If the earth shrinks of half of its radius its mass remaining same the weight of the object on the earth will change to

Options

A. 2 times
B. 6 times
C. 4 times
D. no change at all

Answer

c

Explanation

`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).`