Torque & Magnetic Dipole
PHXII04:MOVING CHARGES AND MAGNETISM

363049 A circular coil of 16 turns and radius 10\(cm\) carrying a current of 0.75\(A\) rests with its plane normal to an external field of magnitude \(5.0 \times {10^{ - 2}}\;T\). The coil is free to turn about an axis in its plane perpendicular to the field direction. When the coil is turned slightly and released, it oscillates about its stable equilibrium with a frequency of \(2.0\;{s^{ - 1}}\). The moment of inertia of the coil about its axis of rotation is (in \(kg - {m^2}\))

1 \(1.8 \times 10^{-4}\)
2 \(1.2 \times 10^{-4}\)
3 \(2.4 \times 10^{-4}\)
4 \(2.0 \times 10^{-4}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363050 A current carrying loop is placed in a uniform magnetic field. The torque acting on it does not depend upon

1 Shape of the loop
2 Area of the loop
3 Value of the current
4 Magnetic field
PHXII04:MOVING CHARGES AND MAGNETISM

363051 Assertion :
Torque on the coil is the maximum when coil is suspended in a radial magnetic field.
Reason :
The torque tends to rotate the coil on its own axis.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Both Assertion and Reason are incorrect.
PHXII04:MOVING CHARGES AND MAGNETISM

363052 A circular loop of radius \(R\) carries 1\(A\) of current in clockwise direction lie on \(x-y\) plane. The torque experienced by this loop due to a uniform magnetic field whose strength \(B_{o}\) making an angle \(45^{\circ}\) with \(\mathrm{x}\)-axis in \(\mathrm{x}-\mathrm{y}\) plane is

1 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}} \hat{k}\)
2 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}}(\hat{i}+\hat{j})\)
3 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}}(-\hat{k})\)
4 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}}(\hat{i}-\hat{j})\)
PHXII04:MOVING CHARGES AND MAGNETISM

363053 Statement A :
The net magnetic force and torque on a current carrying loop in a uniform magnetic field is always zero
Statement B :
Torque on a current carying coil in a magnetic field is given by \(\vec{\tau}=\vec{M} \times \vec{B}\).

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXII04:MOVING CHARGES AND MAGNETISM

363049 A circular coil of 16 turns and radius 10\(cm\) carrying a current of 0.75\(A\) rests with its plane normal to an external field of magnitude \(5.0 \times {10^{ - 2}}\;T\). The coil is free to turn about an axis in its plane perpendicular to the field direction. When the coil is turned slightly and released, it oscillates about its stable equilibrium with a frequency of \(2.0\;{s^{ - 1}}\). The moment of inertia of the coil about its axis of rotation is (in \(kg - {m^2}\))

1 \(1.8 \times 10^{-4}\)
2 \(1.2 \times 10^{-4}\)
3 \(2.4 \times 10^{-4}\)
4 \(2.0 \times 10^{-4}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363050 A current carrying loop is placed in a uniform magnetic field. The torque acting on it does not depend upon

1 Shape of the loop
2 Area of the loop
3 Value of the current
4 Magnetic field
PHXII04:MOVING CHARGES AND MAGNETISM

363051 Assertion :
Torque on the coil is the maximum when coil is suspended in a radial magnetic field.
Reason :
The torque tends to rotate the coil on its own axis.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Both Assertion and Reason are incorrect.
PHXII04:MOVING CHARGES AND MAGNETISM

363052 A circular loop of radius \(R\) carries 1\(A\) of current in clockwise direction lie on \(x-y\) plane. The torque experienced by this loop due to a uniform magnetic field whose strength \(B_{o}\) making an angle \(45^{\circ}\) with \(\mathrm{x}\)-axis in \(\mathrm{x}-\mathrm{y}\) plane is

1 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}} \hat{k}\)
2 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}}(\hat{i}+\hat{j})\)
3 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}}(-\hat{k})\)
4 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}}(\hat{i}-\hat{j})\)
PHXII04:MOVING CHARGES AND MAGNETISM

363053 Statement A :
The net magnetic force and torque on a current carrying loop in a uniform magnetic field is always zero
Statement B :
Torque on a current carying coil in a magnetic field is given by \(\vec{\tau}=\vec{M} \times \vec{B}\).

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
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PHXII04:MOVING CHARGES AND MAGNETISM

363049 A circular coil of 16 turns and radius 10\(cm\) carrying a current of 0.75\(A\) rests with its plane normal to an external field of magnitude \(5.0 \times {10^{ - 2}}\;T\). The coil is free to turn about an axis in its plane perpendicular to the field direction. When the coil is turned slightly and released, it oscillates about its stable equilibrium with a frequency of \(2.0\;{s^{ - 1}}\). The moment of inertia of the coil about its axis of rotation is (in \(kg - {m^2}\))

1 \(1.8 \times 10^{-4}\)
2 \(1.2 \times 10^{-4}\)
3 \(2.4 \times 10^{-4}\)
4 \(2.0 \times 10^{-4}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363050 A current carrying loop is placed in a uniform magnetic field. The torque acting on it does not depend upon

1 Shape of the loop
2 Area of the loop
3 Value of the current
4 Magnetic field
PHXII04:MOVING CHARGES AND MAGNETISM

363051 Assertion :
Torque on the coil is the maximum when coil is suspended in a radial magnetic field.
Reason :
The torque tends to rotate the coil on its own axis.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Both Assertion and Reason are incorrect.
PHXII04:MOVING CHARGES AND MAGNETISM

