The blocks B and C in the figure have mass m each. The strings AB and BC are light having tension `T_(1)` and `T_(2)` respectively. The system is in equilibrium with a constant horizontal forcemg acting on C. Then which one is incorrect.

Options

A. `tan theta_(1) = (1)/(2)`
B. `tan theta = 1`
C. `T_(1) = sqrt5 mg`
D. `T_(2) = mg`

Answer

D

Explanation

`T_(2) cos theta = mg`
`T_(2) sin theta = mg`
`cot theta = 1`
`theta = 45^(@)`
`T_(2) = sqrt2 mg`

`T_(1) cos theta_(1) = T_(2) cos theta_(2) + mg`
`T_(1) sin theta_(1) = T_(2) sin theta_(2)`