Two masses M and M/2 are joint together by

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Two masses $M$ and $M/2$ are joint together by means of a light inextensible string passes over a frictionless pulley as shown in figure. When bigger mass is released the small one will ascend with an acceleration of

A

$g/3$

B

$3g/2$

C

$g/2$

D

$g$

Two masses $M$ and $M/2$ are joint together by means of a light inextensible string passes over a frictionless pulley as shown in figure. When bigger mass is released the small one will ascend with an acceleration of

$a = \left( {\frac{{{m_2} - {m_1}}}{{{m_1} + {m_2}}}} \right)\;g = \left( {\frac{{m - m/2}}{{m + m/2}}} \right)\;g = \frac{g}{3}$