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Q.

A mass M, attached to a horizontal spring, executes SHM with amplitude A1. When the mass M passes through its means position then a smaller mass m is placed over it and both of them move together with amplitude A2. The ratio of  A1A2 is

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a

M+mM

b

MM+m1/2

c

M+mM1/2

d

MM+m

answer is C.

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Detailed Solution

Momentum is conservedMA1ω=M+mA2 ω1MA1kM=M+mA2 kM+mA1A2=M+mM
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A mass M, attached to a horizontal spring, executes SHM with amplitude A1. When the mass M passes through its means position then a smaller mass m is placed over it and both of them move together with amplitude A2. The ratio of  A1A2 is