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Question

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

A
6.98 s
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B
8.76 s
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C
6.65 s
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D
8.89 s
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Solution

The correct option is C 6.65 s
We know that,
time period of oscillation =2πIBM
Where, I is moment of inertia of the needle
B is the magnetic field
M is the magnetic moment
So,
time taken for 10 oscillations =10T
=20πIBM
=20π7.5×106kgm2(0.01T)(6.7×102Am2)
=6.65s
Option C is correct

1107059_870932_ans_2fc044d584c54e98a4797f475ccc0eca.jpg

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