STANDARDPhysics-Magnetism

STANDARD Physics Magnetic Oscillations MCQ Question

Type: MCQ-numerical-Medium

A magnetic needle has magnetic moment 5.8 × 10⁻² A m² and moment of inertia of 7.8 × 10⁻⁶ kg m², it performs 12 complete oscillations in 6.0 s. What is the magnitude of magnetic field?

A

0.011 T

B

0.021 T

C

0.031 T

D

0.041 T

Correct Answer

Option B

Detailed Explanation

The time period of oscillations is T = 6.0/12 = 0.5 s. Using the formula for magnetic field B = (4π²I)/(MT²), where I = 7.8 × 10⁻⁶ kg m² and M = 5.8 × 10⁻² A m², we find B = 0.021 T.

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