ish¨ u m%Yakj,g ms<s;=re imhkak'

01. laIu;djfha udk jkafka l=ula o@

(1) M (2) M (3) M (4) M (5)

02. my; i|yka rdYs w;ßka wdfõ.fha tallj,g iudk tall we;af;a"
(1) ld¾hhg h' (2) laIu;djhg h' (3) .uH;djhg h' (4) n, >Q¾Khg h' (5) mSvkhg h'

03. fuys ^1& rEmfhka ±lafjkafka j¾ksh¾

le,smrhl mßudKfha fldgils' tys m%Odk 5 6
mßudK fnÿul w.h 1 mm ls' fuu
wjia:dfõ § le,smrfhka ±lafjk ñkqu
l=ula o@
(1) 4.77 mm (2) 4.735 mm
(3) 47.07 mm (4) 47.35 mm 0 10 20
(5) 47.70 mm ^1& rEmh

04. flaYsl k<hla ;=< øj udjlh W;a;, jkafka" iam¾Y fldaKh

. (1) 900 g jvd úYd, kï muKs' (2) 900 g jvd l=vd kï muKs' (3) 900 g iudk kï muKs'
0
(4) 45 g iudk kï muKs' (5) 00 g iudk kï muKs'

05. A yd B kï øjH folla i|yd m%;Hdn,-úl%shd igyk rEmfha fmkajd we;' tu jl% fol u.ska wkqudk
l< yelafla¦
(1) A Nx.+r jk kuq;a B ;kH jk nj h' A
m%;Hdn,h

(2) A ;kH jk kuq;a B Nx.+r jk nj h'

(3) A yd B folu ;kH jk nj h' B
(4) A yd B folu Nx.+r jk nj h'
(5) A yd B folu ;kH fyda Nx.+r fyda fkd jk nj h'
úl%shdj

06. isis,k l%ufhka øjhl úYsIag ;dm Odß;dj fiùfï mÍlaIKhl § 10 cm muK Wie;s le,ßógrhlg
øjh ±ñh hq;= jvd;a iqÿiq m%udKh oelafjkafka my; l=uk wjia:dfjka o@

(1) (2) (3) (4) (5)

7 ialkaOh m jk u fõ.hlska .uka .kakd fnda,hla ì;a;shl je§fuka miq mQ¾K m%;Hdia:j fmd,d
mkshs' ì;a;sh iy fnda,h w;r m%;sl%shdj my; m%ia:drfha mßÈ úp,kh fõ...F0 ys w.h jkafka"
(1) F

( )

( )

( )

( )
t
0 𝑇 T

08. y`vj,a ;=klg wod<j tlu mßudKhg iSreudre l< lef;dav lsrK foda,fkalaIhlska ,nd .;a ;rx. rgd
;=kla my; P, Q yd R u.ska ±lafõ'

P Q R
fuu ;rx. rgdjka yd iïnkaOj isÿ lr we;s my; m%ldY i,ld n,kak'
(A). P yd Q ys úmq,;djhka fjkia jk w;r ;dr;djhka iudk fõ'
(B). P yd R ys èjks .=Khka fjkia jk w;r ;dr;djhka iudk fõ'
(C). P yd R ys úmq,;djhka iudk jk w;r ;dr;djhka fjkia fõ'
by; m%ldYj,ska i;H jkafka"
(1) (A) muKs' (2) (B) muKs' (3) (C) muKs' (4) (A) yd (B) muKs' (5) (B) yd (C) muKs'

09. idudkH mßirfha § ksh; ;dm iemhqula u.ska >k øjHhla jdIam jk f;la r;a lrk ,§' bkamiq
isis,aùug o bv yßk ,§' tu wjia:d fofla § ld,h;a iu`. WIaK;ajh úp,kh jk wdldrh jvd;a
ksjerÈj ±laùug WÑ; m%ia;dr wh;a jrKh my; j.=fjka f;darkak'
   

t t t t
(a) (b) (c) (d)


r;a lrk úg § isis,a jk úg §
(1) (a) m%ia;drh (d) m%ia;drh
(2) (b) m%ia;drh (d) m%ia;drh
(3) (c) m%ia;drh (d) m%ia;drh
(4) (b) m%ia;drh (e) m%ia;drh t
(5) (c) m%ia;drh (e) m%ia;drh (e)
10. ialkaOh M jk WKqiqï jdhq neÆkhla a ;ajrKhlska isriaj my<g .uka lrñka mj;S. ne¨kfhka m
ialkaOhla bj;a l< miqj th a ;ajrKhlska by< ke.Sug mgka .kshs kï m ys w.h fldmuK úh hq;=
o@
( ) ( )
(1) (2) (3) (4) (5)

