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Q.

A magnet is suspended in such a way that it oscillates in the horizontal plane. It makes 20 oscillations per minute at a plane where dip angle is 30o and 15 oscillations per minute at a place where dip angle is 60o. The ratio of earth's magnetic field at two places is

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a

33 : 8

b

16 : 93

c

4 : 9

d

22 : 3

answer is B.

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Detailed Solution

T=2πIMB cosδ⇒ν=12πMB cosδIv=B cosδ or B∝v2cos δB1B2=400cos 30o x cos 60o225=16 x 29 x 3 x 12=16 : 93
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A magnet is suspended in such a way that it oscillates in the horizontal plane. It makes 20 oscillations per minute at a plane where dip angle is 30o and 15 oscillations per minute at a place where dip angle is 60o. The ratio of earth's magnetic field at two places is