If the earth shrinks of half of its radius its mass remaining same the weight of the object on the earth will change to
If the earth shrinks of half of its radius its mass remaining same the weight of the object on the earth will change to
A. 2 times
B. 6 times
C. 4 times
D. no change at all
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Correct Answer - c
`R_(2)=(1)/(2)R_(1)`
`(g_(2))/(g_(1))=((R_(2))/(R_(1)))^(2)=(1)/(4)`
`mg_(2)=(g_(1))/(4)m`
`F_(2)=(F_(1))/(4)`
`therefore F_(1)=4F_(2).`
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