JEE Advanced 2021 Question Paper - 2 with Solutions | JEE Main & Advanced Previous Year Papers PDF Download

 Page 1


Answers & Solutions
for for for for for
JEE (Advanced)-2021
Time : 3 hrs. Max. Marks:  180
PAPER - 2
DATE : 03/10/2021
PART-I : PHYSICS
SECTION - 1
• This section contains SIX (06) questions.
• Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN ONE of these four option(s) is (are) correct
answer(s).
• For each question, choose the option(s) corresponding to (all) the correct answer(s).
• Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +4 If only (all) the correct option(s) is(are) chosen;
Partial Marks : +3 If all the four options are correct but ONLY three options are chosen;
Partial Marks : +2 If three or more options are correct but ONLY two options are chosen, both of which are correct;
Partial Marks : +1 If two or more options are correct but ONLY one option is chosen and it is a correct option;
Zero Marks : 0 If unanswered;
Negative Marks : -2 In all other cases.
• For example, in a question, if (A), (B) and (D) are the ONLY three options corresponding to correct answers, then
choosing ONLY (A), (B) and (D) will get +4 marks;
choosing ONLY (A) and (B) will get +2 marks;
choosing ONLY (A) and (D) will get +2 marks;
choosing ONLY (B) and (D) will get +2 marks;
choosing ONLY (A) will get +1 mark;
choosing ONLY (B) will get +1 mark;
choosing ONLY (D) will get +1 mark;
choosing no option(s) (i.e. the question is unanswered) will get 0 marks and
choosing any other option(s) will get -2 marks.
Page 2


Answers & Solutions
for for for for for
JEE (Advanced)-2021
Time : 3 hrs. Max. Marks:  180
PAPER - 2
DATE : 03/10/2021
PART-I : PHYSICS
SECTION - 1
• This section contains SIX (06) questions.
• Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN ONE of these four option(s) is (are) correct
answer(s).
• For each question, choose the option(s) corresponding to (all) the correct answer(s).
• Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +4 If only (all) the correct option(s) is(are) chosen;
Partial Marks : +3 If all the four options are correct but ONLY three options are chosen;
Partial Marks : +2 If three or more options are correct but ONLY two options are chosen, both of which are correct;
Partial Marks : +1 If two or more options are correct but ONLY one option is chosen and it is a correct option;
Zero Marks : 0 If unanswered;
Negative Marks : -2 In all other cases.
• For example, in a question, if (A), (B) and (D) are the ONLY three options corresponding to correct answers, then
choosing ONLY (A), (B) and (D) will get +4 marks;
choosing ONLY (A) and (B) will get +2 marks;
choosing ONLY (A) and (D) will get +2 marks;
choosing ONLY (B) and (D) will get +2 marks;
choosing ONLY (A) will get +1 mark;
choosing ONLY (B) will get +1 mark;
choosing ONLY (D) will get +1 mark;
choosing no option(s) (i.e. the question is unanswered) will get 0 marks and
choosing any other option(s) will get -2 marks.
JEE (ADVANCED)-2021 (Paper-2)
1. One end of a horizontal uniform beam of weight W and length L is hinged on a vertical wall at point O and its
other end is supported by a light inextensible rope. The other end of the rope is fixed at point Q, at a height L
above the hinge at point O. A block of weight aW is attached at the point P of the beam, as shown in the figure
(not to scale). The rope can sustain a maximum tension of 22 () . W Which of the following statement(s) is(are)
correct?
Q
O W
L
P
aW
L
(A) The vertical compenent of reaction force at O does not depend on a
(B) The horizontal component of reaction force at O is equal to W for a = 0.5
(C) The tension in the rope is 2W for a = 0.5
(D) The rope breaks if a > 1.5
Answer (A, B, D)
Sol.
×+a × =× ×
1
2
2
L
WWLT L
Q
O
W
P
aW
L
T
45º
?
??
=+a
??
??
1
2
2
TW
?
×+ = +a
1
2
V
TFWW
?
+a + = +a
2
V
W
WF W W
? =
2
V
W
F
At 
1
2
a= ,
    
