Fiitjee: Physics, Chemistry & Mathematics
Fiitjee: Physics, Chemistry & Mathematics
QP CODE: RIT- 5
▪ Please read the instructions carefully. You are allotted 5 minutes specifically for
this purpose.
▪ You are not allowed to leave the Examination Hall before the end of the test.
1. Attempt ALL the questions. Answers have to be marked on the OMR sheets.
2. This question paper contains Three Sections.
3. Section-I is Physics, Section-II is Chemistry and Section-III is Mathematics.
4. Each Section is further divided into Two Parts: Part-A & B in the OMR.
5. Rough spaces are provided for rough work inside the question paper. No additional sheets will be
provided for rough work.
6. Blank Papers, clip boards, log tables, slide rule, calculator, cellular phones, pagers and electronic
devices, in any form, are not allowed.
S
SEEC
CTTIIO
ONN –– II :: P
PHHY
YSSIIC
CSS
(PART – A)
(One or More Than One Options Correct Type)
This section contains 8 multiple choice questions. Each question has 4 choices (A), (B), (C)
and (D), out of which ONE or MORE THAN ONE is correct.
1. A bimetallic strip is formed by two identical strips, one of copper and the other of brass. The
coefficients of linear expansion of the two metals are C and B . On heating, the
temperature of the strip goes up by T and the strip bends to from an arc of radius of
curvature R. Then R is
(A) proportional to T (B) inversely proportional to T
(C) proportional to B − C (D) inversely proportional to B − C
1. BD
2. ABC
3. AD
4. AC
3 IT−2022 (RIT-5)-(PCM)
5. AB
6. A particle of mass m moves in a straight line. If v is the velocity at a distance x from a fixed
point on the line and v 2 = a − bx 2 , where a and b are positive constant, then
(A) the motion continues along the positive x-direction only
(B) the motion is simple harmonic
b
(C) the particle oscillates with a frequency equal to
2
(D) the total energy of the particle is ma
6. BC
7. There is a uniform rod of mass m and length as shown in figure. Cross sectional area and
Young’s modulus of rod are A and Y respectively. Two parallel forces F and 2F acts at ends
of rod A and B respectively along normal to cross sectional area as shown. Rod is placed on
smooth horizontal table. This situation is explained by Hooke’s Law which states that under
elastic limit, stress is directly proportional to strain. Young’s modulus is the ratio of stress
and strain. Here force does not cross the elastic limits of rod.
A M N B
F 2F
3 3 3
7. ABD
8. AC
4 IT−2022 (RIT-5)-(PCM)
This section contains 2 List-Match Sets, each List-Match set has 2 Multiple Choice Questions. Each List-Match set has
two lists: List-I and List-II. Four options are given in each Multiple Choice Question based On List-I and List-II and ONLY
ONE of these four options satisfies the condition asked in the Multiple Choice Question.
Two particles start performing SHM along X-axis with origin as mean position with amplitude
A, angular frequency of SHM P and Q & starting from positions xP & xQ at t = 0. Their initial
velocities are directed towards each other. List-I contains the quantities to be calculated,
List-II contains their values in SI units.
List-I List-II
(I) The position where P & Q meet for the (P) 1
first time.
(II) Time at which P & Q meet for the first (Q) 11
time. 12
(III) Phase difference between P & Q. (R) 2
(IV) VP (S)
Ratio of velocities just before
VQ
first collision.
(T) 6
(U) 7
− 3A A
9. A = 4 m, XP = , XQ = , P = rad/ s , Q = rad/ s
2 2 2 12
(A) I → P, II → T, III → Q, IV → P (B) I → R, II → P, III → Q, IV → T
(C) I → R, II → U, III → S, IV → P (D) I → P, II → R, III → S, IV → U
9. B
− 3A A 3 7
10. A = 2 m, XP = , XQ = , P = rad/ s , Q = rad/ s
2 2 24 24
(A) I → R, II → T, III → Q, IV → S (B) I → R, II → U, III → S, IV → R
(C) I → P, II → R, III → S, IV → U (D) I → P, II → Q, III → S, IV → R
10. C
5 IT−2022 (RIT-5)-(PCM)
Answer the following by appropriately matching the lists based on the information given in
the paragraph.
In the thermodynamic process on an ideal monatomic gas, the infinitesimal heat absorbed
by the gas is given by TX. where T is temperature of the system and X is the infinitesimal
change in a thermodynamic quantity X of the system. For a mole of monatomic ideal gas
3 T V
X = R ln + R ln . Here R is gas constant. V is volume of gas. TA and VA are
2 TA VA
constants.
