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Physics - 2022 Past Year Paper - Notes | Study IIT JAM Past Year Papers and Model Test Paper (All Branches) - IIT JAM

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 Page 1


 
 
 
 
 
     
 
 
 
     
 
 
IIT-JAM 2022 
Section A: Q.1-Q.10 Carry ONE mark each. 
Q1. The equation 
22
4 zz ? ? in the complex plane (where z is the complex conjugate of z ) 
represents  
(a) Ellipse (b) Hyperbola  (c) Circle of radius 2  (d) Circle of radius 4 
Ans. 1: (b) 
Q2. A rocket ? ? ' S moves at a speed /
2
c
ms along the positive x -axis, where c is the speed of 
light. When it crosses the origin, the clocks attached to the rocket and the one with a stationary 
observer ? ? S located at 0 x ? are both set to zero. If S observes an event at ?? , x t the same 
event occurs in the ' S  frame at 
(a) 
2
'
2 3
ct
xx
??
??
??
??
 and 
2
'
2 3
x
tt
c
??
??
??
??
 
(b) 
2
'
2 3
ct
xx
??
??
??
??
 and 
2
'
2 3
x
tt
c
??
??
??
??
 
(c) 
2
'
2 3
ct
xx
??
??
??
??
 and 
2
'
2 3
x
tt
c
??
??
??
??
 
(d) 
2
'
2 3
ct
xx
??
??
??
??
 and 
2
'
2 3
x
tt
c
??
??
??
??
 
Ans. 2:  (a) 
Q3. Consider a classical ideal gas of N molecules equilibrium at temperature T . Each molecule 
has two energy levels, ? ? and ?. The mean energy of the gas is  
(a) 0  (b) tanh
B
N
kT
?? ?
?
??
??
  (c) tanh
B
N
kT
?? ?
??
??
??
  (d) 
2
?
 
Ans. 3:  (c) 
Page 2


 
 
 
 
 
     
 
 
 
     
 
 
IIT-JAM 2022 
Section A: Q.1-Q.10 Carry ONE mark each. 
Q1. The equation 
22
4 zz ? ? in the complex plane (where z is the complex conjugate of z ) 
represents  
(a) Ellipse (b) Hyperbola  (c) Circle of radius 2  (d) Circle of radius 4 
Ans. 1: (b) 
Q2. A rocket ? ? ' S moves at a speed /
2
c
ms along the positive x -axis, where c is the speed of 
light. When it crosses the origin, the clocks attached to the rocket and the one with a stationary 
observer ? ? S located at 0 x ? are both set to zero. If S observes an event at ?? , x t the same 
event occurs in the ' S  frame at 
(a) 
2
'
2 3
ct
xx
??
??
??
??
 and 
2
'
2 3
x
tt
c
??
??
??
??
 
(b) 
2
'
2 3
ct
xx
??
??
??
??
 and 
2
'
2 3
x
tt
c
??
??
??
??
 
(c) 
2
'
2 3
ct
xx
??
??
??
??
 and 
2
'
2 3
x
tt
c
??
??
??
??
 
(d) 
2
'
2 3
ct
xx
??
??
??
??
 and 
2
'
2 3
x
tt
c
??
??
??
??
 
Ans. 2:  (a) 
Q3. Consider a classical ideal gas of N molecules equilibrium at temperature T . Each molecule 
has two energy levels, ? ? and ?. The mean energy of the gas is  
(a) 0  (b) tanh
B
N
kT
?? ?
?
??
??
  (c) tanh
B
N
kT
?? ?
??
??
??
  (d) 
2
?
 
Ans. 3:  (c) 
 
 
 
 
 
     
 
 
     
 
Q4. At a temperature T, let ?  and k denote the volume expansively and isothermal 
compressibility of a gas, respectively. Then 
k
?
  is equal to 
(a) 
V
P
T
? ??
??
?
??
  (b) 
T
P
V
? ??
??
?
??
  (c) 
V
T
P
? ??
??
?
??
  (d) 
P
T
V
? ??
??
?
??
 
Ans. 4: (a) 
Q5. The resultant of the binary subtraction 1110101 0011110 ? is 
(a) 1001111  (b) 1010111  (c) 1010011  (d) 1010001 
Ans. 5: (b) 
Q6. Consider a particle trapped in a three-dimensional potential well such that 
?? ,, 0 Uxyz ? for 0,0 ,0 xaya za ? ?? ?? ? and ? ? ,, Uxyz ? ? everywhere else. The 
degeneracy of the 
th
5 excited state is 
(a) 1   (b) 3   (c) 6   (d) 9 
Ans. 6: (c)  
Q7. A particle of mass m and angular momentum L moves in space where its potential energy is 
?? ? ?
2
0 Ur kr k ?? and r is the radial coordinate. 
If the particle moves in a circular orbit, then the radius of the orbit is 
(a) 
1
2
4
L
mk
??
??
??
  (b) 
1
2
4
2
L
mk
??
??
??
  (c) 
1
2
4
2L
mk
??
??
??
  (d) 
1
2
4
4L
mk
??
??
??
 