11. i¾jiu A yd B Odß;%l folla K újD; iaúÉÑhla u.ska

iïnkaO lr we;' wdrïNfha oS Ag q wdfrdamKhla ,nd oS A B
we;s w;r B wkdfrdams; fõ' iaúÉÑh jid m%udKj;a
q + -
+ -
ld,hla ;enQ miq A yd B ys wdfrdamK fudkjd o@ + - K
+ -
C C
(1) (2) (3) (4) (5)
A q q/2 0 q 0
B q q/2 q 0 0

12. ialkaOh M jk fmÜáhla v fõ.hlska .uka .kakd m%jdyk máhla u; iSrefjka ;nkq ,efí. máh iy
fmÜáh w;r >¾IK ix.=Klh fõ. fmÜáh máh iu. tlaj p,s;h wrUk f;la fldmuK ÿrla máh
u; ,siaid hhs o@

(1) ( ) ( ) ( ) ( )

13. idfmalaI wd¾ø;dj b;d wvq úh<s Èkl § rEmfha oelafjk

mßÈ mÍlaIKd.drh ;=< ;nd we;s A, B yd C kï i¾jiu
n÷kaj, ms<sfj<ska c,h" uOHidrh yd c,h iudk mßud
we;' A n÷k újD;j we;s w;r B yd C ixjD; fõ' mßir
WIaK;ajh 1 ys ksh;j mj;akd w;r ál fõ,djlg miq
ksÍCIKfha § A, B yd C n÷kaj, we;s øjj, WIaK;aj
A B C
ms<sfj<ska 2 , 3 yd 4 fõ'
fuu WIaK;aj iïnkaOfhka i;H jkafka my; l=uk
m%ldYh o@
(1) 1 = 2 = 3 =4 (2)1 > 4 > 3 >2 (3)1 = 4 > 3 >2 (4)1 > 4 > 2 >3 (5)1 = 4 = 3 >2

14. ksrfmalaI j¾;kdxl n1, n2, n3, yd n4 jk udOH lsysmhla Tiafia

wdf,dal lsrKhla j¾;kh ù .uka lrk wdldrh rEmfha ±lafõ' n3
fuys x ys oS isÿ jkafka mQ¾K wNHka;r mrdj¾;khls' rEmhg x
wkqj udOHj, j¾;kdxl w;r iïnkaO;djh ksjerÈj ±lafjkafka
l=uk jrKfhka o@ ^fuys n1 hkq jd;fha j¾;kdxlhhs'&
(1) n1  n3  n2  n4 (2) n1  n2  n3  n4 n1 n2 n4
(3) n4  n3  n2  n1 (4) n1  n3  n4  n2
(5) n1  n2  n3  n4 n3

15. ixLHd;h 255 Hz jk A kï iriq,la iu`. B kï iriq,la lïmkh l< úg we;s jk kq.eiqï
ixLHd;h 3 Hz úh' B iriqf,a tla ±;a;lg l=vd f,day uqÿjla iú lr A iriq, iu`. lïmkh l< úg
kq.eiqï ixLHd;h 2 Hz úh' f,day uqÿj iú l< miq B iriqf,a ixLHd;h l=ula úh yels o@
(1) 258 Hz (2) 257 Hz (3) 253 Hz
(4) 258 Hz fyda 252 Hz (5) 257 Hz fyda 253 Hz

16. 05. ;srig 6o lska wdk; lkaol jQ ud¾.hla Tiafia ialkaOh 2 000 kg la jk fudag¾ r:hlg by< foig
.uka l< yels Wmßu fõ.h 36 km h-1 ls' ud¾.fha >¾IK ix.=Klh 1/6 la fõ kï" fudag¾ r:fha
laIu;djh fldmuK o@ ^sin 6o = 0.1 o" cos 6o = 0.99 o nj i,lkak'&
(1) 36 kW (2) 53 kW (3) 60 kW (4) 72 kW (5) 106 kW
17. jia;=jl p,s;hg wod< m%fõ.  ld, m%ia;drhla o" jia;= lsysmhl p,s;
wjia:d my; m%ldYj,ska o ±lafõ' v

