What should be the ratio between the length and radius of the uniform solid cylinder so that its moment of inertia about central axis is the same as that about equatorial axis ?

Options

A. `1:sqrt(3)`
B. `sqrt(3):1`
C. `(1)/(sqrt(3)):(1)/(sqrt(2))`
D. `sqrt(3):sqrt(2)`

Answer

B

Explanation

Here `(1)/(2)MR^(2)=M[(l^(2))/(12)+(R^(2))/(4)]`
or `(l^(2))/(R^(2))=(3)/(1)or(l)/(R)=sqrt(3)/(1)`