Question

In the figure, the block of mass m, attached to the spring of stiffness k is in correct with the completely elastic wall, and the compression in the spring is e. The spring is compressed further by e by displacing the block towards left and is then released. If the collision between the block and the wall is completely eleastic then the time period of oscillation of the block will be

A. `(2pi)/(3)sqrt((m)/(k))`
B. `2pisqrt((m)/(k))`
C. `(pi)/(3)sqrt((m)/(k))`
D. `(pi)/(6)sqrt((m)/(k))`

Answer 1

Correct Answer - A
(a) From e to `2e` or `(A)/(2)` to A, `t=(T)/(6)`
`therefore` Time period of oscillation `=2t=(T)/(3)=(2pi)/(3)sqrt((m)/(k))`