First slide

Variation of g

Question

How much deep inside the earth (radius R) should a man go, so that his weight becomes one-fourth of that on earth's surface?

Moderate

A

$\frac{R}{4}$
B

$\frac{R}{2}$
C

$\frac{3 R}{4}$
D

none of these

Solution

${mg}_{d} = mg (1 - \frac{d}{R}) \Rightarrow \frac{mg}{4} = mg (1 - \frac{d}{R}) \Rightarrow d = \frac{3}{4} R$

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