(A). ÿiai%dù ;r,hla ;=<ska ksi,;djfha isg my<g jefgk f,day

f.da,hl p,s;h'
(B). iudldr r¿ ud¾.hla Tiafia fudag¾ r:hla ksYap,;djfha isg Wmßu
laIu;djfhka hq;=j .uka lsÍu' t
(C). .%dylhla wNHjldYfha isg mDÓú mDIaGfha .efgk f;la .uka lsÍu'

by; p,s;j,ska fuys m%ia;drfhka ±lafjk wdldrfha p,s;hla $ p,s; jkafka l=ula o@
(1) (A) muKs' (2) (B) muKs' (3) (A) yd (B) muKs'
(4) (A) yd (C) muKs' (5) (A), (B) yd (C) hk ish,a,u'

18. fvdma,¾ wdprKh wdo¾Ykh lsÍu i|yd Ndú; lrk /<s;s gexlsfha
ksh; ixLHd;fhka lïmkh jk oe;a;la ksid yg.;a c, ;rx.
fmruqKq rEmfha oelafõ' oe;a; ol=Kq foig ksh; ;ajrKhlska
p,kh lrk úg c, ;rx. fmruqKqj, iajrEmh oelafjk rEmh l=ula
o@

(1) (2) (3)

(4) (5)

19. mDÓú mDIaGh u; isria ;,hl jQ LKavdxl moaO;shl (0,1) ,laIHfha isg (4,9) ,laIHh foig fhduqj
we;s ÈYdjla Tiafia wxY=jla m%lafIamKh lrk ,§' m%lafIamK fudfydf;a isg 1 s lg miqj th x wlaIh
u; m;s; úh' m;s; jQ ,laIfha LKavdxl jkafka l=ula o@
(1) (3,0) (2) (4,0) (3) (2,0) (4) ( √ ) (5) (1,0)
20. iumdo ;%sfldaKhl uOH ,laIHfha Q kï ,laISh wdfrdamKhla ;nd we;af;a ;%sfldaKfha YS¾Ij, iudk
+q kï ,laIsh wdfrdamK ;=kla ;enQ úg moaO;sh iu;=,s; jk mrsosh' Q ys w.h fidhkak'
(1) (2) (3) (4) (5)
√

21. rEmfha olajd we;s mßm:fha iEu m%;sfrdaOhla u

R ne.ska jk w;r vfhdav mßmQ¾K fõ'
fldaIfha wNHka;r m%;sfrdaOh Y+kH jk w;r
úoHq;a .dul n,h E kï" fldaIh imhk Odrdj
fldmuK o@
(1) (2)

(3) (4)

(5)
22. tlsfklg 1 cm mr;rhlska ;enQ iudka;r ikakdhl ;yvq
folla rEmfha mßos ;sria j ;nd by< ;yvqjg +400 V +400 V
úNjhla ,nd oS we;s w;r my< ;yvqj N+.; lr we;'
1 cm
ialkaOh 0.16 mg jQ f;,a ìxÿjla ;yvq w;r iu;=,s;j
mj;S' bf,lafg%dakhl wdfrdamKh -1.6×10-19 C kï f;,a f;,a ìxÿj
ìxÿfõ we;s bf,lafg%dak ixLHdj fldmuK o@

(1) 2.5×108 (2) 2.5×109 (3) 2.5×1010 (4) 2.5×1011 (5) 2.5×1012

23. tAldldr úoHq;a lafIa;%hla ;=< wdrïNfha oS ksYap,j ;enQ ialkaOh me jk bf,lafg%dakhla t1 ld,hla ;=<
hï ÿrla p,kh fõ' ialkaOh mp jQ fm%dafgdakhla by; lafIa;%h ;=<u ksYap,;djfhka wrUd t2 ld,hla
;=< oS tu ÿr u p,kh fõ' my; l=uk m%ldYkh u.ska wkqmd;h ,nd foa o@ fuys § .=re;ajdl¾IK
n, fkdi,ld yeßh yels nj i,lkak'

(1) (2) (3) √ (4) √ (5) 1

24. >k;ajh 1.5 g cm-3 jk ÿiai%dù øjhla ;=< § r;a;rka f.da,hl wdka; m%fõ.h 0.2 m s-1 fõ' iudk wrhla
we;s ßoS f.da,hl tu øjh ;=< § u wdka; m%fõ.h l=ula o@ r;a;rka iy ߧj, >k;aj ms<sfj<ska 19.5 g
cm-3 yd 10.5 g cm-3jk nj i,lkak'
(1) 0.10 m s-1 (2) 0.13 m s-1 (3) 0.20 m s-1 (4) 0.30 m s-1 (5) 0.40 m s-1

