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Two blocks A and B mass m and 2 m respec...

Two blocks A and B mass m and 2 m respectively are connected together by a light spring of stiffness K and natural length l. The system is lying on a smooth horizontal surface with the block A in contact with a fixed vertical wall as shown in the figure. The block B is pressed towards the wall by a distance `x_0` from the natural position of spring and then released. There is no friction anywhere.

If block B is released time t = 0 and A just loses contact with the wall at time ` t = Deltat` then the average acceleration of the centre of mass of the system during the time `t = 0 ` to `t = Deltat` is :

A

`sqrt(2/9K/m)(x_0)/(Deltat)`

B

`sqrt(K/(2m))x_0/(Deltat)`

C

`sqrt((2K)/(m))x_0/(Deltat)`

D

`sqrt((K)/(m))x_0/(Deltat)`

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The correct Answer is:
A
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