Two loops P and Q are made from a uniform wire. The redii of P and Q are `r_(1)and r_(2)` respectively, and their moments of inertia are `I_(1)and I_(2)` respectively, If`I_(2)=4I_(1),"then" r_(2)/r_(1)"equals"`-

Options

A. `4^(2//3)`
B. `4^(1//3)`
C. `4^(-2//3)`
D. `4^(-1//3)`

Answer

B

Explanation

`I=MR^(2)=(2piRAd)R^(2)`
`or IproptoR^(3)`
`orRproptoI^(1//3)`
`orR_(2)/R_(1)=(I_(2)/I_(1))^(1//3)=(4/1)^(1//3)`