In the system as shown in figure, the blocks have masses `m_(1)` and `m_(2)`, the spring constant is k, coefficient of friction between the block of mass `m_(1)` and the surface is `mu`. The system is released with zero initial speed from the position where the spring is in its natural length.

Options

A. The maximum possible speed of the blocks is `g(m_(2)-mum_(1))/(sqrt(k(m_(1)+m_(2))))`
B. The maximum possible speed of the blocks is `g(mum_(1))/sqrt(k(m_(1)+m_(2)))`
C. The maximum possible speed of the blocks if friction is absent is `(gm_(2))/(sqrt(k(m_(1)+m_(2))))`
D. The maximum possible speed of the blocks if friction is absent is `(gm_(1))/(sqrt(k(m_(1)+m_(2))))`

Answer

A, C