The weight of a body on the earth is 400 N. Then the weight of the body when taken to a depth half of the radius of the earth will be: [2023]

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Solution

Q.
The weight of a body on the earth is 400 N. Then the weight of the body when taken to a depth half of the radius of the earth will be: [2023]

1 300 N

2 100 N

3 Zero

4 200 N

Ans.
(4)

$W = m g = 400 N$

$At depth d, gravity g' = g (1 - \frac{d}{R})$

$For d = \frac{R}{2}, g' = g (1 - \frac{d}{2 R}) = \frac{g}{2}$

$W' = m g' = \frac{m g}{2} = 200 N$

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