The List-I below gives some quantities involved in a process and List-II gives some possible
values of these quantities.
List – I List – II
(I) Work done by the system in process 1→2→3 (P) 1
RT0 ln 2
3
(II) Change in internal energy in process 1→2→3 (Q) 1
RT0
3
(III) Heat absorbed by the system in process 1→2→3 (R) RT0
(IV) Heat absorbed by the system in process 1→2 (S) 3
RT0
3
(T) 1
RT0 ( 3 + ln 2 )
3
(U) 5
RT0
6
11. If the process carried out on one mole of monatomic ideal gas is as shown in figure in the
1
PV-diagram with P0 V0 = RT0 , the correct match is.
3
(A) I→Q, II→R, III→S, IV→U (B) I→Q, II→S, III→R, IV→U
(C) I→Q, II→R, III→P, IV→U (D) I→S, II→R, III→Q, IV→T
11. A
12. If the process carried out on one mole of monatomic ideal gas is as shown in figure in the
1
PV-diagram with P0 V0 = RT0 , the correct match is.
3
(A) I→P, II→T, III→Q, IV→T (B) I→S, II→T, III→Q, IV→U
(C) I→P, II→R, III→T, IV→S (D) I→P, II→R, III→T, IV→P
12. D
6 IT−2022 (RIT-5)-(PCM)
(PART – B)
(Integer Type)
Part-C (01-06) contains six (06) Numerical based questions, the answer of which maybe positive or negative
numbers or decimals (e.g. 6.25, 7.00, -0.33, -.30, 30.27, -127.30) and each question carries +4 marks for correct
answer and there will be no negative marking.
1
13. A gas undergoes a process such that P . If the molar heat capacity for this process
T
if C = 33.24 J/ mol- K. Find the degree of freedom of the molecules of the gas.
13. 4.00
14. A liquid cools from 700C to 600C in 5 minute. Calculate the time taken by the liquid to cool
from 600C to 500C, if the temperature of the surrounding is constant at 300C.
14. 7.00
15. 2 kg of ice at –20°C is mixed with 5 kg of water at 20°C in an insulating vessel having
negligible heat capacity. Calculate the final mass of water (in kg) remaining in the container.
It is given that the specific heats of water and ice are 1 kcal/kg/°C and 0.5 kcal/kg/°C
respectively, while the latent heat of fusion of ice is 80 kcal/kg.
15. 6.00
16. 0.50
= 0.6
17. What can be the maximum 1 kg
amplitude (in m) of the system = 0.4
so that there is no slipping 2 kg
K = 24 N/m
between any of the blocks
3 kg
17. 1.00
18. An amount Q of heat is added to a monatomic ideal gas in a process in which the gas
performs a work Q/2 on its surrounding. The molar heat capacity for the process = 2nR.
Find ‘n’.
18. 1.50
S
SEEC
CTTIIO
ONN -- IIII :: C
CHHE
EMMIIS
STTR
RYY
(PART – A)
(One or More Than One Options Correct Type)
This section contains 8 multiple choice questions. Each question has 4 choices (A), (B), (C)
and (D), out of which ONE or MORE THAN ONE is correct.
(A) (B)
(C) (D)
1. ABC
(A) I and II are resonance structures (B) II and III are resonance structures
(C) II and III are diastereomers (D) III is a tautomer of I
2. CD
(A)
(B)
(C)
(D)
8 IT−2022 (RIT-5)-(PCM)
3. ABD
(A) (B)
(C) (D)
4. ABCD
Ph−C −Cl
⎯⎯⎯⎯⎯⎯ →
(A) AlCl3 CH3
S S
O
CH3
(B) Conc.H2SO4
⎯⎯⎯⎯⎯⎯⎯→
Ph
OH
CH3
(C) CH3 −C−CH3
⎯⎯⎯⎯⎯⎯⎯→ HO C OH
Conc.H2SO4
CH3
Cl HS
F F
(D) NaSH
⎯⎯⎯⎯→
DMF
NO2 NO2
5. ABC
6. ABCD
9 IT−2022 (RIT-5)-(PCM)
(A)
(B)
(C)
(D)
7. ABD
8. Which of the following reactions are least possible by Friedel-Craft acylation as per
expectation?
