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Question

A magnetic needle of magnetic moment 6.7×102 Am2 and moment of inertia 7.5×106 kg m2 is performing simple harmonic oscillations in a magnetic field of 0.01 T. Time taken for 10 complete oscillations is - (in second)

A
6.65
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B
6.647
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C
6.64
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Solution

Given:
M=6.7×102 Am2
I=7.5×106 kg m2
B=0.01 T
Time period of oscillation of needle is given by
T=2πIMB
T=2π7.5×1066.7×102×0.01
T=2π7567×100
T=2π10×7567×10
Time taken for for 10 oscillation is
t=10T=2π7567
T=6.28×7567=6.65 s

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