Two blocks with masses 
and 
are connected by a spring of spring constant 
and placed on a frictionless horizontal surface. The block 
is imparted an initial velocity 
to the right, the amplitude of oscillation is 
Text Solution
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(2)
The amplitude of oscillations will be the maximum when compression in the spring is maximum. At the time of maximum compression, velocities of both the blocks are equal say 
, then using law of conservation of momentum,
or 
Using law of conservation of energy, we have
Putting the value of 
and solving, we get 
.
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