1
JEE Advanced 2014 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

The figure shows a circular loop of radius a with two long parallel wires (numbered 1 and 2) all in the plane of the paper. The distance of each wire from the centre of the loop is d. The loop and the wires are carrying the same current I. The current in the loop is in the counter clockwise direction if seen from above.

JEE Advanced 2014 Paper 2 Offline Physics - Magnetism Question 23 English Comprehension

When d $$\approx$$ a but wires are not touching the loop, it is found that the net magnetic field on the axis of the loop is zero at a height h above the loop. In that case

A
current in wire 1 and wire 2 is the direction PQ and RS, respectively, and h $$\approx$$ a.
B
current in wire 1 and wire 2 is the direction PQ and SR, respectively, and h $$\approx$$ a.
C
current in wire 1 and wire 2 is the direction PQ and SR, respectively, and h $$\approx$$ 1.2a.
D
current in wire 1 and wire 2 is the direction PQ and RS, respectively, and h $$\approx$$ 1.2a.
2
JEE Advanced 2014 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

The figure shows a circular loop of radius a with two long parallel wires (numbered 1 and 2) all in the plane of the paper. The distance of each wire from the centre of the loop is d. The loop and the wires are carrying the same current I. The current in the loop is in the counter clockwise direction if seen from above.

JEE Advanced 2014 Paper 2 Offline Physics - Magnetism Question 24 English Comprehension

Consider d >> a, and the loop is rotated about its diameter parallel to the wires by 30$$^\circ$$ from the position shown in the below figure. If the currents in the wires are in the opposite directions, the torque on the loop at its new position will be (assume that the net field due to the wires is constant over the loop)

A
$${{{\mu _0}{I^2}{a^2}} \over d}$$
B
$${{{\mu _0}{I^2}{a^2}} \over {2d}}$$
C
$${{\sqrt 3 {\mu _0}{I^2}{a^2}} \over d}$$
D
$${{\sqrt 3 {\mu _0}{I^2}{a^2}} \over {2d}}$$
3
JEE Advanced 2014 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

In the figure a container is shown to have a movable (without friction) piston on top. The container and the piston are all made of perfectly insulating material allowing no heat transfer between outside and inside the container. The container is divided into two compartments by a rigid partition made of a thermally conducting material that allows slow transfer of heat. The lower compartment of the container is filled with 2 moles of an ideal monatomic gas at 700 K and the upper compartment is filled with 2 moles of an ideal diatomic gas at 400 K. The heat capacities per mole of an ideal monatomic gas are $${C_v} = {3 \over 2}R$$, $${C_p} = {5 \over 2}R$$, and those for an ideal diatomic gas are $${C_v} = {5 \over 2}R$$, $${C_p} = {7 \over 2}R$$.

JEE Advanced 2014 Paper 2 Offline Physics - Heat and Thermodynamics Question 24 English Comprehension

Consider the partition to be rigidly fixed so that it does not move. When equilibrium is achieved, the final temperature of the gases will be

A
550 K
B
525 K
C
513 K
D
490 K
4
JEE Advanced 2014 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

In the figure a container is shown to have a movable (without friction) piston on top. The container and the piston are all made of perfectly insulating material allowing no heat transfer between outside and inside the container. The container is divided into two compartments by a rigid partition made of a thermally conducting material that allows slow transfer of heat. The lower compartment of the container is filled with 2 moles of an ideal monatomic gas at 700 K and the upper compartment is filled with 2 moles of an ideal diatomic gas at 400 K. The heat capacities per mole of an ideal monatomic gas are $${C_v} = {3 \over 2}R$$, $${C_p} = {5 \over 2}R$$, and those for an ideal diatomic gas are $${C_v} = {5 \over 2}R$$, $${C_p} = {7 \over 2}R$$.

JEE Advanced 2014 Paper 2 Offline Physics - Heat and Thermodynamics Question 23 English Comprehension

Now consider the partition to be free to move without friction so that the pressure of gases in both compartments is the same. Then total work done by the gases till the time they achieve equilibrium will be

A
250 R
B
200 R
C
100 R
D
$$-$$100 R
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