In the system shown in figure ${\mathrm{m}}_1>{\mathrm{m}}_2$. System is held at rest by thread BC. Just after the thread BC is burnt.

$\mathrm{acceleration} \mathrm{of} {\mathrm{m}}_1 \mathrm{will} \mathrm{be} \mathrm{equal} \mathrm{to} \mathrm{zero}$

$$\begin{gathered} \mathrm{magnitude} \mathrm{of} \mathrm{acceleration} \mathrm{of} \mathrm{two} \\ \mathrm{blocks} \mathrm{will} \mathrm{be} \mathrm{non} -\mathrm{zero} \mathrm{and} \mathrm{unequal} \end{gathered}$$

$\mathrm{acceleration} \mathrm{of} {\mathrm{m}}_2 \mathrm{will} \mathrm{be} \mathrm{downwards}$

$$\begin{gathered} \mathrm{maginitude} \mathrm{of} \mathrm{accelration} \mathrm{of} \mathrm{both} \mathrm{the} \\ \mathrm{blocks} \mathrm{will} \mathrm{be} \left(\frac{{\mathrm{m}}_1-{\mathrm{m}}_2}{{\mathrm{m}}_1+{\mathrm{m}}_2}\right)g \end{gathered}$$