A block A of mass M is placed in contact with a fixed spring of length l and force constant k and free from a smooth wall at a distance l on the other side. If the block is given a velocity v as shown, the time taken by the block to strike on the wall will be

Options

A. `pi sqrt((M)/(k)) + (l)/(v)`
B. `pi sqrt((M)/(k))`
C. `2pi sqrt((M)/(k)) + (2l)/(v)`
D. `pi sqrt((M)/(k)) + (2l)/(v)`

Answer

D

Explanation

The block will be undergoing SHM while in contact with the spring i.e. for half the time period `pi//omega`
`T = pi sqrt((M)/(k)) + (2l)/(v)`