25. kdNSh ÿr 60 cm jk wNsidÍ ldphla u.ska ;d;aúl jia;=jl idok úYd,kh 2 jQ m%;sìïn fol w;r ÿr
fldmuK o@
(1) 240 cm (2) 180 cm (3) 120 cm (4) 60 cm (5) 30 cm

26. ¥r oDIaÀl;aj fodaIfhka fmf<kafkl= wkka;fha we;s jia;=jla foi

n,k úg m%;sìïnh iEfok whqre rEmfha ±lafõ' Tyq" Tyqg myiqfjka
±l .; yels <`.u we;s jia;=jla (X) foi yd kSfrda.S mqoa.,fhl=g
wod< úYo oDIaÀfha wju ÿßka msysá jia;=jla (Y) foi n,k
wjia:dj,g wod< lsrK igyka fol ms<sfj<ska jkafka my; tajdhska
l=uk wjia:d o@

(1) A yd C
(2) A yd D X
(3) B yd C X
(4) B yd D A B
(5) B yd E

Y Y

C D

27. pqïnl lafIa;% ;Sj%;djh B = 0.5 T jQ taldldr pqïnl

lafIa;%hla rEmfha ±lafjk mßÈ mßm:hg ,ïnlj l%shd
lrhs' È. 0.25 m jQ taldldr oKavla 4 m s-1 ksh; B
m%fõ.hlska rEmfha ±lafjk ÈYdjg i¾mKh fõ' oKafâ
m%;sfrdaOh 2  o" wfkla iïnkaOl lïìj, m%;sfrdaOh
fkd.sksh yels o kï" oKav ;=<ska .,k Odrdj fldmuK o@ 2 12 
4
(1) 0.01A (2) 0.08A (3) 0.1A
(4) 0.17A (5) 0.18A
28. fok ,o f,day mDIaGhlska m%ldY úoHq;a wdprKh isÿúh yels úoHq;a pqïnl ;rx.fha Wmßu ;rx.
wdhduh 250 nm la fõ' m;s; jQ ;rx.fha ;rx. wdhduh 200 nm la jk úg uqla; jk bf,lafg%dakhla
i;= Wmßu pd,l Yla;sh fldmuK o@ (h = 6.62 × 10-34J s, c = 3.0 × 108 m s-1 )

(1) 89.61 ×10-20 J (2) 69.81 ×10-20 J (3) 18.96 ×10-20 J (4) 19.86 ×10-20 J (5) 89.81 ×10-20 J

29. á%áhï ( ) iE§ we;s uQ,sl wxY= oelajkafka my; ljrla uÕska o@
(1) 5 up – lajdla" 4 down – lajdla iy bf,lafg%dakhla
(2) 4 up - lajdla" 5 down - lajdla iy bf,lafg%dakhla
(3) 2 up - lajdla" 4 down - lajdla iy bf,lafg%dakhla
(4) 4 down - lajdla" 4 up - lajdla iy bf,lafg%dakhla
(5) 5 down - lajdla" 2 up - lajdla iy bf,lafg%dakhla

30. yrialv j¾.M,h 10-6 m2 jk ;U lïìhla ;=<ska 0.5 A l úoHq;a Odrdjla /f.k hhs' ;Uj,
m%;sfrdaOl;dj 1.8×10-8 Ω m kï" lïìfha fofl<jr yryd we;s úoHq;a lafIa;% ;Sj%;dj l=ula o@
(1) 90 V m-1 (2) 9 V m-1 (3) 0.9 V m-1 (4) 0.09 V m-1 (5) 0.009 V m-1

31. isiqfjl= úiska flá taldldr oKavla ;srig wdk;j m%lafIamKh lrk wdldr folla my; mßÈ fõ. m<uq
wdldrfha § oKafâ fl<jrla yryd wdrïNl m%fõ.h ,nd fok w;r fojk wdldrfha § oKafâ uOH
,laIHh yryd wdrïNl m%fõ.h fokq ,nhs. by; wjia:d fol iïnkaOfhka jk my; m%ldY i,ld
n,kak.

