Q.

The angular velocity of earth’s rotation about its axis is ‘ω ’. An object weighed by a spring balance gives the same reading at the equator as at height ‘h’ above the poles . The value of ‘h’ will be

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a

ω2R2g

b

ω2R22g

c

2ω2R2g

d

2ω2R23g

answer is B.

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Detailed Solution

F=mg',g'=g−Rω2cos2⁡ϕ
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The angular velocity of earth’s rotation about its axis is ‘ω ’. An object weighed by a spring balance gives the same reading at the equator as at height ‘h’ above the poles . The value of ‘h’ will be