Consider the situation shown in figure. All the surface are smooth. The tension in the string connected to `2m` is.

Options

A. `(mg)/(3)`
B. `(4mg)/(3)`
C. `(2mg)/(3)`
D. `mg`

Answer

C

Explanation

`a_(A)=(a_(B)+0)/(2)`
`2a_(A)=a_(B)`
`ma_(B)=m(2a_(A))`
`2T=2m.a_(A)`
From 2(i)+(ii), we get
`2mg=6ma_(A)`
`T'=2ma_(A)=(2mg)/(3)` .