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Question:

Two blocks A and B of masses 3m and m respectively are connected by a massless and inextensible 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 respectively:

g3,g

g,g

g3,g3

g,g3

Solution:

Here block B free falls thus acceleration of block B is g
Force change for block A is mg thus mg = 3ma
a = g/3
Hence acceleration of block A is g/3
Correct option is (C)