MCQ

Share

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 $k_1$ 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 $\left(a_1=a_2=\frac{\left(k_1+k_2\right) x}{2 m}\right)$ or $\left(a_1=\frac{k_1 x}{m}-g\right.$ and $\left.a_2=\frac{k_2 x}{m}+g\right)$
   
• ✓
  $\left(a_1=a_2=\frac{\left(k_1+k_2\right) x}{2 m}\right)$ only
• C
  $\left(a_1=a_2=\frac{\left(k_1-k_2\right) x}{2 m}\right)$ only
• D
  either $\left(a_1=a_2=\frac{\left(k_1-k_2\right) x}{2 m}\right)$ $\text { or }\left( \alpha _1=a_2=\frac{\left(k_1 k_2\right) x}{\left(k_1+k_2\right) m}-g\right)$