Entropy AcwiewZ©Z _v‡K
(i) wew”Qbœ wm‡÷g (ii) Zv‡ci Av`vb cÖ`vb N‡U bv
(ii) Db¥y³ wm‡÷g (iii) ZvcgvÎvi cwieZ©b N‡U bv
(iii) e× wm‡÷g wb‡Pi †KvbwU mwVK?
wb‡Pi †KvbwU mwVK? i I ii i I iii
i I ii i I iii ii I iii i, ii I iii
ii I iii i, ii I iii DËi: i I ii
DËi: ii I iii 144. Kv‡b©vP‡µi wØZxq av‡cÑ [w`. †ev. 22]
138. AcÖZ¨veZ©x cÖwµqvÑ [Xv. †ev. 22] (i) Zvc n«vm cvq
(i) GKwU `ªæZ cÖwµqv (ii) ZvcgvÎv n«vm cvq
(iii) AvqZb e„w× cvq
(ii) GKwU ¯^Ztù~Z© cÖwµqv
wb‡Pi †KvbwU mwVK?
(iii) wm‡÷g ZvcMZxq mvg¨ve¯’v eRvq iv‡L bv
i I ii i I iii
wb‡Pi †KvbwU mwVK?
ii I iii i, ii I iii
i I ii i I iii
DËi: ii I iii
ii I iii i, ii I iii 145. AvqZb AcwiewZ©Z †i‡L †Kv‡bv M¨v‡m hw` wKQz Zvc
DËi: i, ii I iii cÖ‡qvM Kiv nq, Zvn‡j H M¨v‡mi †ÿ‡Î Ñ [iv. †ev. 22]
139. m‡gvò cÖwµqvi †ÿ‡Î cÖ‡hvR¨ njÑ [P. †ev. 22] (i) Pvc e„w× cvq
(i) G cÖwµqvi ZvcgvÎv w¯’i _v‡K (ii) MwZkw³ e„w× cvq
(ii) G cÖwµqvi dQ = –dW (iii) ZvcgvÎv e„w× cvq
(iii) G cÖwµqvi wm‡÷g I cwi‡e‡ki g‡a¨ Zv‡ci wb‡Pi †KvbwU mwVK?
Av`vb-cÖ`vb nq| i I ii i I iii
wb‡Pi †KvbwU mwVK? ii I iii i, ii I iii
i I ii i I iii DËi: i, ii I iii
ii I iii i, ii I iii 146. ax‡i ax‡i Pvc e„w× Kivq †Kv‡bv wm‡÷‡gi Pvc 2 Pa
DËi: i I iii n‡Z 4 Pa n‡jv| G‡ÿ‡Î mgAvqZb cÖwµqvq
140. iæ×Zvcxq cwieZ©bÑ [wm. †ev. 22]
wm‡÷‡gi Af¨šÍixY kw³ 200 J e„w× †c‡jv|
wm‡÷‡giÑ [Kz. †ev. 21]
(i) `ªæZ msNwUZ nq
(i) mieivnK…Z Zvc 200 J
(ii) Acwievnx cv‡Î msNwUZ nq
(ii) K…ZKvR k~b¨
(iii) PV–1 = aªæeK (iii) ZvcgvÎv e„w× cv‡e
wb‡Pi †KvbwU mwVK? wb‡Pi †KvbwU mwVK?
i I ii ii I iii i I ii i I iii
i I iii i, ii I iii ii I iii i, ii I iii
DËi: i I ii DËi: i, ii I iii
ZvcMwZwe`¨v Final Revision Batch 35
147. iæ×Zvcxq ms‡KvP‡bi †ÿ‡ÎÑ [h. †ev. 21] 152. iæ× Zvcxq cwieZ©‡bi †ÿ‡ÎÑ [w`. †ev. 21]
(i) Zvc †kvwlZ (i) nVvr msNwUZ nq
(ii) wm‡÷‡gi Dci Kvh© m¤úvw`Z nq (ii) ZvcgvÎv w¯’i _v‡K
(iii) wm‡÷‡gi ZvcgvÎv e„w× cvq (iii) GbUªwci cwieZ©b k~b¨
wb‡Pi †KvbwU mwVK? wb‡Pi †KvbwU mwVK?
