A uniform metre rod is bent into `L` shape with the bent arms at `90^@` to each other. The distance of the centre of mass from the bent point is

Options

A. on the bisector of the angle, (1/sqrt(2)m from vertex
B. on the bisector of angle, `(1/(2sqrt2))`m from vertex
C. on the bisector of the angle, 1/2 m from vertex
D. on the bisector of the angle, `(1/(4sqrt(2)))`m from vertex

Answer

D

Explanation

`OC_(1) = 1/4m`

`OC=OC_(1) cos 45^(@)=(1)/(4sqrt(2))`m