A magnetic needle of magnetic moment 6.7 × 10–2 Am2 and moment of inertia 7.5 × 10–6 kg m2 is performing simple harmonic oscillations in a magnetic field of 0.01 T. Time taken for 10 complete oscillations is

Engineering

Physics

Magnetic Moment

Question

A magnetic needle of magnetic moment 6.7 × 10^–2 Am² and moment of inertia 7.5 × 10^–6 kg m² is performing simple harmonic oscillations in a magnetic field of 0.01 T. Time taken for 10 complete oscillations is

8.89 s

8.76 s

6.65 s

6.98 s

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

$α = \frac{BM}{I} sinθ$

$≅ \frac{BM}{I} θ$

$ω = \sqrt{\frac{BM}{I}}$

$T = \frac{2 π}{ω} = 2 π \sqrt{\frac{I}{BM}}$

6.65 × 10^–1 s