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Question

Find out the correct relation for the dependance of change in acceleration due to gravity on the angle at the latitude due to rotation of earth?

A
dgcosϕ
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B
dgcos2ϕ
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C
dgcos3/2ϕ
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D
dg1cosϕ
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Solution

The correct option is B dgcos2ϕ
We know that, the effective gravity g at a latitude ϕ is given as
g=gω2R(cosϕ)2
Thus, gg=dg=ω2R(cosϕ)2

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