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Q.

A bar magnet is freely suspended in such a way that, when it oscillates in the horizontal plane. It makes 20 oscillations per minute at a place, where dip angle is 30o and 15 oscillations per minute at a place, where dip angle is 60o. Ratio of total earth's magnetic field at these two places:

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a

93:16

b

9:3

c

3:16

d

16:93

answer is D.

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T=2πIMBH=2πIMBecos⁡θT∝1Becos⁡θ

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A bar magnet is freely suspended in such a way that, when it oscillates in the horizontal plane. It makes 20 oscillations per minute at a place, where dip angle is 30o and 15 oscillations per minute at a place, where dip angle is 60o. Ratio of total earth's magnetic field at these two places: