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AIIMS 201827 May
Exam
AIIMS
Year
2018
Date
27 May
Subject
Physics
Chapter
Magnetic Properties of Matter

AIIMS 2018 · 27 May · Physics · Magnetic Properties of Matter

A bar magnet of magnetic moment M and moment of inertia I is freely...

A bar magnet of magnetic moment MM and moment of inertia II is freely suspended such that the magnetic axial line is in the direction of magnetic meridian. If the magnet is displaced by a very small angle θ\theta, angular acceleration is (magnetic induction of earth's horizontal field is BHB_H )

Options

  1. AMBHθI\frac{M B_H \theta}{I}
  2. BIBHθM\frac{I B_H \theta}{M}
  3. CMθIBH\frac{M \theta}{I B_H}
  4. DIθMBH\frac{I \theta}{M B_H}

Correct answer

A. MBHθI\frac{M B_H \theta}{I}

Step-by-step solution

Restoring torque on the magnet, τ=−2mBHlsin⁡θ=−MBHsin⁡θ\tau=-2 m B_H l \sin \theta=-M B_H \sin \theta if θ\theta is small sin⁡θ≈θ\sin \theta \approx \theta Iα=−MBHθ;α=MBHθII \alpha=-M B_H \theta ; \alpha=\frac{M B_H \theta}{I}
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