i I ii i I iii i I ii i I iii
ii I iii i, ii I iii
ii I iii i, ii I iii
DËi: ii I iii
DËi: i I iii
148. wb‡Pi wee„wZ¸‡jv jÿ¨ Ki [P. †ev. 21; g. †ev. 21]
153. cwi‡ek I wm‡÷‡gi g‡a¨ kw³i Av`vb cÖ`vb nqÑ
(i) †h ZvcgvÎvq †Kv‡bv c`v_© KwVb, Zij I
[Kz. †ev. 19; wm. †ev. 19]
evqexqiƒ‡c mvg¨ve¯’vq _v‡K Zv‡K H c`v‡_©i (i) Db¥y³ wm‡÷‡g
•Îa we›`y e‡j
(ii) eÜ wm‡÷‡g
(ii) †h cwieZ©‡bi Kvi‡Y ZvcMZxq ¯’vbvs‡Ki gv‡bi
(iii) wew”Qbœ wm‡÷‡g
cwieZ©b nq †mB cwieZ©b‡K ZvcMZxq cÖwµqv e‡j
(iii) †Kv‡bv wm‡÷‡gi kw³i iƒcvšÍ‡ii AÿgZv ev
wb‡Pi †KvbwU mwVK?
Am¤¢ve¨Zv‡K ev iƒcvšÍ‡ii Rb¨ kw³ i I ii i I iii
AcÖvc¨Zv‡K GbUªwc e‡j ii I iii i, ii I iii
wb‡Pi †KvbwU mwVK? DËi: i I ii
i I ii i I iii 154. ZvcMZxq PjK n‡”QÑ [P. †ev. 17]
ii I iii i, ii I iii (i) Pvc
DËi: i, ii I iii (ii) Zvc
149. iæ×Zvcxq cwieZ©‡bi †ÿ‡ÎÑ [e. †ev. 21] (iii) AvqZb
(i) PV = aªæeK wb‡Pi †KvbwU mwVK?
(ii) TV1 – = aªæeK i I ii i I iii
(iii) TP1 – = aªæeK ii I iii i, ii I iii
wb‡Pi †KvbwU mwVK? DËi: i I iii
i I ii i I iii 155. ZvcMZxq PjK njÑ [w`. †ev. 17]
ii I iii i, ii I iii
(i) ZvcgvÎv
DËi: i I iii
(ii) AvqZb
150. Kv‡bv© P‡µi wØZxq av‡c Kvh©wbe©vnK e¯‘iÑ [wm. †ev. 21]
(iii) Af¨šÍixY kw³
(i) Zv‡ci †kvlY N‡U
(ii) Pvc n«vm cvq wb‡Pi †KvbwU mwVK?
(iii) ZvcgvÎv n«vm cvq i I ii i I iii
wb‡Pi †KvbwU mwVK? ii I iii i, ii I iii
i I ii i I iii DËi: i I ii
ii I iii i, ii I iii 156. iæ×Zvcxq cwieZ©‡bÑ [wm. †ev. 16]
DËi: ii I iii (i) ZvcgvÎvi cwieZ©b N‡U bv
151. m‡gvò cÖwµqvi †ÿ‡ÎÑ [w`. †ev. 21] (ii) cvÎ Zvc Kzcwievnx nIqv cÖ‡qvRb
(iii) Av`k© M¨v‡mi mgxKiY n‡jv, P1V1 = P2V2
(i) P wb‡Pi †KvbwU mwVK?
i I ii i I iii
V
ii I iii i, ii I iii
1 DËi: i I ii
(ii) P
157. hw` evqyc~Y© GKwU †ejyb dz‡U hvq, cÖwµqvwU‡ZÑ
V [wm. †ev. 16]
(i) KvR m¤úbœ n‡q‡Q
PV
(iii) (ii) Af¨šÍixY kw³ I ZvcgvÎv K‡g †M‡Q
(iii) GbUªwci cwieZ©b n‡q‡Q
V
wb‡Pi †KvbwU mwVK? wb‡Pi †KvbwU mwVK?
