Two block `A` and `B` of masses `3m` and `m` respectively are connected by a massless and nextensible string. The whole system is suspended by a massless spring as shown in figure. The magnitudes of acceleration of `A` and `B` immediately after the string is cut, are resectively

Options

A. `(g)/(3),g`
B. `g,g`
C. `(g)/(3), (g)/(3)`
D. `g, (g)/(3)`

Explanation

When blocks are at rest
`F = T + 3 mg = 4 mg`
`T = mg`
When string is cut,
Block `A` will move up with acceleration
`F - 3 mg = 3 ma_(A) implies a_(n) = g//3`
Block `B` will move down with acceleration `mg = m a_(B) implies a_(B) = g`