Two block `A`and `B` each of same mass are attached by a thin inextensible string 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 swing and hit the surface in time `t_(B)`. Assume the surface as frictionless ,them

Options

A. `t_(A) gt t_(B)`
B. `t_(A) lt t_(B)`
C. `t_(A) = t_(B)`
D. data insufficient

Answer

B

Explanation

Horizontal displacement of both `(= l)`. Horizontal force on `A` is complete `T`. But horizontal force on `B` is not complete `T`. It is component of `T`. So , horizontal acceleration of `B`will be less.

`:. t_(B) gt t_(A).