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Two blocks A and B of masses m & 2m placed on smooth horizontal surface are connected with a light spring. The two blocks are given velocities as shown when spring is at natural length. (i) Find velocity of centre of mass (b) maximum extension in the spring

When a block of mass m is suspended separately by two different springs have time period t_(1)" and "t_(2) . If same mass is connected to parallel combination of both springs, then its time period is given by :-