An ideal spring is compressed and placed horizontally between a vertical fixed wall and a block free to slide over a smooth horizontal table to as shown in the figure. The system is released from rest. The graph which represents the relation between the magnitude of acceleration `a` of the block and the distance `x` travelled by it (as long as the spring is compressed) is

Options

A.
B.
C.
D.

Answer

C

Explanation

Let the initial compression of spring to be. Then the acceleration after the block travels a distance x is
`a =(k)/(m)(l-x)`
`:.` The graph of a vs x is