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Question

Weight of a body on earth's surface is W. At a depth half way to the centre of the earth, it will be (assuming uniform density in earth).
  1. W
  2. W/2
  3. W/4
  4. W/8

A
W/2
B
W/8
C
W
D
W/4
Solution
Verified by Toppr

The variation of g with depth is given by

g=g1dR where d is depth

At a depth half way to the centre of the earth d=R2

g=g1R2R

g=g2

On multiplying both sides by m

mg=mg2

W=W2

At the depth half way, weight becomes half.

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