Two blocks $1$ and $2$ of equal mass $m$ are connected by an ideal string over a frictionless pulley. The blocks are attached to the ground by springs having spring constants $k_1$ and $k_2$ such that $k_1 > k_2$. Initially,both springs are unstretched. 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 $a_1$ and $a_2$ can be

  • A
    either $(a_1=a_2=\frac{(k_1+k_2) x}{2 m})$ or $(a_1=\frac{k_1 x}{m}-g$ and $a_2=\frac{k_2 x}{m}+g)$
  • B
    $(a_1=a_2=\frac{(k_1+k_2) x}{2 m})$ only
  • C
    $(a_1=a_2=\frac{(k_1-k_2) x}{2 m})$ only
  • D
    either $(a_1=a_2=\frac{(k_1-k_2) x}{2 m})$ or $(a_1=a_2=\frac{(k_1 k_2) x}{(k_1+k_2) m}-g)$

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