The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle `theta` should be

Options

A. `0^(@)`
B. `30^(@)`
C. `45^(@)`
D. `60^(@)`

Answer

c

Explanation

If `T` is tension in each part of the string holding
mass `sqrt2m` then in equilibrium
`T cos theta + T cos theta = sqrt2 mg`
`2 T cos theta = sqrt2 mg`
But `T = mg , :. 2mg cos theta = sqrt 2mg`
` cos theta = (1)/sqrt2`
`theta = 45^(@)` .