A unidirectional force `F` varying with time `t` as shown in the Fig. acts on a body initially at rest for a short duration `2T`. Then the velocity acquired by the body is

Options

A. `(pi F_(0)T)/(4m)`
B. `(pi F_(0)T)/(2m)`
C. `(F_(0)T)/(4m)`
D. zero

Answer

D

Explanation

From `O` to `T`, area is `(+)ve` and from `T` to `2T`, area is `(-)ve`, net area is zero, hence, no change in momentum.