A- m<uq wdldrfha § oKav N%uKh fjñka .uka .kakd w;r fojk wdldrfha § N%uKhlska f;drj .uka
.kS'
B- wdldr fofla § u oKafâ ialkaO flakaøh mrdj,hsl ud¾.hl .uka .kS'

C- m<uq wdldrfha § oKafâ ialkaO flakaøh mrdj,hsl ud¾.hl .uka fkd.kakd w;r fojk wdldrfha
§ muKla mrdj,hsl ud¾.hhl .uka .kS'
by; m%ldY j,ska i;H jkafka"
(1) A mu‚' (2) B mu‚' (3) C muKs' (4) A iy B mu‚' (5) A iy C mu‚'

32. N+ ia:djr pkaøsldjla mD:Sú mDIaGfha isg 6R Wilska llaI.; lr we;' fuys R hkq mD:Súfha wrh fõ'
mD:Sú mDIaGfha isg 2.5R Wilska llaI.; lr we;s fjk;a pkaøsldjl ld,dj¾;h mehj,ska fldmuK o@

(1) √ (2) (3) √ (4) (5)

33. ndysr wrh 4a yd wNHka;r wrh 3a jk l=yr f.da,hl uq¿ mßudfjka 3$4 la c,h ;=< .s,S mdfõ'
f.da,fha l=yrh iïmQ¾Kfhka u bá úfYaIhlska msrjQ úg th iïmQ¾Kfhka u c,fha .s,S mdfõ kï
báj, idfmalaI >k;ajh fldmuK o@
(1) 48/37 (2) 27/37 (3) 27/48 (4) 16/27 (5) 16/37

34. wju È.lska hqla; jkfia iE¥ WIaK;ajudkhl mdGdxl meyeÈ,sj lshjd .ekSu i|yd" WIaK;ajudkfha
wkqhd; ñkqï f¾Ld folla w;r wju mr;rh 0.5 mm úh hq;= h' tf,i jQ riÈh WIaK;ajudkhl l=vdu
ñkqu 0.1 0C o" l%udxls; mrdih 0 0C isg 50 0C o fõ' riÈfha mßud m%idrK;dj 2 x 10- 4 0C-1 o" flaIsl
isÿf¾ yrialv j¾.M,h 0.02 mm2 o kï" 0 0C § WIaK;ajudkfha wka;¾.; jk riÈh mßudj fldmuK
úh hq;= o@
(1) 0.25 cm3 (2) 0.50 cm3 (3) 1.00 cm3 (4) 2.00 cm3 (5) 5.00 cm3
35. ;dm Odß;dj 830 J K-1 jQ fyd¢ka ;dm mßjrKh l< n÷kla ;=< 30 ŸC WIaK;ajfha we;s c, 600 g la
wvx.= fõ' fuu n÷k ;=<g 0 ŸC whsia 450 g la tl;= lrk ,§' ál fõ,djlg miq moaO;sfha ;sìh yels
Wmßu c, mßudj wdikak jYfhka fldmuK o@ ^c,fha úYsIag ;dm Odß;dj 4200 J kg-1 ŸC-1 o" whsiaj,
ú,hkfha úYsIAg .=ma; ;dmh 335 kJ kg-1 o" c,fha >k;ajh 1000 kg m-3 o fõ'&
(1) 750 ml (2) 775 ml (3) 850 ml (4) 900 ml (5) 1 050 ml

36. mßmQ¾K jdhqjla ;dm.;sl ls%hdj,s ;=klg Ndckh l< úg ,efnk

P (kPa)
;dm.;sl jl% ;=kla rEmfha ±lafõ' fïjdhska ifudaIaK ls%hdj,shla A
yd iaÓr;dmS ls%hdj,shla ms<sfj<ska olajk jl% jkafka" 600

(1) AB jl%h yd AC jl%h u.ska h'

400
(2) AB jl%h yd AD jl%h u.ska h' B
(3) AC jl%h yd AB jl%h u.ska h' C
200
(4) AC jl%h yd AD jl%h u.ska h'
D
(5) AD jl%h yd AB jl%h u.ska h'
V (m3)
2 4 6 8 10

37. ialkaOh M yd wrh R jk is,skavrh;a rEmfha oelafjk mßÈ h Wie;s .eÜfgka by<g fmr,Su i|yd
wjYH jk wju n,h jkafka
√( ( ) )
(1)

√( )
(2)

(3)

√( ( )
(4)

