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

Options

A. 2
B. 3
C. `sqrt(2)`
D. `sqrt(3)`

Answer

D

Explanation

Net torque about O should be zero

`:. "Mg"(1)/(2)sin 30^(@)="mg"(1)/(2)sin 60^(@)`
`(M)/(m)=(sin 60^(@))/(sin 30^(@))=sqrt(3)`.