The net magnetic flux through any closed surface is:
1. negative
2. zero
3. positive
4. infinity
Subtopic:  Analogy between Electrostatics & Magnetostatics |
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Given below are two statements:
Assertion (A): Gauss's law for magnetism states that the net magnetic flux through any closed surface is zero.
Reason (R): The magnetic monopoles do not exist. North and South poles occur in pairs, allowing vanishing net magnetic flux through the surface.
 
1. (A) is True but (R) is False.
2. (A) is False but (R) is True.
3. Both (A) and (R) are True and (R) is the correct explanation of (A).
4. Both (A) and (R) are True but (R) is not the correct explanation of (A).
Subtopic:  Analogy between Electrostatics & Magnetostatics |
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Select the correct option based on the statements:
Statement I:  The magnetic field of a circular loop at very far away point on the axial line varies with distance as like that of a magnetic dipole.
Statement II: The magnetic field due to magnetic dipole varies inversely with the square of the distance from the centre on the axial line.
 
1. Statement I is correct and Statement II is incorrect.
2. Statement I is incorrect and Statement II is correct.
3. Both Statement I and Statement II are correct.
4. Both Statement I and Statement II are incorrect.
Subtopic:  Analogy between Electrostatics & Magnetostatics |
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A bar magnet is hung by a thin cotton thread in a uniform horizontal magnetic field and is in the equilibrium state. The energy required to rotate it by \(60^{\circ}\) is \(W\). Now the torque required to keep the magnet in this new position is:
1. \(\dfrac{W}{\sqrt{3}}\)
2. \(\sqrt{3}W\)
3. \(\dfrac{\sqrt{3}W}{2}\)
4. \(\dfrac{2W}{\sqrt{3}}\)

Subtopic:  Analogy between Electrostatics & Magnetostatics |
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A magnetic needle suspended parallel to a magnetic field requires \(\sqrt{3}~\text{J}\) of work to turn it through \(60^\circ\). The torque needed to maintain the needle in this position will be:
1. \(3\) N-m
2. \(\sqrt{3} \) N-m
3. \(\frac32\) N-m
4. \(2\sqrt{3}\) N-m

Subtopic:  Analogy between Electrostatics & Magnetostatics |
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A short bar magnet of magnet moment \(0.4\) JT-1 is placed in a uniform magnetic field of \(0.16\) T. The magnet is in stable equilibrium when the potential energy is:
1. \(0.064\) J
2. \(-0.064\) J
3. zero
4.\(-0.082\) J

Subtopic:  Analogy between Electrostatics & Magnetostatics |
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A bar magnet is oscillating in the Earth's magnetic field with a period \(T\). What happens to this period and motion if this mass is quadrupled:
1. motion remains SHM with time period = \(\frac{T}{2}\)
2. motion remains SHM with time period = \(2T\)
3. motion remains SHM with time period = \(4T\)
4. motion remains SHM with time and period remains nearly constant
Subtopic:  Analogy between Electrostatics & Magnetostatics |
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