Q98 / 180 · NEET 2019 (All India) · Physics

A body weighs $200 N$ on the surface of the earth. How much will it weigh half way down to the centre of the earth?

A
$150 N$
B
$200 N$
C
$250 N$
Correct answer
D
$100 N$

Solution

Weight

= m g = m \frac{G M}{R^{2}} = W

At half way down to the centre,

W^{'} = \frac{m \frac{G M}{R^{3}} {(\frac{R}{2})}^{3}}{{(\frac{R}{2})}^{2}}

= m \frac{G M}{2 R^{2}}

= 100 N

Hence, the correct answer is option: 'D'.

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