Moment of inertia of a uniform rod of mass m and length l is `(7)/(12)ml^(2)` about a line perpendicular to the rod. Find the distance of this line from the middle point of the rod.

Options

A. `l/2`
B. `l/sqrt2`
C. `l/4`
D. `l/sqrt3`

Answer

B

Explanation

`I=I_(cm)+md^2`
`(7ml)/12 =(ml^2)/12 + md^2 impliesd^2 =l^2/2`

`d=l/sqrt2`