Magnetic Dipole — OscillationHardQuestion 20211
Question
A bar magnet of moment m and moment of inertia I oscillates in uniform field B. Its time period is:
- A2π√(I/mB)Correct
- B2π√(mB/I)
- C2π√(I/B)
- D√(mB/I)
Correct answer
2π√(I/mB)
Explanation
Restoring torque = −mB sinθ ≈ −mBθ for small θ. Angular frequency ω = √(mB/I), period T = 2π/ω = 2π√(I/mB).