KVPY SX SB Exam 2012 Question Paper

Two blocks (1 and 2) of equal mass m are connected by an ideal string (see figure below) over a frictionless pulley. The blocks are attached to the ground by springs having spring constants ${\mathit{k}}_1$ and ${\mathit{k}}_2$ such that ${\mathit{k}}_1>{\mathit{k}}_2$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 magnitudes of the accelerations of the blocks ${\mathit{a}}_1$ and ${\mathit{a}}_2$ can be