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A body placed on the earth's surface has...

A body placed on the earth's surface has weight w. If the earth shrinks to half of its radius keeping mass the same. The weight of the same body placed on its surface now shall be

A

4w

B

22w

C

w

D

`(w)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
We have,
Weight of a body on the earth.s surface = w
We know that,
`w = mg` …(i)
and `g= (GM)/(R^(2))`
According to problem,
`g.= (GM)/((R)/(2))^(2)= (4GM)/(R^(2))= 4g`
From Eqs.) and (ii)
We have, Now weight of body
w = 4 mg = 4w
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