i I ii i I iii i I ii i I iii
ii I iii i, ii I iii ii I iii i, ii I iii
DËi: ii I iii DËi: i I ii
nd
36 HSC Physics 2 Paper Chapter-1
158. GKwU Zvc BwÄb m¤ú‡K© aviYv cvBÑ [Xv. †ev. 16] wb‡Pi DÏxcKwUi Av‡jv‡K 164 I 165 bs cÖ‡kœi
(i) Gi `ÿZv Drm I Zvc MÖvn‡Ki ZvcgvÎvi Dci DËi `vI:
wbf©i K‡i 1
(ii) Gi `ÿZv KL‡bv 100% n‡Z cv‡i bv GKwU Kv‡b©v BwÄb M„nxZ Zv‡ci 4 Ask Kv‡R cwiYZ
(iii) GwU kxZj Drm †_‡K Zvc Dò cwi‡e‡k K‡i| Gi Zv‡ci MÖvn‡K ZvcgvÎv 30 K Kgv‡j `ÿZv
¯’vbvšÍi K‡i wظY nq|
wb‡Pi †KvbwU mwVK? 164. Bwćbi `ÿZv KZ? [Xv. †ev. 23]
i i I ii
80% 75%
i I iii ii I iii
33% 25%
DËi: i I ii
159. GKwU c`v‡_©i ZvcwgwZK ag©Ñ [w`. †ev. 15]
DËi: 25%
(i) Pv‡ci mgvbycvwZK W
e¨vL¨v: = Q 100%
(ii) AvqZ‡bi mgvbycvwZK 1
1
(iii) ZvcgvÎvi mgvbycvwZK Q
4 1
wb‡Pi †KvbwU mwVK? = 100%
Q1
i ii
iii i I iii = 25%
DËi: iii 165. Zvc Dr‡mi ZvcgvÎv KZ? [Xv. †ev. 23]
160. Zvcxq PjK n‡jvÑ [Xv. †ev. 15] 60 K 90 K
(i) Pvc 120 K 150 K
(ii) AvqZb DËi: 120 K
(iii) AšÍt¯’ kw³ e¨vL¨v: W = Q1 – Q2
wb‡Pi †KvbwU mwVK? 1
Q1 = Q 1 – Q2
i I ii i I iii 4
ii I iii i, ii I iii 3
Q1 = Q 2
DËi: i I ii 4
161. iæ×Zvcxq cwieZ©‡bi †ÿ‡Î †KvbwU mwVK? [Kz. †ev. 15] Q2 3
=
(i) PV = aªæeK Q1 4
(ii) TV = aªæeK T2 3
=
1– T1 4
(iii) TP = aªæeK Avevi,
wb‡Pi †KvbwU mwVK? T2 – 30
2 = 1 – 100%
i I ii ii I iii T1
i I iii i, ii I iii
2 25% = 1 – + 100%
T2 30
DËi: i I iii T1 T1
Awfbœ Z_¨wfwËK cÖ‡kœvËi 3 30
1– + = 0.5
4 T1
DÏxcKwUi Av‡jv‡K 162 I 163 bs cÖ‡kœi DËi `vI: T1 = 120 K
GKwU wmwjÛv‡i wKQz M¨vm Ave× Av‡Q| M¨v‡mi Pvc
400 Pa w¯’i †i‡L wm‡÷‡g 800 J Zvckw³ cÖ`vb wb‡Pi DÏxcKwUi co Ges 166 I 167 bs cÖ‡kœi
Kivq K…ZKvR 1200 J cvIqv hvq| DËi `vI:
162. M¨v‡mi AšÍt¯’ kw³i cwieZ©b KZ n‡e? [wm. †ev. 23] GKwU cÖZ¨veZ©x Kv‡b©v BwÄb hLb 27C ZvcgvÎvq
–800 J –400 J ZvcMÖvn‡K _v‡K ZLb Gi Kg©-`ÿZv nq 50%|
–100 J 0 J [g. †ev. 22]
DËi: –400 J 166. BwÄbwUi Dr‡mi ZvcgvÎv KZ?