??
=+ =
??
??
11
22
22
TWW
11
2
2
2
H
Fat W W
??
a= = × =
??
??
at  a = 1.5, 
??
=× + =
??
??
13
222
22
TWW
2. A source, approaching with speed u towards the open end of a stationary pipe of length L, is emitting a sound
of frequency f
s
. The farther end of the pipe is closed. The speed of sound in air is v and f
0
 is the fundamental
frequency of the pipe. For which of the following combination(s) of u and f
s
, will the sound reching the pipe lead
to a resonance?
(A) u = 0.8v and f
s
 = f
0
(B) u = 0.8v and f
s
 = 2f
0
(C) u = 0.8v and f
s
 = 0.5f
0
(D) u = 0.5v and f
s
 = 1.5f
0
Page 3


Answers & Solutions
for for for for for
JEE (Advanced)-2021
Time : 3 hrs. Max. Marks:  180
PAPER - 2
DATE : 03/10/2021
PART-I : PHYSICS
SECTION - 1
• This section contains SIX (06) questions.
• Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN ONE of these four option(s) is (are) correct
answer(s).
• For each question, choose the option(s) corresponding to (all) the correct answer(s).
• Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +4 If only (all) the correct option(s) is(are) chosen;
Partial Marks : +3 If all the four options are correct but ONLY three options are chosen;
Partial Marks : +2 If three or more options are correct but ONLY two options are chosen, both of which are correct;
Partial Marks : +1 If two or more options are correct but ONLY one option is chosen and it is a correct option;
Zero Marks : 0 If unanswered;
Negative Marks : -2 In all other cases.
• For example, in a question, if (A), (B) and (D) are the ONLY three options corresponding to correct answers, then
choosing ONLY (A), (B) and (D) will get +4 marks;
choosing ONLY (A) and (B) will get +2 marks;
choosing ONLY (A) and (D) will get +2 marks;
choosing ONLY (B) and (D) will get +2 marks;
choosing ONLY (A) will get +1 mark;
choosing ONLY (B) will get +1 mark;
choosing ONLY (D) will get +1 mark;
choosing no option(s) (i.e. the question is unanswered) will get 0 marks and
choosing any other option(s) will get -2 marks.
JEE (ADVANCED)-2021 (Paper-2)
1. One end of a horizontal uniform beam of weight W and length L is hinged on a vertical wall at point O and its
other end is supported by a light inextensible rope. The other end of the rope is fixed at point Q, at a height L
above the hinge at point O. A block of weight aW is attached at the point P of the beam, as shown in the figure
(not to scale). The rope can sustain a maximum tension of 22 () . W Which of the following statement(s) is(are)
correct?
Q
O W
L
P
aW
L
(A) The vertical compenent of reaction force at O does not depend on a
(B) The horizontal component of reaction force at O is equal to W for a = 0.5
(C) The tension in the rope is 2W for a = 0.5
(D) The rope breaks if a > 1.5
Answer (A, B, D)
Sol.
×+a × =× ×
1
2
2
L
WWLT L
Q
O
W
P
aW
L
T
45º
?
??
=+a
??
??
1
2
2
TW
?
×+ = +a
1
2
V
TFWW
?
+a + = +a
2
V
W
WF W W
? =
2
V
W
F
At 
1
2
a= ,
    
