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)`

Answer

A

Explanation

Before cutting the strip:
After cutting the Strip:
`a_(A)=(4mg-3mg)/(3m)=(g)/(3)`
`a_(B)=(mg)/(m)=g` .