A plane mirror having a mass m is tied to the free end of a mass less spring of spring constant k. The other end of the spring is attached to a wall. The spring with the mirror held vertically to the floor on which it can slide smoothly. When the spring is at its natural length, the mirror is found to be moving at a speed of v cm/s. The separation between the images of a man standing before the mirror, when the mirror is in its extreme positions:

Options

A. `vsqrt((m)/(k))`
B. `(v)/(2)sqrt((m)/(k))`
C. `2vsqrt((m)/(k))`
D. `4vsqrt((m)/(k))`