√( ) )
(5)

38. ABC iumdo m%siaufha AB odrh iu`. iam¾Y jk fia O w,afmfk;a;la A

isgqjd we;' O ys isg AC mDIaGh u; wjê fldaKfhka m;kh ù
mQ¾K wNHka;r mrdj¾;kfhka miq BC j,ska ks¾.; jk lsrKhla O
rEmfha oelafõ' AC mDIaGh u; c, ìxÿjla u.ska ùÿre lodjla w,jk
,§' túg ùÿre - c, w;=re uqyqK;g wod< wjê fldaKfhka m;s; ù mQ¾K
wNHka;r mrdj¾;kh jQ lsrKh olajk rEmh l=ula o@ ^ùÿre  c, B C
w;=re mDIaGh i|yd wjê fldaKh 63o ls'&
A A A A A

O O O O O

B C B C B C B C B C

(1) (2) (3) (4) (5)

39. iQ¾hhdf.a" mD:súfha iy pkaøhdf.a ialkaO ms<sfj,ska MS, ME iy Mm fõ' iQ¾hhd iy mD:súh w;r ÿr d o
pkaøhd iy mD:súh w;r ÿr r o fõ' id¾j;% .=re;ajdl¾IK ksh;h G kï" mQ¾K pkaø.%yKhl oS iQ¾hhd
iy mD:súh u.ska pkaøhd u; we;sjk iïm%hqla; .=re;ajdl¾IK n,h ,nd fok ksjeros m%ldYkh l=ulao@

(1) ( )
(2) ( )

(3) (4)
( )

(5)
( )

4V R K1
40. rEmfha mßÈ ir, úNjudk mßm:hlg m%;sfrdaOh 2 Ω yd
È. (AB) 1 m la jQ taldldr lïìhla iú lr we;' úoHq;a
.dul n,h 4 V jk Bhï wï, negßfha wNHka;r
m%;sfrdaOh fkd.sKsh yels ;rï l=vd fõ' fuys we;s úp,H C
A B
m%;sfrdaOfha w.h 2.4 la jk úg ueo ìxÿ 1.5 V
.e,ajfkdaógrfha W;al%uKh Y+kH ùug kï" AC g ;sìh G
hq;= È. fldmuK o@
(1) 8.2 cm (2) 8.5 cm (3) 67.5 cm (4) 82.5 cm (5) 85.0 cm

41. Yla;sh E jQ f*dafgdakhla ld¾h Y%s;h o jQ f,day mDIaGhla u; m;s; fõ' túg uqla; jk iaKl3kaOh m yd
K
wdfrdamKh e jQ bf,lafg%dakhla pqïnl i%dj >k;ajh B jQ taldldr pqïnl lafIa;%h2 lg ,ïnlj we;=,a ù
jD;a;dldr m:hl .uka lrhs' tu m:hg ;sìh yels Wmßu wrh ksjerosj oelajkafka my; ljr m%ldYkh
uÕskao@

√ ( ) ( ) ( ) √ ( ) ( )
(1) (2) √ (3) √ (4) (5)

42. tlsfklg 6 m ÿßka jQ A yd B ,lIH foll +q1 yd +q2 ,laISh +Q

wdfrdamK folla ;nd we;' C ys we;s +Q wdfrdamKhla wrh 8 C
m jQ jD;a;dldr m:hla Tiafia C isg D olajd f.k hk ,oS'
moaO;sfha úNj Yla;s fjkiaùu my; l=uk m%ldYh u.ska ,nd
fohs o@
8m
(1) [ ] (2) [ ]

(3) [ ] (4) [ ] +q1 +q2

A 6m B D
(5) [ ]

E
43. wNHka;r m%;sfrdaOh r yd úoHq;a .dul n,h E jk úh<s r
fldaIhla iys; mßm:hlg iú lr we;s ndysr m%;sfrdaOh (R) B
A V
4  la fõ' tys S iaúÉÑh újD;j we;s úg mßmQ¾K
fjda,aÜógrfha mdGdxlh 10 V jk w;r S iaúÉÑh ixjD; l< S
úg tys mdGdxlh 8 V fõ' fldaIfha wNHka;r m%;sfrdaOfha R
w.h l=ula o@
(1) 0.05 Ω (2) 0.1 Ω (3) 0.5 Ω (4) 1.5 Ω (5) 1 Ω
44. m%;sfrdaO moaO;shla iys; fuu mßm:fha oelajk mßmQ¾K weógrfha
mdGdxlh ksjerosj oelajk jrKh f;darkak' 2Ω
(1) 2.0 A (2) 2.5 A (3) 3.5 A
(4) 4 A (5) 6.0 A 6Ω A 3Ω

