Two uniform rods of equal length but different masses are rigidly joined to form an L-shaped body, which is then pivoted as shwon. If in equilibrium, the body is in the shown configuration, ratio `M//m will be

Options

A. 2
B. 3
C. `sqrt2`
D. `sqrt3`

Answer

D

Explanation

Net torque about O should be zero
`Mg d_1 = mg d_2`
`rArr Mg l/2 sin 30^@ = mg l/2 sin 60^@`
`M/m=(sin 60^@)/(sin 30^@)=sqrt3`