AIIMS2018Physics-Magnetism

AIIMS 2018 Physics Magnetic Materials MCQ Question

Type: MCQ-conceptual-Medium-Class 12

A magnetic material is placed in a non-uniform magnetic field which is oriented along z-axis having gradient = dH/dz, then force experienced by the material will be equal to

A

mμ₀ dB/dz

B

2mμ₀ dB/dz

C

3mμ₀ dB/dz

D

4mμ₀ dB/dz

Correct Answer

Option A

Detailed Explanation

When a magnetic material is placed in a non-uniform magnetic field, it experiences a force due to the gradient of the magnetic field strength (H). The force FF on the material can be expressed as F=mμ0dBdzF = m \mu_0 \frac{dB}{dz}, where mm is the magnetic moment of the material and μ0\mu_0 is the permeability of free space. Option A accurately reflects this relationship, while the other options incorrectly multiply the expression by factors that do not correspond to the physical principles governing the interaction between the magnetic material and the magnetic field gradient.

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