??
=+ =
??
??
11
22
22
TWW
11
2
2
2
H
Fat W W
??
a= = × =
??
??
at  a = 1.5, 
??
=× + =
??
??
13
222
22
TWW
2. A source, approaching with speed u towards the open end of a stationary pipe of length L, is emitting a sound
of frequency f
s
. The farther end of the pipe is closed. The speed of sound in air is v and f
0
 is the fundamental
frequency of the pipe. For which of the following combination(s) of u and f
s
, will the sound reching the pipe lead
to a resonance?
(A) u = 0.8v and f
s
 = f
0
(B) u = 0.8v and f
s
 = 2f
0
(C) u = 0.8v and f
s
 = 0.5f
0
(D) u = 0.5v and f
s
 = 1.5f
0
JEE (ADVANCED)-2021 (Paper-2)
Answer (A, D)
Sol. For resonance,
×= ×
-
0
(odd)
s
v
ff
vu
u
f
s
f
0
(A)
×=
-
00
5
0.8
v
ff
vv
(B)
×=
-
00
210
0.8
v
ff
vv
(C)
??
×=
??
-
??
0
0
5
0.8 2 2
f v
f
vv
(D)
??
×=
??
-
??
0
0
3
3
0.5 2
f v
f
vv
3. For a prism of prism angle ? = 60º, the refractive indices of the left half and the right half are, respectively, n
1
and n
2
 (n
2
 = n
1
) as shown in the figure. The angle of incidence i is chosen such that the incident light rays
will have minimum deviation if n
1
 = n
2
 = n = 1.5. For the case of unequal refractive indices, n
1
 = n and
n
2
 = n + ?n (where ?n << n), the angle of emergence e = i + ?e. Which of the following statement(s) is(are)
correct?
?
i
n
1
n
2
(A) The value of ?e (in radians) is greater than that of ?n
(B) ?e is proportional to ?n
(C) ?e lies between 2.0 and 3.0 milliradians, if ?n = 2.8 × 10
–3
(D) ?e lies between 1.0 and 1.6 milliradians, if ?n = 2.8 × 10
–3
Answer (B, C)
Sol. For n
1
 = n
2
 = n = 1.5,
r = 30º
? sin i = 1.5 × sin (30º) = 
3
4
? sin e = 
3
4
 for n
1
 = n
2
i
e
r'
r
Now, r' = 30º and n
2
 = n + ?n
' ×=×
2
( ) sin( ) 1 sin nr e
? ?× = ×?
2
sin(30º) cos nee
Page 4


Answers & Solutions
for for for for for
JEE (Advanced)-2021
Time : 3 hrs. Max. Marks:  180
PAPER - 2
DATE : 03/10/2021
PART-I : PHYSICS
SECTION - 1
• This section contains SIX (06) questions.
• Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN ONE of these four option(s) is (are) correct
answer(s).
• For each question, choose the option(s) corresponding to (all) the correct answer(s).
• Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +4 If only (all) the correct option(s) is(are) chosen;
Partial Marks : +3 If all the four options are correct but ONLY three options are chosen;
Partial Marks : +2 If three or more options are correct but ONLY two options are chosen, both of which are correct;
Partial Marks : +1 If two or more options are correct but ONLY one option is chosen and it is a correct option;
Zero Marks : 0 If unanswered;
Negative Marks : -2 In all other cases.
• For example, in a question, if (A), (B) and (D) are the ONLY three options corresponding to correct answers, then
choosing ONLY (A), (B) and (D) will get +4 marks;
choosing ONLY (A) and (B) will get +2 marks;
choosing ONLY (A) and (D) will get +2 marks;
choosing ONLY (B) and (D) will get +2 marks;
choosing ONLY (A) will get +1 mark;
choosing ONLY (B) will get +1 mark;
choosing ONLY (D) will get +1 mark;
choosing no option(s) (i.e. the question is unanswered) will get 0 marks and
choosing any other option(s) will get -2 marks.
JEE (ADVANCED)-2021 (Paper-2)
1. One end of a horizontal uniform beam of weight W and length L is hinged on a vertical wall at point O and its
other end is supported by a light inextensible rope. The other end of the rope is fixed at point Q, at a height L
above the hinge at point O. A block of weight aW is attached at the point P of the beam, as shown in the figure
(not to scale). The rope can sustain a maximum tension of 22 () . W Which of the following statement(s) is(are)
correct?
Q
O W
L
P
aW
L
(A) The vertical compenent of reaction force at O does not depend on a
(B) The horizontal component of reaction force at O is equal to W for a = 0.5
(C) The tension in the rope is 2W for a = 0.5
(D) The rope breaks if a > 1.5
Answer (A, B, D)
Sol.
×+a × =× ×
1
2
2
L
WWLT L
Q
O
W
P
aW
L
T
45º
?
??
=+a
??
??
1
2
2
TW
?
×+ = +a
1
2
V
TFWW
?
+a + = +a
2
V
W
WF W W
? =
2
V
W
F
At 
1
2
a= ,
    