e¨vL¨v: dQ = dU + dW
500 K 550 K
800 = dU + 1200
600 K 650 K
dU = – 400 J
163. wm‡÷‡g Zvckw³ ax‡i ax‡i mieivn Kiv n‡j wm‡÷g DËi: 600 K
KZ…©K m¤úvw`Z KvR KZ n‡e? [wm. †ev. 23] e¨vL¨v: =1 – T2 100%
1200 J 800 J T1
50% = 1 –
400 J 0 J 273 + 27
100%
DËi: 800 J T1
e¨vL¨v: m‡gv cÖwµqvq, U = 0 300
= 0.5
T1
dQ = dW
dW = 800 J T1 = 600 K
ZvcMwZwe`¨v Final Revision Batch 37
167. BwÄbwUi `ÿZv 60% Ki‡Z n‡jÑ wb‡Pi DÏxc‡Ki Av‡jv‡K 172 I 173 bs cÖ‡kœi
(i) Dr‡mi ZvcgvÎv 750 K Ki‡Z n‡e DËi `vI:
(ii) ZvcMÖvn‡Ki ZvcgvÎv 150 K Kgv‡Z n‡e GKwU Kv‡b©v BwÄb 327C ZvcgvÎvq 800 J Zvc MÖnY
(iii) Dr‡mi ZvcgvÎv 150 K evov‡Z n‡e K‡i Ges 127C ZvcgvÎvi ZvcMÖvn‡K Zvc eR©b
wb‡Pi †KvbwU mwVK? K‡i| cieZ©x‡Z Zvc MÖvn‡Ki ZvcgvÎv 227C G
i I ii i I iii DbœxZ Kiv nq| [iv. †ev. 21]
ii I iii i, ii I iii 172. BwÄb KZ…©K m¤úvw`Z KvR n‡eÑ
DËi: i I iii 250 J 267 J
500 J 800 J
e¨vL¨v: = 1 – T2 100%
T
1
DËi: 267 J
Q T
60% = 1 –
300 e¨vL¨v: Q2 = T2
100%
T1 1 1
Q2 400
T1 = 750 K =
800 600
Avevi,
Q2 = 533.3 J
T2 W = Q1 – Q2
= 1– 100%
T1 = (800 – 533.3)
T2 100%
60% = 1 –
W = 267 J
600 173. cieZ©x Ae¯’vq `ÿZv c~‡e©iÑ [iv. †ev. 21]
T2 = 240 K A‡a©K mgvb
wظY wZb¸Y
DÏxcKwU co Ges 168 I 169 bs cÖ‡kœi DËi `vI: DËi: A‡a©K
†Kv‡bv Zvc Bwćbi ZvcMÖvn‡Ki ZvcgvÎv 360K Ges
1 – T2
`ÿZv 40%| [w`. †ev. 22] T1
e¨vL¨v: =
168. Zvc Dr‡mi ZvcgvÎv njÑ
1–
T2
400K 600K T1
720K 900K T1 – T2
=
DËi: 600K T1 – T2
169. Bwćbi `ÿZv wظY Ki‡Z n‡j Dr‡mi ZvcgvÎv e„w× 327 – 227
=
327 – 127
Ki‡Z n‡eÑ
1
450K 600K =
2
900K 1200K 1
DËi: 1200K =
2
wb‡Pi Aby‡”Q`wU co Ges 170 I 171 bs cÖ‡kœi wb‡Pi Aby‡”Q`wU co Ges 174 I 175 bs cÖ‡kœi
DËi `vI: DËi `vI:
GKwU Kv‡b©v BwÄb hLb 72C ZvcgvÎvi ZvcMÖvn‡K GKwU Kv‡b©v Bwćbi Kvh©wbe©vnK e¯‘ 400K ZvcgvÎvi
_v‡K ZLb Gi Kg©`ÿZv 40%| [Xv. †ev. 21] Zvc Drm n‡Z 840 J Zvc MÖnY K‡i ZvcMÖvn‡K 630
