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Variation of g with Height

A body weighs...

Question

A body weighs $250 N$ on the surface of the earth. How much it weighs half way down to the centre of the earth ?

A

250 N

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B

125 N

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C

111 N

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D

75 N

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Solution

The correct option is B $125 N$
We know that, the weight of an object at a depth from the surface of the Earth is given by,

$W^{'} = W_{0} (1 - \frac{d}{R})$

i.e. $W^{'} = W_{0} (1 - \frac{1}{2}) = \frac{W_{0}}{2}$

$= 125 N$

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