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A body weighs 250N on the surface of the...

A body weighs 250N on the surface of the earth. How much will it weighs half way down to the centre of the earth?

A

125 N

B

150 N

C

175 N

D

250 N

Text Solution

Verified by Experts

The correct Answer is:
A
(a) Let m be mass of a body.
`:.` Weight of the body on the surface of the earth is W=mg=250N
Acceleration due to gravity at a depth d below the surface of the earth is
`g'=g=(1-(d)/(R_(E)))`
Weight of the body at depth d is
`W'=mg'=mg(1-(d)/(R_(E)))`
Here, `d=(R_(E))/(2)`
`:. W'=mg(1-(R_(E)//2)/(R_(E)))=(mg)/(2)=(W)/(2)=(250 N)/(2)=125 N`
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