170. DÏxcK Abymv‡i Bwćbi Dr‡mi ZvcgvÎv KZ? J Zvc eR©b K‡i| [e. †ev. 21]
138 K 207 K 174. Zvc MÖvn‡Ki ZvcgvÎv KZ?
575 K 863 K 210 K 300 K
DËi: 575 K 400 K 440 K
171. MÖvn‡Ki ZvcgvÎv w¯’i †i‡L BwÄbwU‡K 60% `ÿ DËi: 300 K
Ki‡Z n‡jÑ Q T
e¨vL¨v: Q2 = T2
(i) Dr‡mi cwiewZ©Z ZvcgvÎv n‡e 862.5 K 1 1
630 T2
(ii) Dr‡mi ZvcgvÎv e„w× cv‡e 287.5 K =
840 400
(iii) Dr‡mi ZvcgvÎv n«vm 287.5 K
T2 = 300 K
wb‡Pi †KvbwU mwVK? 175. BwÄbwUi `ÿZv KZ?
i iii 25% 30%
i I ii i I iii 40% 60%
DËi: i I ii DËi: 25%
nd
38 HSC Physics 2 Paper Chapter-1
DÏxcKwU jÿ Ki Ges 176 I 177 bs cÖ‡kœi DËi `vI: 181. ZvcgvÎv cwieZ©b Kivi †ÿ‡ÎÑ
(i) Dr‡mi ZvcgvÎv e„w× Kivq Bwćbi `ÿZv ev‡o
dQ
–2
5
P = 3.5×10 Nm (ii) MÖvn‡Ki ZvcgvÎv n«vm Kivq Bwćbi `ÿZv ev‡o
(iii) Dfq †ÿ‡Î BwÄb Øviv K…Z KvR mgvb bq
X Y wb‡Pi †KvbwU mwVK?
wP‡Î wmwjÛv‡i iwÿZ 1 mole M¨v‡m dQ Zvc mieivn i I ii i I iii
Kivq wc÷b X Ae¯’vb n‡Z Y Ae¯’v‡b Av‡m| G‡Z ii I iii i, ii I iii
AšÍ¯’tkw³ 207J n«vm cvq| wc÷‡bi cÖ¯’‡”Q‡`i DËi: i, ii I iii
†ÿÎdj = 0.1 m2
X I Y Gi `~iZ¡ = 5 × 10–2 m. [wm. †ev. 21] DÏxc‡K P ~ V †jLwP‡Îi Av‡jv‡K 182 I 183 bs
176. m¤úbœ K…ZKvR KZ? wP‡Îi DËi `vI: [iv. †ev. ; h. †ev. 17]
1.75 × 103 J 1.75 × 105 J Q
7. × 105J 7 × 107 J I iæ×Zvcxq †jL
DËi: 1.75 × 103 J P
m‡gvò †jL
e¨vL¨v: dW = PdV
A
= 3.5 105 0.1 5 10–2 O
V
dW = 1750 J
177. wmwjÛv‡i mieivnK…Z Zvckw³ dQ Gi cwigvY njÑ 182. AQ †jLwP‡Îi †ÿ‡Î wb‡Pi †Kvb m¤úK©wU mwVK?
7.002 × 105 J 6.998 × 105 J PV = aªæeK PV = aªæeK
1.957 × 103 J 1.543 × 103 J PV–1 = aªæeK PV1–/ = aªæeK
DËi: 1.543 × 103 J
DËi: PV = aªæeK
e¨vL¨v: dQ = dU + dW
183. DÏxc‡Ki M¨vmwU nvB‡Wªv‡Rb n‡j AQ †jL Al †jL
= – 207 + 1750
A‡cÿv KZ¸Y Lvov n‡e?
