Two blocks `A`and `B` ,each of same mass are attached by a thin inextensible string through an ideal pulley .Initially block `B` is held in position as shown in figure.Now , the block `B` is released. Block `A` will slide to right and hit the pulley in time `t_(A)`. Block B swing and hit the surface in time `t_(B)`. Assume the surface as frictionless ,then

Options

A. `t_(A)=t_(B)`
B. `t_(A) lt t_(B)`
C. `t_(A) gt t_(B)`
D. data are not sufficient to get relationship between `t_(A)` and `t_(B)`.

Answer

B

Explanation

`T sin theta lt T`
`:. T_(A)ltt_(B)`