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If the Earth shrinks to 50% of its real ...

If the Earth shrinks to 50% of its real radius its mass remaining the same, the weight of a body on the Earth will :

A

decrease by 50%

B

increase by 50%

C

decrease by 25%

D

increase by 300%

Text Solution

Verified by Experts

The correct Answer is:
C
`(g_(1))/(g_(2)) = ((R_(1))/(R_(2)^(2)))` `R_(2) = (R)/(2)`
`therefore (g_(1))/(g_(2)) = (((R)/(2))/(R))^(2) = (1)/(4) = 25%`
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