dQ = 1.543 103 J
1.1 1.33
wb‡Pi Aby‡”Q`wU co Ges 178 I 179 bs cÖ‡kœi 1.4 1.66
DËi `vI: DËi: 1.4
GKwU Kv‡b©v BwÄb 327C I 27C ZvcgvÎv cwim‡i
KvR K‡i| BwÄbwU Drm n‡Z Q cwigvY Zvc MÖnY wb‡Pi DÏxc‡Ki Av‡jv‡K wb‡Pi 184 I 185 bs cÖ‡kœi
K‡i wms‡K 3000 J Zvc eR©b K‡i| [w`. †ev. 21] DËi `vI:
178. Q Gi gvb KZ? V+dV
V,Q V,Q+dQ Q+dQ
1000 J 1500 J dW = 2J
2000 J 6000 J 20C 80C 80C
A B C
DËi: 6000 J
[h. †ev. 16]
179. Bwćbi `ÿZv KZ?
184. dQ = 5J n‡j A †_‡K B-†Z AšÍt¯’ kw³i cwieZ©b
100% 75%
KZ?
50% 25%
–3 J 0J
DËi: 50%
3J 7 J
wb‡Pi DÏxcKwU co Ges 180 I 181 bs cÖ‡kœi DËi: 3J
DËi `vI: e¨vL¨v: dQ = dU + dW
GKwU Zvcxq BwÄb 27C I 227C ZvcgvÎvi g‡a¨ 5 = dU + 2
Kvh©iZ Av‡Q| cieZ©x‡Z Dr‡mi I MÖvn‡Ki ZvcgvÎv dU = 3 J
20C h_vµ‡g e„w× I n«vm Kiv n‡jv| [w`. †ev. 19] 185. hw` wZb Ae¯’vq wm‡÷gwUi AšÍt¯’kw³ h_vµ‡g UA,
180. ZvcgvÎv cwieZ©‡bi c~‡e© Bwćbi `ÿZv KZ? UB, UC nq Z‡e †KvbwU mwVK?
33.33% 40% UA = U B = U C UC = U B > U A
46% 66.67% UB < U C = U A U A = U B < UC
DËi: 40% DËi: UC = U B > U A
ZvcMwZwe`¨v Final Revision Batch 39
wb‡Pi Pvc ebvg AvqZb †jLwP‡Îi Av‡jv‡K 186 I
†miv K‡jRmg~n †_‡K evQvBK…Z MCQ
187 bs cÖ‡kœi DËi `vI:
Y 1. †gvjvi Zvc aviY ÿgZvi mgxKiY:
A
dQ dQ
C= C=
mdT dT
dQ dQ
C=M C=M
B mdT dT
Pvc, P
dQ
C
X DËi: C=
mdT
O AvqZb, V 2. GKwU Av`k© M¨v‡mi †ÿ‡Î Cp/Cv = n‡j, wb‡Pi †Kvb
[wm. †ev. 15]
m¤úK©wU GK †gv‡ji Rb¨ mwVK?
186. AB †jLwP‡Îi †ÿ‡Î †Kvb m¤úK©wU mwVK?
Cv = ( – 1)R Cv = R/( – 1)
PV – 1 = aªæeK PV = aªæeK
Cv = R/(1 – ) Cv = R/(1 + R)
PV – 1 = aªæeK PV = aªæeK
DËi: Cv = R/( – 1)
DËi: PV = aªæeK
3. GKwU Kv‡b©v Bwćbi Rb¨ hw` Zvc Dr‡mi ZvcgvÎv
187. AC †jLwP‡Îi †ÿ‡Î †Kvb m¤úK©wU mwVK?
AcwiewZ©Z †i‡L Zvc MÖvn‡Ki ZvcgvÎv ax‡i ax‡i
PV = aªæeK PV – 1 = aªæeK
+1
Kgv‡bv nq, Zvn‡j Bwćbi Kg©`ÿZv †Kgbfv‡e
PV = aªæeK PV = aªæeK cwiewZ©Z n‡e?