??
=+ =
??
??
11
22
22
TWW
11
2
2
2
H
Fat W W
??
a= = × =
??
??
at  a = 1.5, 
??
=× + =
??
??
13
222
22
TWW
2. A source, approaching with speed u towards the open end of a stationary pipe of length L, is emitting a sound
of frequency f
s
. The farther end of the pipe is closed. The speed of sound in air is v and f
0
 is the fundamental
frequency of the pipe. For which of the following combination(s) of u and f
s
, will the sound reching the pipe lead
to a resonance?
(A) u = 0.8v and f
s
 = f
0
(B) u = 0.8v and f
s
 = 2f
0
(C) u = 0.8v and f
s
 = 0.5f
0
(D) u = 0.5v and f
s
 = 1.5f
0
JEE (ADVANCED)-2021 (Paper-2)
Answer (A, D)
Sol. For resonance,
×= ×
-
0
(odd)
s
v
ff
vu
u
f
s
f
0
(A)
×=
-
00
5
0.8
v
ff
vv
(B)
×=
-
00
210
0.8
v
ff
vv
(C)
??
×=
??
-
??
0
0
5
0.8 2 2
f v
f
vv
(D)
??
×=
??
-
??
0
0
3
3
0.5 2
f v
f
vv
3. For a prism of prism angle ? = 60º, the refractive indices of the left half and the right half are, respectively, n
1
and n
2
 (n
2
 = n
1
) as shown in the figure. The angle of incidence i is chosen such that the incident light rays
will have minimum deviation if n
1
 = n
2
 = n = 1.5. For the case of unequal refractive indices, n
1
 = n and
n
2
 = n + ?n (where ?n << n), the angle of emergence e = i + ?e. Which of the following statement(s) is(are)
correct?
?
i
n
1
n
2
(A) The value of ?e (in radians) is greater than that of ?n
(B) ?e is proportional to ?n
(C) ?e lies between 2.0 and 3.0 milliradians, if ?n = 2.8 × 10
–3
(D) ?e lies between 1.0 and 1.6 milliradians, if ?n = 2.8 × 10
–3
Answer (B, C)
Sol. For n
1
 = n
2
 = n = 1.5,
r = 30º
? sin i = 1.5 × sin (30º) = 
3
4
? sin e = 
3
4
 for n
1
 = n
2
i
e
r'
r
Now, r' = 30º and n
2
 = n + ?n
' ×=×
2
( ) sin( ) 1 sin nr e
? ?× = ×?
2
sin(30º) cos nee
JEE (ADVANCED)-2021 (Paper-2)
?
?×
?= = ?
-
1
()
2
2
97
1
16
n
en
??e < ?n and, ?e ? ?n
at ?n = 2.8 × 10
–3
, ?e = 2.12 × 10
–3
 rad
4. A physical quantity 

S
 is defined as 
0
=× µ

()/, SEB where 

E is electric field, 
 
B is magnetic field and µ
0
 is
the permeability of free space. The dimensions of 

S are the same as the dimensions of which of the following
quantity(ies)?
(A)
×
Energy
Charge Current
(B)
×
Force
Length Time
(C)
Energy
Volume
(D)
Power
Area
Answer (B, D)
Sol.
0
EB
S
×
=
µ
  


S is known as poynting vector and represents intensity of electromagnetic waves.
-
?? ??
??
== =
?? ??
??
×
????
 
3
Power Force
[]
Area Length Time
SMT
5. A heavy nucleus N, at rest, undergoes fission N ? P + Q, where P and Q are two lighter nuclei. Let
d = M
N
 – M
P
 – M
Q
, where M
P
, M
Q
 and M
N
 are the masses of P, Q and N, respectively. E
P
 and E
Q
 are the kinetic
energies of P and Q, respectively. The speeds of P and Q are V
P
 and V
Q
, respectively. If c is the speed of light,
which of the following statement(s) is(are) correct?
(A) E
P
 + E
Q
 = c
2
d
(B)
2
??
=d ??
??
+
??
P
P
PQ
M
Ec
MM
(C)
Q P
QP
M V
VM
=
(D) The magnitude of momentum for P as well as Q is 2µd, c where 
µ=
+ ()
PQ
PQ
MM
MM
Answer (A, C, D)
Sol. +=d
2
PQ
EE c    (Q-value of nuclear reaction)
= 22
PP Q Q
ME ME   or   
PP QQ
MV MV =
Page 5