(A) (B)
(C) (D)
8. BD
10 IT−2022 (RIT-5)-(PCM)
This section contains 2 List-Match Sets, each List-Match set has 2 Multiple Choice Questions. Each List-Match set has
two lists: List-I and List-II. Four options are given in each Multiple Choice Question based On List-I and List-II and ONLY
ONE of these four options satisfies the condition asked in the Multiple Choice Question.
10. A
12 IT−2022 (RIT-5)-(PCM)
CH3
(C) OH (R) +R
NO2
(D) OH (S) –R
NO2
(T) Hyperconjugation
11. B
13 IT−2022 (RIT-5)-(PCM)
CH3
(C) OH (R) +R
NO2
(D) OH (S) –R
NO2
(T) Hyperconjugation
(PART – B)
(Integer Type)
Part-C (01-06) contains six (06) Numerical based questions, the answer of which maybe positive or negative
numbers or decimals (e.g. 6.25, 7.00, -0.33, -.30, 30.27, -127.30) and each question carries +4 marks for correct
answer and there will be no negative marking.
excess H2
⎯⎯⎯⎯⎯⎯ → (H = -116.2 kcal mol–1)
(Ni)
Anthracene
13. 84
14 IT−2022 (RIT-5)-(PCM)
14. 9
15. 4
16. 6
17. How many of the following halides give white precipitate with Aq. AgNO3 solution?
Cl Cl Cl Cl Cl Cl
HO Cl
CH2 = CH - Cl CH2 = CH - CH 2 - Cl Ph - CH 2 - Cl
17. 7
18. The possible number of stereoisomers formed in the following reaction would be :
18. 8
S
SEEC
CTTIIO
ONN -- IIIIII :: M
MAAT
THHE
EMMA
ATTIIC
CSS
(PART – A)
(One or More Than One Options Correct Type)
This section contains 8 multiple choice questions. Each question has 4 choices (A), (B), (C)
and (D), out of which ONE or MORE THAN ONE is correct.
1. BC
2. If z = 1 and ‘a’ and ‘b’ respectively are the minimum and maximum values of
1 + z + 1 − z + z 2 , then
(A) a = 3 (B) a = 2 + 1
13
(C) b = 3 (D) b =
4
2. AD
n
3. Let Sn ( x ) = nCk sin (kx ) cos (n − k ) x , then
k =0
(A) S5 = 16 (B) S7 = −64
2 2
(C) S100 ( ) = 0 (D) S101 ( ) = 2100
3. ABC
4. AB
( )
10
5. If 1 + 2x + 3x 2 = a0 + a1x + a2 x 2 + ..... + a20 x 20 , then:
(A) a1 = 20 (B) a 2 = 210
(C) a 4 = 8085 (D) a20 = 22 = 22.37 .7
5. ABC
6. BC
16 IT−2022 (RIT-5)-(PCM)
7. BCD
8. ABD
This section contains 2 List-Match Sets, each List-Match set has 2 Multiple Choice Questions. Each List-Match set has
two lists: List-I and List-II. Four options are given in each Multiple Choice Question based On List-I and List-II and ONLY
ONE of these four options satisfies the condition asked in the Multiple Choice Question.
9. C
10. B
17 IT−2022 (RIT-5)-(PCM)
(11 – 12)
(T)
( z1 + z2 + z3 )
2
(U)
z1
2
11. A
12. B
(PART – B)
(Integer Type)
Part-C (01-06) contains six (06) Numerical based questions, the answer of which maybe positive or negative
numbers or decimals (e.g. 6.25, 7.00, -0.33, -.30, 30.27, -127.30) and each question carries +4 marks for correct
answer and there will be no negative marking.
1. Let z1 = 3 and z 2 = 7 represent two points A and B respectively on complex plane. Let the
2 2
curve C1 be the locus of point P(z) satisfying z − z1 + z − z2 = 10 and the curve C2 be the
2 2
locus of points P (z) satisfying z − z1 + z − z2 = 16 . Least distance between curves C1
and C2 is:
1. 1
2. 5
3. 8
4. Let n be an odd natural number greater than 1. Then the number of zeros at the end of the
sum 99n + 1 is _______
4. 2
−
= 2m cos7 cos (n ( + ) ) , then m + 2n − 10 =
2
5. 5
6.
The sets A = z z18 = 1 and B = 48 = 1 consider the set C = z z A and B . If n
be the number of distinct elements in C, then n −3
6. 9
CHEMISTRY
MATHEMATICS