363052 A circular loop of radius \(R\) carries 1\(A\) of current in clockwise direction lie on \(x-y\) plane. The torque experienced by this loop due to a uniform magnetic field whose strength \(B_{o}\) making an angle \(45^{\circ}\) with \(\mathrm{x}\)-axis in \(\mathrm{x}-\mathrm{y}\) plane is

1 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}} \hat{k}\)
2 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}}(\hat{i}+\hat{j})\)
3 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}}(-\hat{k})\)
4 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}}(\hat{i}-\hat{j})\)
PHXII04:MOVING CHARGES AND MAGNETISM

363053 Statement A :
The net magnetic force and torque on a current carrying loop in a uniform magnetic field is always zero
Statement B :
Torque on a current carying coil in a magnetic field is given by \(\vec{\tau}=\vec{M} \times \vec{B}\).

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXII04:MOVING CHARGES AND MAGNETISM

363049 A circular coil of 16 turns and radius 10\(cm\) carrying a current of 0.75\(A\) rests with its plane normal to an external field of magnitude \(5.0 \times {10^{ - 2}}\;T\). The coil is free to turn about an axis in its plane perpendicular to the field direction. When the coil is turned slightly and released, it oscillates about its stable equilibrium with a frequency of \(2.0\;{s^{ - 1}}\). The moment of inertia of the coil about its axis of rotation is (in \(kg - {m^2}\))

1 \(1.8 \times 10^{-4}\)
2 \(1.2 \times 10^{-4}\)
3 \(2.4 \times 10^{-4}\)
4 \(2.0 \times 10^{-4}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363050 A current carrying loop is placed in a uniform magnetic field. The torque acting on it does not depend upon

1 Shape of the loop
2 Area of the loop
3 Value of the current
4 Magnetic field
PHXII04:MOVING CHARGES AND MAGNETISM

363051 Assertion :
Torque on the coil is the maximum when coil is suspended in a radial magnetic field.
Reason :
The torque tends to rotate the coil on its own axis.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Both Assertion and Reason are incorrect.
PHXII04:MOVING CHARGES AND MAGNETISM

363052 A circular loop of radius \(R\) carries 1\(A\) of current in clockwise direction lie on \(x-y\) plane. The torque experienced by this loop due to a uniform magnetic field whose strength \(B_{o}\) making an angle \(45^{\circ}\) with \(\mathrm{x}\)-axis in \(\mathrm{x}-\mathrm{y}\) plane is

1 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}} \hat{k}\)
2 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}}(\hat{i}+\hat{j})\)
3 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}}(-\hat{k})\)
4 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}}(\hat{i}-\hat{j})\)
PHXII04:MOVING CHARGES AND MAGNETISM

363053 Statement A :
The net magnetic force and torque on a current carrying loop in a uniform magnetic field is always zero
Statement B :
Torque on a current carying coil in a magnetic field is given by \(\vec{\tau}=\vec{M} \times \vec{B}\).

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXII04:MOVING CHARGES AND MAGNETISM

363049 A circular coil of 16 turns and radius 10\(cm\) carrying a current of 0.75\(A\) rests with its plane normal to an external field of magnitude \(5.0 \times {10^{ - 2}}\;T\). The coil is free to turn about an axis in its plane perpendicular to the field direction. When the coil is turned slightly and released, it oscillates about its stable equilibrium with a frequency of \(2.0\;{s^{ - 1}}\). The moment of inertia of the coil about its axis of rotation is (in \(kg - {m^2}\))

1 \(1.8 \times 10^{-4}\)
2 \(1.2 \times 10^{-4}\)
3 \(2.4 \times 10^{-4}\)
4 \(2.0 \times 10^{-4}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363050 A current carrying loop is placed in a uniform magnetic field. The torque acting on it does not depend upon

1 Shape of the loop
2 Area of the loop
3 Value of the current
4 Magnetic field
PHXII04:MOVING CHARGES AND MAGNETISM

363051 Assertion :
Torque on the coil is the maximum when coil is suspended in a radial magnetic field.
Reason :
The torque tends to rotate the coil on its own axis.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Both Assertion and Reason are incorrect.
PHXII04:MOVING CHARGES AND MAGNETISM

363052 A circular loop of radius \(R\) carries 1\(A\) of current in clockwise direction lie on \(x-y\) plane. The torque experienced by this loop due to a uniform magnetic field whose strength \(B_{o}\) making an angle \(45^{\circ}\) with \(\mathrm{x}\)-axis in \(\mathrm{x}-\mathrm{y}\) plane is

1 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}} \hat{k}\)
2 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}}(\hat{i}+\hat{j})\)
3 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}}(-\hat{k})\)
4 \(\dfrac{\pi R^{2} B_{o}}{\sqrt{2}}(\hat{i}-\hat{j})\)
PHXII04:MOVING CHARGES AND MAGNETISM

363053 Statement A :
The net magnetic force and torque on a current carrying loop in a uniform magnetic field is always zero
Statement B :
Torque on a current carying coil in a magnetic field is given by \(\vec{\tau}=\vec{M} \times \vec{B}\).

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.