Two blocks `m_(1)` and `m_(2)` are pulled on a smooth horizontal surface, and are joined together with a spring of stiffness `k` as shown in Fig. Suddenly, block `m_(2)` receives a horizontal velocity `v_(0)`, then the maximum extension `x_(m)` in the spring is

Options

A. `v_(0)sqrt((m_(1)m_(2))/(m_(1)+m_(2)))`
B. `v_(0)sqrt((2m_(1)m_(2))/((m_(1)+m_(2))k)`
C. `v_(0)sqrt((m_(1)m_(2))/(2(m_(1)+m_(2))k)`
D. `v_(0)sqrt((m_(1)m_(2))/((m_(1)+m_(2))k)`

Answer

D