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

For outer mass : `T=mg`
for inner mass : `2T cos theta = sqrt(2) mg`
`2(mg)cos theta=sqrt(2)mg`
`cos theta=1/sqrt(2)`
`theta=45^(@)`