In the shown figure all surfaces are rough block b is

2. In the shown figure all surfaces are rough.
Block B is attached with a load of mass 6m
through an ideal string passing over an ideal
pulley. Coefficient of friction is  = 0.2 between
all the surfaces. The correct option is:
(A) friction force on C due to B is mg
(B) friction force on A is zero
(C) acceleration of block B is
55
(D) Load remains at rest.
A 3m
6m
B 2m
C
11
m
3. Two moles of an ideal monoatomic gas is taken
through the process as shown in figure. The process is
A  B Adiabatic
B  C isobaric
C  D Linear relation between P and V.
The net change in internal energy of the gas is:
10
5
B C
A
D
P
(N/m
2
)
V(m
3
)
2 4 6
4. Two cars P and Q are moving with equal speed v = 40
km/h on the two roads which are intersecting at 60°at
point O as shown in the figure. Initially, PO is 80 km and
QO is 50 km. The minimum separation between them
will be:

AITS-OT (Paper-1)-PCM-JEE (Advanced)/2021 3
5. In the shown figure an infinitely long V shaped, uniformly
charged wire is placed. Linear charge density on it is  . The
ratio of the electric field intensity (magnitude) at A and B is: (AB
bisects the angle and points A and B are at equal distances
from the point O)
2
1


×
×
×
×
×
×
×
×
×
D
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website:
6. A uniformly charged nonconducting cylinder of
mass M, radius R and charge Q is shown in the
figure. A uniform magnetic field B
0
parallel to the
axis of the cylinder is present in the region. Find
the angular velocity of the cylinder when the
magnetic field is suddenly switched off.
(A)
0
Q
B
2M
R
B
0
(B)
0
2Q
B
(C)
0
Q
B
(D)
0
3Q
B
2M
(One or More than one correct type)
M
M
This section contains 06 multiple choice questions. Each question has FOUR options (A), (B), (C) and
(D). ONE OR MORE THAN ONE of these four options is(are) correct.
7. A spherical shell has variable thermal conductivity K = K
0
x, where x
is the distance from the centre of the shell and K
0
is a positive
constant. The inner and outer radii of the spherical shell are R
0
and
2R
0
respectively as shown in the figure. Temperature of inner and
outer surfaces are 2T
0
and T
0
respectively. Then choose the
correct option(s).
2
0 0
0
8 K R
T

R
0
T
0
2T
0
2R
0
T
2
3

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website:
4