Answers & Solutions
for for for for for
JEE (Advanced)-2021
Time : 3 hrs. Max. Marks:  180
PAPER - 2
DATE : 03/10/2021
PART-I : PHYSICS
SECTION - 1
• This section contains SIX (06) questions.
• Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN ONE of these four option(s) is (are) correct
answer(s).
• For each question, choose the option(s) corresponding to (all) the correct answer(s).
• Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +4 If only (all) the correct option(s) is(are) chosen;
Partial Marks : +3 If all the four options are correct but ONLY three options are chosen;
Partial Marks : +2 If three or more options are correct but ONLY two options are chosen, both of which are correct;
Partial Marks : +1 If two or more options are correct but ONLY one option is chosen and it is a correct option;
Zero Marks : 0 If unanswered;
Negative Marks : -2 In all other cases.
• For example, in a question, if (A), (B) and (D) are the ONLY three options corresponding to correct answers, then
choosing ONLY (A), (B) and (D) will get +4 marks;
choosing ONLY (A) and (B) will get +2 marks;
choosing ONLY (A) and (D) will get +2 marks;
choosing ONLY (B) and (D) will get +2 marks;
choosing ONLY (A) will get +1 mark;
choosing ONLY (B) will get +1 mark;
choosing ONLY (D) will get +1 mark;
choosing no option(s) (i.e. the question is unanswered) will get 0 marks and
choosing any other option(s) will get -2 marks.
JEE (ADVANCED)-2021 (Paper-2)
1. One end of a horizontal uniform beam of weight W and length L is hinged on a vertical wall at point O and its
other end is supported by a light inextensible rope. The other end of the rope is fixed at point Q, at a height L
above the hinge at point O. A block of weight aW is attached at the point P of the beam, as shown in the figure
(not to scale). The rope can sustain a maximum tension of 22 () . W Which of the following statement(s) is(are)
correct?
Q
O W
L
P
aW
L
(A) The vertical compenent of reaction force at O does not depend on a
(B) The horizontal component of reaction force at O is equal to W for a = 0.5
(C) The tension in the rope is 2W for a = 0.5
(D) The rope breaks if a > 1.5
Answer (A, B, D)
Sol.
×+a × =× ×
1
2
2
L
WWLT L
Q
O
W
P
aW
L
T
45º
?
??
=+a
??
??
1
2
2
TW
?
×+ = +a
1
2
V
TFWW
?
+a + = +a
2
V
W
WF W W
? =
2
V
W
F
At 
1
2
a= ,
    
??
=+ =
??
??
11
22
22
TWW
11
2
2
2
H
Fat W W
??
a= = × =
??
??
at  a = 1.5, 
??
=× + =
??
??
13
222
22
TWW
2. A source, approaching with speed u towards the open end of a stationary pipe of length L, is emitting a sound
of frequency f
s
. The farther end of the pipe is closed. The speed of sound in air is v and f
0
 is the fundamental
frequency of the pipe. For which of the following combination(s) of u and f
s
, will the sound reching the pipe lead
to a resonance?
(A) u = 0.8v and f
s
 = f
0
(B) u = 0.8v and f
s
 = 2f
0
(C) u = 0.8v and f
s
 = 0.5f
0
(D) u = 0.5v and f
s
 = 1.5f
0
JEE (ADVANCED)-2021 (Paper-2)
Answer (A, D)
Sol. For resonance,
×= ×
-
0
(odd)
s
v
ff
vu
u
f
s
f
0
(A)
×=
-
00
5
0.8
v
ff
vv
(B)
×=
-
00
210
0.8
v
ff
vv
(C)
??
×=
??
-
??
0
0
5
0.8 2 2
f v
f
vv
(D)
??
×=
??
-
??
0
0
3
3
0.5 2
f v
f
vv
3. For a prism of prism angle ? = 60º, the refractive indices of the left half and the right half are, respectively, n
1
and n
2
 (n
2
 = n
1
) as shown in the figure. The angle of incidence i is chosen such that the incident light rays
will have minimum deviation if n
1
 = n
2
 = n = 1.5. For the case of unequal refractive indices, n
1
 = n and
n
2
 = n + ?n (where ?n << n), the angle of emergence e = i + ?e. Which of the following statement(s) is(are)
correct?
?
i
n
1
n
2
(A) The value of ?e (in radians) is greater than that of ?n
(B) ?e is proportional to ?n
(C) ?e lies between 2.0 and 3.0 milliradians, if ?n = 2.8 × 10
–3
(D) ?e lies between 1.0 and 1.6 milliradians, if ?n = 2.8 × 10
–3
Answer (B, C)
Sol. For n
1
 = n
2
 = n = 1.5,
r = 30º
? sin i = 1.5 × sin (30º) = 
3
4
? sin e = 
3
4
 for n
1
 = n
2
i
e
r'
r
Now, r' = 30º and n
2
 = n + ?n
' ×=×
2
( ) sin( ) 1 sin nr e
? ?× = ×?
2
sin(30º) cos nee
JEE (ADVANCED)-2021 (Paper-2)
?
?×
?= = ?
-
1
()
2
2
97
1
16
n
en
??e < ?n and, ?e ? ?n
at ?n = 2.8 × 10
–3
, ?e = 2.12 × 10
–3
 rad
4. A physical quantity 

