PART I : PHYSICS
SECTION 1 (Maximum Marks: 21)
• This section contains SEVEN questions
• Each question has FOUR options [A], [B], [C] and [D]. ONLY ONE of these four options is
correct
• For each question, darken the bubble corresponding to the correct option in the ORS
• For each question, marks will be awarded in one of the following categories:
Full Marks : +3 If only the bubble corresponding to the correct option is darkened
Zero Marks : 0 If none of the bubbles is darkened
Negative Marks: -1 In all other cases
Q.1 Consider an expanding sphere of instantaneous radius 𝑅 whose total mass remains
constant. The expansion is such that the instantaneous density 𝜌 remains uniform
! !"
throughout the volume. The rate of fractional change in density ! !" is constant. The
velocity 𝑣 of any point on the surface of the expanding sphere is proportional to
!
[A] 𝑅 [B] 𝑅! [C] !
[D] 𝑅!/!
Space for rough work
Answer for the above question
Ans for Q.1: (A)
3/36 Paper-2 Code 1
,Q.2 Consider regular polygons with number of sides 𝑛 = 3, 4, 5…… as shown in the figure.
The center of mass of all the polygons is at height ℎ from the ground. They roll on a
horizontal surface about the leading vertex without slipping and sliding as depicted. The
maximum increase in height of the locus of the center of mass for each polygon is ∆. Then
∆ depends on 𝑛 and ℎ as
h h h
! !
[A] ∆= ℎ sin! !
[B] ∆= ℎ ! −1
!"#
!
!! !
[C] ∆= ℎ sin !
[D] ∆= ℎ tan! !!
Space for rough work
Answer for the above question
Ans for Q.2: (B)
4/36 Paper-2 Code 1
,Q.3 A photoelectric material having work-function 𝜙! is illuminated with light of wavelength
!!
𝜆 𝜆 < ! . The fastest photoelectron has a de Broglie wavelength 𝜆! . A change in
!
wavelength of the incident light by ∆𝜆 results in a change ∆𝜆! in 𝜆! . Then the ratio
∆𝜆! /∆𝜆 is proportional to
[A] 𝜆! /𝜆 [B] 𝜆!! /𝜆! [C] 𝜆!! /𝜆 [D] 𝜆!! /𝜆!
Q.4 A symmetric star shaped conducting wire loop is carrying a steady state current 𝐼 as shown
in the figure. The distance between the diametrically opposite vertices of the star is 4𝑎.
The magnitude of the magnetic field at the center of the loop is
I
4a
!! ! !! !
[A] !!"
6[ 3 − 1] [B] !!"
6[ 3 + 1]
!! ! !! !
[C] !!"
3[ 3 − 1] [D] !!"
3[2 − 3]
Space for rough work
Answers for the above questions
Ans for Q.3: (D) Ans for Q.4: (A)
5/36 Paper-2 Code 1
, Q.5 Three vectors 𝑃, 𝑄 and 𝑅 are shown in the figure. Let 𝑆 be any point on the vector 𝑅. The
distance between the points 𝑃 and 𝑆 is 𝑏|𝑅|. The general relation among vectors 𝑃, 𝑄 and
𝑆 is
[A] 𝑆 = 1 − 𝑏 𝑃 + 𝑏𝑄 [B] 𝑆 = (𝑏 − 1)𝑃 + 𝑏𝑄
[C] 𝑆 = 1 − 𝑏 ! 𝑃 + 𝑏𝑄 [D] 𝑆 = 1 − 𝑏 𝑃 + 𝑏 ! 𝑄
Space for rough work
Answer for the above question
Ans for Q.5: (A)
6/36 Paper-2 Code 1
SECTION 1 (Maximum Marks: 21)
• This section contains SEVEN questions
• Each question has FOUR options [A], [B], [C] and [D]. ONLY ONE of these four options is
correct
• For each question, darken the bubble corresponding to the correct option in the ORS
• For each question, marks will be awarded in one of the following categories:
Full Marks : +3 If only the bubble corresponding to the correct option is darkened
Zero Marks : 0 If none of the bubbles is darkened
Negative Marks: -1 In all other cases
Q.1 Consider an expanding sphere of instantaneous radius 𝑅 whose total mass remains
constant. The expansion is such that the instantaneous density 𝜌 remains uniform
! !"
throughout the volume. The rate of fractional change in density ! !" is constant. The
velocity 𝑣 of any point on the surface of the expanding sphere is proportional to
!
[A] 𝑅 [B] 𝑅! [C] !
[D] 𝑅!/!
Space for rough work
Answer for the above question
Ans for Q.1: (A)
3/36 Paper-2 Code 1
,Q.2 Consider regular polygons with number of sides 𝑛 = 3, 4, 5…… as shown in the figure.
The center of mass of all the polygons is at height ℎ from the ground. They roll on a
horizontal surface about the leading vertex without slipping and sliding as depicted. The
maximum increase in height of the locus of the center of mass for each polygon is ∆. Then
∆ depends on 𝑛 and ℎ as
h h h
! !
[A] ∆= ℎ sin! !
[B] ∆= ℎ ! −1
!"#
!
!! !
[C] ∆= ℎ sin !
[D] ∆= ℎ tan! !!
Space for rough work
Answer for the above question
Ans for Q.2: (B)
4/36 Paper-2 Code 1
,Q.3 A photoelectric material having work-function 𝜙! is illuminated with light of wavelength
!!
𝜆 𝜆 < ! . The fastest photoelectron has a de Broglie wavelength 𝜆! . A change in
!
wavelength of the incident light by ∆𝜆 results in a change ∆𝜆! in 𝜆! . Then the ratio
∆𝜆! /∆𝜆 is proportional to
[A] 𝜆! /𝜆 [B] 𝜆!! /𝜆! [C] 𝜆!! /𝜆 [D] 𝜆!! /𝜆!
Q.4 A symmetric star shaped conducting wire loop is carrying a steady state current 𝐼 as shown
in the figure. The distance between the diametrically opposite vertices of the star is 4𝑎.
The magnitude of the magnetic field at the center of the loop is
I
4a
!! ! !! !
[A] !!"
6[ 3 − 1] [B] !!"
6[ 3 + 1]
!! ! !! !
[C] !!"
3[ 3 − 1] [D] !!"
3[2 − 3]
Space for rough work
Answers for the above questions
Ans for Q.3: (D) Ans for Q.4: (A)
5/36 Paper-2 Code 1
, Q.5 Three vectors 𝑃, 𝑄 and 𝑅 are shown in the figure. Let 𝑆 be any point on the vector 𝑅. The
distance between the points 𝑃 and 𝑆 is 𝑏|𝑅|. The general relation among vectors 𝑃, 𝑄 and
𝑆 is
[A] 𝑆 = 1 − 𝑏 𝑃 + 𝑏𝑄 [B] 𝑆 = (𝑏 − 1)𝑃 + 𝑏𝑄
[C] 𝑆 = 1 − 𝑏 ! 𝑃 + 𝑏𝑄 [D] 𝑆 = 1 − 𝑏 𝑃 + 𝑏 ! 𝑄
Space for rough work
Answer for the above question
Ans for Q.5: (A)
6/36 Paper-2 Code 1
