In the figure given below, with what accelerating does the block of mass m will move? ( Pulley and strings are massless and frictionless)

Options

A. `(g)/(3)`
B. `(2g)/(5)`
C. `(2g)/(3)`
D. `(g)/(2)`

Answer

C

Explanation

( c) Acceleration `a =[(m_(2)-m_(1))/(m_(2)+m_(1))]g`
`=[(5m-m)/(5m+m)]g=(4m)/(6m)g=(2)/(3)g`