S
 is defined as 
0
=× µ

()/, SEB where 

E is electric field, 
 
B is magnetic field and µ
0
 is
the permeability of free space. The dimensions of 

S are the same as the dimensions of which of the following
quantity(ies)?
(A)
×
Energy
Charge Current
(B)
×
Force
Length Time
(C)
Energy
Volume
(D)
Power
Area
Answer (B, D)
Sol.
0
EB
S
×
=
µ
  


S is known as poynting vector and represents intensity of electromagnetic waves.
-
?? ??
??
== =
?? ??
??
×
????
 
3
Power Force
[]
Area Length Time
SMT
5. A heavy nucleus N, at rest, undergoes fission N ? P + Q, where P and Q are two lighter nuclei. Let
d = M
N
 – M
P
 – M
Q
, where M
P
, M
Q
 and M
N
 are the masses of P, Q and N, respectively. E
P
 and E
Q
 are the kinetic
energies of P and Q, respectively. The speeds of P and Q are V
P
 and V
Q
, respectively. If c is the speed of light,
which of the following statement(s) is(are) correct?
(A) E
P
 + E
Q
 = c
2
d
(B)
2
??
=d ??
??
+
??
P
P
PQ
M
Ec
MM
(C)
Q P
QP
M V
VM
=
(D) The magnitude of momentum for P as well as Q is 2µd, c where 
µ=
+ ()
PQ
PQ
MM
MM
Answer (A, C, D)
Sol. +=d
2
PQ
EE c    (Q-value of nuclear reaction)
= 22
PP Q Q
ME ME   or   
PP QQ
MV MV =
JEE (ADVANCED)-2021 (Paper-2)
?
=
Q P
QP
M E
EM
? =d
+
2 Q
P
PQ
M
Ec
MM
? Momentum of P or Q = 
d
+
2
2
PQ
PQ
MM
c
MM
6. Two concentric circular loops, one of radius R and the other of radius 2R, lie in the xy-plane with the origin as
their common center, as shwon in the figure. The smaller loop carries current I
1
 in the anti-clockwise direction
and the larger loop carries current I
2
 in the clockwise direction, with I
2
 > 2I
1
. 
 
(, ) Bxy
 denotes the magnetic field
at a point (x, y) in the xy-plane. Which of the following statement(s) is(are) correct?
y
I
2
I
1
R
O
2R
x
(A)
 
(, ) Bxy
 is perpendicular to the xy-plane at any point in the plane
(B)
 
(, ) Bxy
 depends on x and y only through the radial distance 
22
=+ rx y
(C)
 
(, ) Bxy
 is non-zero at all points for r < R
(D)
 
(, ) Bxy
 points normally outward from the xy-plane for all the points between the two loops
Answer (A, B)
Sol. Magnetic field due to a circular loop at any point in its plane will be perpendicular to the plane. Due to symmetry
it will depend only on distance from centre. Field will be in opposite direction inside and outside the loop.
Field may be non-zero for r < R, as it is in opposite direction due to both the loops.
SECTION - 2
• This section contains THREE (03) question stems.
• There are TWO (02) questions corresponding to each question stem.
• The answer to each question is a NUMERICAL VALUE.
• For each question, enter the correct numerical value corresponding to the answer in the designated place using the
mouse and the on-screen virtual numeric keypad.
• If the numerical value has more than two decimal places, truncate/round-off the value to TWO decimal places.
• Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +2 If ONLY the correct numerical value is entered at the designated place;
Zero Marks : 0 In all other cases.