Two blocks of masses 2m and m are in equilibrium a shown in the figure. Now the string between the blocks is suddenly broken. The accelarations of the blocks A and B respectively, at that instant are

Options

A. g and g
B. g and `(g)/(2)`
C. `(g)/(2)` and g
D. `(g)/(2) "and " (g)/(2)`

Answer

C

Explanation

( c) T= mg

when the string breaks, T will suddenly disappear,
For B, T-2mg=2ma
3mg-2mg=2ma [T=3 mg]
a=g/2