Bar Magnet

Practice Questions:

Question 11: moderate

Two bar magnets with magnetic moments 2M and M are fastened together at right angles to each other at their centres to form a crossed system, which can rotate freely about a vertical axis through the centre. The crossed system sets in earth’s magnetic field with magnet having magnetic moment 2M making and angle θ with the magnetic meridian such that :

1. \[\theta=tan^{-1}\left( \frac{1}{\sqrt{3}} \right)\]

2. \[\theta=tan^{-1}\left( \sqrt{3} \right)\]

3. \[\theta=tan^{-1}\left( \frac{1}{{2}} \right)\]

4. \[\theta=tan^{-1}\left( \frac{3}{{4}} \right)\]

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Question 12: moderate

Time period for a magnet is T. If it is divided in four equal parts along its axis and perpendicular to its axis as shown then time period for each part will be :

1. 4 T

2. T/4

3. T/2

4. T

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Question 13: easy

A bar magnet is placed inside a non-uniform magnetic field. It may experience :

1. force and torque

2. force but not torque

3. torque but not force

4. Neither force nor torque

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Question 14: difficult

A square coil of side ‘a’ carrying current ‘ i ’ and is having one of its side AB parallel to
y-axis and its plane is at angle θ = 30° with x-axis. If a uniform magnetic field B exist in
the region along \[\hat{k}\] direction, then torque due to magnetic force on the coil is:

1. \[\frac{ia^{2}B}{2}\hat{j}\]

2. \[-\frac{ia^{2}B}{\sqrt{2}}\left(-\hat{k}+ \hat{j} \right)\]

3. \[-\frac{ia^{2}B}{2}\hat{j}\]

4. \[\frac{ia^{2}B}{2}\hat{i}\]

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