A mass M, attached to a horizontal spring, executes SHM with a amplitude 
. When the mass 
passes through its mean position then a smaller mass 
is placed over it and both of them move together with amplitude 
. The ratio of 
is:
Text Solution
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… (i)
When a mass 
is placed on mass 
, the new system is of mass 
attached to the spring. New time period of oscillation.
… (ii)
Consider 
is the velocity of mass M passing through mean position and 
velocity of mass ( 
) passing through mean position.
Using, law of conservation of linear momentum
and 
or 
and 
Using eqns (i) and (ii) 
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