DËi: PV = aªæeK e„w× cvq AcwiewZ©Z _v‡K
wb‡Pi DÏxc‡Ki Av‡jv‡K 188 I 189 bs cÖ‡kœi Kg‡Z _vK‡e ejv m¤¢e bq
DËi `vI: DËi: e„ w× cvq
GKwU Zvc BwÄb 327C ZvcgvÎvq 500J Zvc MÖnY 4. 0C ZvcgvÎvq cvwb‡K ev®úxf~Z Kiv †h‡Z cv‡i, hw`
K‡i Ges 27C ZvcgvÎvq Zvc eR©b K‡i| wKQz mgq cvwicvwk¦©K Pvc nqÑ
ci ZvcMÖvn‡Ki ZvcgvÎv 177C-G DbœxZ nq| 760 mm of Hg 76 mm of Hg
[Xv. †ev. 15] 40 mm of Hg 4 mm of Hg
188. BwÄb KZ…©K m¤úvw`Z Kv‡Ri cwigvY KZ? DËi: 76 mm of Hg
1500 J 1000 J 5. †Kvb Zvc-hyM‡ji Rb¨ wb‡Pi gšÍe¨¸‡jvi g‡a¨ †KvbwU
500 J 250 J mwVK bq?
DËi: 250 J †Kvb GKwU wbw`©ó Zvc-hyMj †m‡Ui Rb¨ wbi‡cÿ
Q T ZvcgvÎv w¯’i _v‡K
e¨vL¨v: Q2 = T2
1 1 wbi‡cÿ ZvcgvÎv kxZj ms‡hv‡Mi ZvcgvÎvi Dci
Q2 300 wbf©i K‡i bv
=
500 600 Drµg ZvcgvÎv kxZj ms‡hv‡Mi ZvcgvÎvi Dci
Q2 = 250 J wbf©i K‡i bv
W = Q 1 – Q2 wbi‡cÿ ZvcgvÎvq m‡e©v”P Zvcxq Zwor”PvjK kw³
= (500 – 250)
(thermo-e.m.f.) cvIqv hvq
W = 250 J
DËi: Drµg ZvcgvÎv kxZj ms‡hv‡Mi ZvcgvÎvi Dci
189. `yB Ae¯’vq Bwćbi Kg©`ÿZvi AbycvZ KZ?
wbf©i K‡i bv
3:4 1:1
6. mvaviY Pvc e„w×i d‡j ùzUbvsKÑ
2:3 2 : 1
DËi: 2:1 n«vm cvq AcwiewZ©ZZ _v‡K
e„w× cvq Gi †KvbwUB bq
wb‡Pi DÏxc‡Ki Av‡jv‡K 190 I 191 bs cÖ‡kœi DËi: n«vm cvq
DËi `vI: 7. 1000C ZvcgvÎvi AwaK ZvcgvÎv cwigvcK h‡š¿i
GKwU Kv‡b©v BwÄb 600 K ZvcgvÎvi Zvc Drm †_‡K bvg wK?
1200 J Zvc MÖnY K‡i Ges Zvc MÖvn‡K 300 J Zvc
K¨vjwiwgUvi cvi` _v‡g©vwgUvi
eR©b K‡i| [h. †ev. 15]
