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Question

The weight of an object would be minimum when it is placed :

A
At the North Pole
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B
At the South Pole
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C
At the Equator
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D
At the Centre of the Earth
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Solution

The correct option is D At the Centre of the Earth
Answer: D
Value of g at any point on surface of earth is given by:-
g=gω2Rcosφ
At equator cosφ=1 so g=gω2R
Value of cosφ<1 at every point other than equator.
So, g will be more at any point other than equator relative to equator.
Variation of g with depth is given by:
gd=g(1dR)
So, when depth d is maximum g is minimum. So, weight (mg) will also be minimum.

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