Two blocks (1 and 2) of equal mass m are connected by an ideal string (see figure shown) over a frictionless pulley. The blocks are attached to the ground by springs having spring constants `k_(1)` and `k_(2)` such that `k_(1) gt k_(2)`

Initially, both springs are unstretched. The block 1 is slowly pulled down a distance x and released. Just after the release the possible values of the magnitude of the acceleration of the blocks `a_(1)` and `a_(2)` can be–

Options

A. Either `(a_(1) = a_(2)=((k_(1)+k_(2))x)/(2m))` or `(a_(1)(k_(1)x)/(m)-g and a_(2) = (k_(2)x)/(m)+g)`
B. `(a_(1) = a_(2)=((k_(1)+k_(2))x)/(2m))` only
C. `(a_(1) = a_(2)=((k_(1)-k_(2))x)/(2m))` only
D. `(a_(1) = a_(2)=((k_(1)-k_(2))x)/(2m))` or `(a_(1) = a_(2)=((k_(1)k_(2))x)/((k_(1)+k_(2))m)-g)`

Answer

B