In the given figure, a mass
is attached to a horizontal spring which is fixed on one side to a rigid support. The spring constant of the spring is
. The mass oscillates on a frictionless surface with time period
and amplitude
. When the mass is in equilibrium position, as shown in the figure, another mass
is gently fixed upon it. The new amplitude of oscillation will be -

Text Solution
Verified by ExpertsA

Before placing

After placing
We know that
and 
Also, momentum is conserved just before and just after the block of mass (
) is placed because there is no implusive force. So -





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