3Ω 6Ω

(14 V, 1 Ω)

45. my; oS we;s SR ms<sfmdf,ys S iy R m%odk i|yd ,ndfok ix{d wkql%uhl ld, rEm igyka my;
oelafõ'

S Q
S
R 𝑄
R
my; l=uk rEmh u.ska Q i|yd ,efnk m%;sodk ix{dj ,nd fohs o@

(1)

(2)

(3)

(4)

(5)

46. rEmfha ±lafjk mßÈ uDÿ hlv j<,a,la kQ,lska isriaj


t,a,d we;s w;r tys wlaIh mßkd,sldjl wlaIh iu`.
taldlaIj we;' ld,h to jk úg iaúÉÑh ixjD; lr
mßkd,sldj ;=<ska úoHq;a Odrdjla .,d hdug i,iajkq ,efí'
my; i|yka l=uk m%ia;drh u.ska ld,h (t) iu`. j<,af,a wlaIh
isria ;,h isÿ lrk fldaKsl úia:dmkfha ( ) úp,kh
ksjerÈj ksrEmKh fõ o@ mßkd,sldj j<,a,
  

t t t
to to to

 (1)  (2) (3)

t t
to to

(4) (5)
47. rEmfha oelafjkafka ldrld;aul j¾Olhla iys; fjda,aàh;d ixikaol mrsm:hls' fik¾ vfhdavfha
fik¾ fjda,aàh;dj (VZ) 3 V fõ' wmj¾;k fkdjk m%odkhg Vin fjda,aàh;d ix{dj ,nd ÿka úg m%;sodk
ix{dj l=ula o@

-
+

Vout Vout Vout

t t t

(1) (2) (3)

Vout Vout

t t

(4) (5)
2Ω
A1
48. rEmfha oelafjk mßm:fha A1 yd A2 hkq mßmQ¾K weógr
fõ' R hkq úp,H m%;sfrdaOlhls' R ys m%;sfrdaOh Y=kHfha
A2
isg wkka;h olajd úp,kh lrk úg A1 yd A2 weógrj,
R
mdGdxl (I), R iuÕ úp,kh jk wdldrh ksjerÈj
±lafjkafka l=uk m%ia;drfhka o@
2Ω 6V
I (A) I (A) I (A) I (A) I (A)
3 3 3 3 3 A2
A1 A2
A1 A1

A2 A2 A1 A2
A1
R (Ω) R (Ω) R (Ω) R (Ω) R (Ω)
(1) (2) (3) (4) (5)
49. wrh r iy 2r jk w¾O jD;a;dldr ikakdhl mqvq folla
rEmfha mßÈ iïnkaO lr thg 11 A úoHq;a Odrdjla imhd
we;' mqvq tlu lïì j¾.fhka idod we;' mqvqfõ fmdÿ
flakaøfha pqïnl i%dj >k;ajh jkafka" 11 A
^ = 3 nj i,lkak'& AA
(1) lvodish ;=<g 50 /8r (2) lvodisfhka bj;g 70 /8r
(3) lvodish ;=<g 70 /8r (4) lvodisfhka bj;g 70 /4r
(5) lvodish ;=<g 170 /8r

50. rEmfhka ±lafjk ùÿre is,skavrfha m;=f,a >klu 9 cm ls' tys

m;=f,ys ;=kS ;, o¾mKhla iú lr we;' n÷fkys mqrjd we;s
c, lf|a Wi 16 cm ls' c, mDIaGfha isg 8 cm la my<ska c,h
;=< we;s ,laIHdldr jia;=jla foi c, mDIaGhg by<ska neÆ úg
O 16 cm
fmfkk §ma;su;a m%;sìïn folg c, mDIaGfha isg we;s ÿr
fldmuK o@ ^jd;hg idfmalaIj c,fha iy ùÿrej, j¾;kdxl
ms<sfj<ska 4/3 yd 3/2 nj i,lkak'& 9 cm
(1). 6 cm, 24 cm (2). 6 cm, 27 cm (3). 6 cm, 30 cm
(4). 12 cm, 27 cm (5). 12 cm, 30 cm