A magnetic needle of magnetic moment 6 .7 × 10 - 2   A   m 2 and moment of inertia 7 .5 &#215…

A magnetic needle of magnetic moment 6.7×10-2 A m2 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:
  1. 8.76 s
  2. 6.65 s
  3. 8.89 s
  4. 6.98 s

Solution

Time period of oscillating magnetic needle is   T=2πIMB

=2π7.5×10-66.7×10-2×0.01 sec

=0.6647 sec

Time for oscillations, t=10 T=6.647 sec=6.65 sec

Asked in: JEE Main 2017 (02 Apr)

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