If radius of solid sphere is doubled by keeping its mass constant, then

Options

A. `(I_(1))/(I_(2))=(1)/(4)`
B. `(I_(1))/(I_(2))=(4)/(1)`
C. `(I_(1))/(I_(2))=(3)/(2)`
D. `(I_(1))/(I_(2))=(2)/(3)`

Answer

A

Explanation

`(I_(2))/(I_(1))=((2)/(5)MR_(2)^(2))/((2)/(5)MR_(1)^(2))=((R_(2))/(R_(1)))^(2)=(4)/(1)`
`therefore (I_(1))/(I_(2))=(1)/(4)`.