Ans. 7: (b) 
Q8. Consider a two-dimensional force field  
????? ?
22 2 2
ˆˆ ,5 4 4 Fxy x ay bxyx x xy y y ?? ? ? ? ?
?
 
If the force field is conservative, then the values of a and b are 
(a) 2 a ? and 4 b ?    (b) 2 a ? and 8 b ?  
(c) 4 a ? and 2 b ?    (d) 8 a ? and 2 b ?  
Ans. 8: (b) 
Page 3


 
 
 
 
 
     
 
 
 
     
 
 
IIT-JAM 2022 
Section A: Q.1-Q.10 Carry ONE mark each. 
Q1. The equation 
22
4 zz ? ? in the complex plane (where z is the complex conjugate of z ) 
represents  
(a) Ellipse (b) Hyperbola  (c) Circle of radius 2  (d) Circle of radius 4 
Ans. 1: (b) 
Q2. A rocket ? ? ' S moves at a speed /
2
c
ms along the positive x -axis, where c is the speed of 
light. When it crosses the origin, the clocks attached to the rocket and the one with a stationary 
observer ? ? S located at 0 x ? are both set to zero. If S observes an event at ?? , x t the same 
event occurs in the ' S  frame at 
(a) 
2
'
2 3
ct
xx
??
??
??
??
 and 
2
'
2 3
x
tt
c
??
??
??
??
 
(b) 
2
'
2 3
ct
xx
??
??
??
??
 and 
2
'
2 3
x
tt
c
??
??
??
??
 
(c) 
2
'
2 3
ct
xx
??
??
??
??
 and 
2
'
2 3
x
tt
c
??
??
??
??
 
(d) 
2
'
2 3
ct
xx
??
??
??
??
 and 
2
'
2 3
x
tt
c
??
??
??
??
 
Ans. 2:  (a) 
Q3. Consider a classical ideal gas of N molecules equilibrium at temperature T . Each molecule 
has two energy levels, ? ? and ?. The mean energy of the gas is  
(a) 0  (b) tanh
B
N
kT
?? ?
?
??
??
  (c) tanh
B
N
kT
?? ?
??
??
??
  (d) 
2
?
 
Ans. 3:  (c) 
 
 
 
 
 
     
 
 
     
 
Q4. At a temperature T, let ?  and k denote the volume expansively and isothermal 
compressibility of a gas, respectively. Then 
k
?
  is equal to 
(a) 
V
P
T
? ??
??
?
??
  (b) 
T
P
V
? ??
??
?
??
  (c) 
V
T
P
? ??
??
?
??
  (d) 
P
T
V
? ??
??
?
??
 
Ans. 4: (a) 
Q5. The resultant of the binary subtraction 1110101 0011110 ? is 
(a) 1001111  (b) 1010111  (c) 1010011  (d) 1010001 
Ans. 5: (b) 
Q6. Consider a particle trapped in a three-dimensional potential well such that 
?? ,, 0 Uxyz ? for 0,0 ,0 xaya za ? ?? ?? ? and ? ? ,, Uxyz ? ? everywhere else. The 
degeneracy of the 
th
5 excited state is 
(a) 1   (b) 3   (c) 6   (d) 9 
Ans. 6: (c)  
Q7. A particle of mass m and angular momentum L moves in space where its potential energy is 
?? ? ?
2
0 Ur kr k ?? and r is the radial coordinate. 
If the particle moves in a circular orbit, then the radius of the orbit is 
(a) 
1
2
4
L
mk
??
??
??
  (b) 
1
2
4
2
L
mk
??
??
??
  (c) 
1
2
4
2L
mk
??
??
??
  (d) 
1
2
4
4L
mk
??
??
??
 
Ans. 7: (b) 
Q8. Consider a two-dimensional force field  
????? ?
22 2 2
ˆˆ ,5 4 4 Fxy x ay bxyx x xy y y ?? ? ? ? ?
?
 
If the force field is conservative, then the values of a and b are 
(a) 2 a ? and 4 b ?    (b) 2 a ? and 8 b ?  
(c) 4 a ? and 2 b ?    (d) 8 a ? and 2 b ?  
Ans. 8: (b) 
 
 
 
 
 
     
 
 
 
     
 
 
Q9. Consider an electrostatic field E
?
 in a region of space. Identify the INCORRECT statement. 
(a) The work done in moving a charge in a closed path inside the region is zero 
(b) The curl of E
?
  is zero  
(c) The field can be expressed as the gradient of a scalar potential 
(d) The potential difference between any two points in the region is always zero 
Ans. 9: (d) 
Q10. Which one of the following figures correctly depicts the intensity distribution for 
Fraunhofer diffraction due to a single slit? Here, x denotes the distance from centre of the 
central fringe and I denotes the intensity. 
(a)  
 
 
 
(b)  
 
 
(c)  
 
 
(d)  
 
 
Ans. 10: (c) 
I
x
I
x
I
x
I
x
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