Uniform rod AB is hinged at end A in horizontal position as shown in the figure the other end is connected to a block through a massless string m as shown the pulley is smooth and massless masses of block and rod is same and is equal to m then acceleration of block just after release from this position is

Options

A. `6g//13`
B. `g//4`
C. `3g//8`
D. none

Answer

C

Explanation

for block
`mg-T=ma`
for rod
`Txxl-mgxxl/2= ml^(2)/3xxalpha`
`a=la`
from(1)(2)&(3)we get
`a=(3g)/8`