cvB‡ivwgUvi A¨vj‡Kvnj _v‡g©vwgUvi
190. ZvcMÖvn‡Ki ZvcgvÎv KZ?
DËi: A¨vj‡Kvnj _v‡g©vwgUvi
150 K 300 K
600 K 2400 K 8. GKwU c`v_© †_‡K Ab¨ c`v‡_©i Zv‡ci cÖevn wbf©i K‡iÑ
DËi: 150 K c`v‡_©i AvK…wZi Dci
191. Bwćbi `ÿZv KZ? ZvcgvÎvi cv_©‡K¨i Dci
44% 50% evqy gÛ‡ji ZvcgvÎvi Dci
60% 75% Dc‡ii †KvbwUB bq
DËi: 75% DËi: ZvcgvÎvi cv_©‡K¨i Dci
nd
40 HSC Physics 2 Paper Chapter-1
9. mxmvi Mjbv¼ 327C Ges mxmv Mj‡bi jxb Zvc 5.86 16. †jLwP‡Î, X Øviv GKwU M¨v‡mi cÖv_wgK Ae¯’v †`Lv‡bv
cal/gm nB‡j 4 gm.mol mxmv Mj‡Z GbUªwci n‡”Q| †jLwP‡Î †Kvb †iLvwU GKwU cÖwµqvq M¨vmwU Øviv
cwieZ©b KZ n‡e? mxmvi cvigvYweK IRb 207| ev M¨v‡mi Dci †Kvb KvR Kiv n‡”Q bv wb‡`©k K‡i|
8.1 cal/K 1.38 cal/K
14.8 cal/K None P B
DËi: 8.1 cal/K C
A
ml
e¨vL¨v: dS = T f X
D
4 207 2.86 V
=
(273 + 327) XA XB
dS = 8.1 cal/K XC XD
10. hLb Zzwg †Zvgvi Av½yj w`‡q GK LÛ VvÛv eid‡K PV = constant T = constant
¯úk© Ki ZLb kw³ cÖevwnZ nqÑ DËi: XB
†Zvgvi Av½yj †_‡K ei‡di w`‡K 17. dv‡ibnvBU †¯‥‡j †Kvb e¯‘i ZvcgvÎv 50F n‡j
eid †_‡K †Zvgvi Av½y‡ji w`‡K †Kjwfb †¯‥‡j H ZvcgvÎv n‡eÑ
cÖK…Z c‡ÿ Dfq w`‡K 273 K 283 K
None of these
290 K 300 K
DËi: †Zvgvi Av½yj †_‡K ei‡di w`‡K DËi: 283 K
11. GKwU Mvwo Pj‡Z _vK‡j Gi Uvqv‡ii wfZi GKwU
18. GKwU Kv‡b©v BwÄb 800K I 400K ZvcgvÎvq †h
ZvcMZxq cÖwµqv P‡j| GB cÖwµqvwU n‡jvÑ
`ÿZvi KvR K‡i, wVK mg`ÿZvi KvR K‡i T I
mgAvqZb cÖwµqv m‡gvò cÖwµqv
900K ZvcgvÎvq| ZvcgvÎv T Gi gvb KZ?
iƒ×Zvcxq cÖwµqv mgPvc cÖwµqv
900 K 450 K
DËi: mgAvqZb cÖwµqv
1800K 500K
12. wb‡¤œi †Kvb mgxKiYwU ZvcMwZwe`¨vi Rb¨ mwVK?
DËi: 1800K
dQ = W Cp – Cv = aªæeK
–1 e¨vL¨v: 1 = 2
TV = aªæeK PV = R
T2 T4
DËi: TV–1 = aªæeK 1– =1–
T1 T3
13. †h cÖwµqvq †Kvb wm‡÷‡gi ZvcgvÎv w¯’i †i‡L M¨vmxq
400 900
c`v‡_©i Pvc I AvqZ‡b cwieZ©b NUv‡bv nq, Zv wb‡¤œ =
800 T
D‡jøwLZ †Kvb cÖwµqv? T = 1800 K
ZvcMZxq mgPvc 19. †Kvb e¨w³ ce©‡Zi P~ovq cvwb dzUv‡Z PvB‡j cvwbi
m‡gvò iæ×Zvcxq cv·K †h ZvcgvÎvq DËß Ki‡Z n‡e ZvÑ
DËi: m‡gvò
higher than 100C
14. evB‡ii kw³i mvnvh¨ Qvov †Kvb ¯^qswµq h‡š¿i c‡ÿ
lower than 100C
wb¤œ DòZvi e¯‘ n‡Z D”PZi DòZvi e¯‘‡Z Zv‡ci
to 100C
¯’vbv¯Íi m¤¢e bq| GwU †Kvb wee„wZ?
cannot be determined
†Kjwf‡bi wee„wZ Kv‡b©vi wee„wZ
DËi: lower than 100C
K¬wmqv‡mi wee„wZ cø¨v‡¼i wee„wZ
20. cvwb eid I Rjxq ev®ú †h ZvcgvÎvq GKm‡½ _vK‡Z
DËi: K¬wmqv‡mi wee„wZ
cv‡i Zv n‡jvÑ
15. wb‡¤œi †KvbwU AcÖZ¨vMvgx cÖwµqv bq?
e¨vcb cwiPjb 2C 273.16 K
wewKiY cÖwZmiY 100C 4C
DËi: cÖwZmiY DËi: 273.16 K
---
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