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

Options

A. `(g)/(3) `
B. `(3g)/( 2)`
C. `g`
D. `(g)/(2)`

Answer

A

Explanation

Here ` m_1 = M, m_2 = (M )/(2)`
acceleration of the system
` a=((m_1 -m_2 ) g) /(m_1 +m_2) =(( M-(M)/(2))g)/( ( M+(M )/(2))=(g)/(3)`