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Q. The time period of a freely suspended magnetic needle does not depend upon

Moving Charges and Magnetism

Solution:

The time period of oscillation of a bar magnet suspended in air is given by
$T =2 \pi \sqrt{\frac{ I }{ MB _{ H }}}$
It depends on , Moment of Inertia( depends on length and breadth of the magnet), magnetic moment and earth's horizontal magnetic field.