Two identical iniform rods are joined to from a symmetrical 'X'. The smaller angle between the rods is `theta`. The moment of inertia of the system about an axis passing through point of intersection of the rods and perpendcular to their plane is proportional to :

Options

A. `sin^(2) theta`
B. `theta`
C. `cos^(2) theta`
D. independent of `theta`

Answer

D

Explanation

`I_(cm) = (Ml^(2))/(12) + (Ml^(2))/(12)`