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. along the wall
B. `(g)/(2)`
C. `(g)/(3)`
D. `(3g)/(2)`

Answer

C

Explanation

( c ) Given, `m_(1)=M,m_(2)=M//2`
`therefore a=((m_(1)-m_(2))g)/((m_(1)+m_(2)))=((m-M//2)g)/((m+M//2))=(g)/(3)`