Q.

Acceleration due to gravity at the pole of earth is g, at the equator it is gn (n>1). If R be the ratios of earth then time period of spin of earth is

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a

2πRng

b

2πRng(n−1)

c

2πRg(n−1)

d

2πRng(n+1)

answer is B.

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Detailed Solution

Earth's spin has no effect on acceleration due to gravity at the poles. ∴ At the equator, gn=g−ω2R
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Acceleration due to gravity at the pole of earth is g, at the equator it is gn (n>1). If R be the ratios of earth then time period of spin of earth is