Q.

A block A of mass 1.6 kg kept on a horizontal surface is connected to one end of a horizontal spring whose other end is fixed to a rigid vertical wall. The spring and block A system is executing simple harmonic motion with an amplitude of 10 cm. Another block B of mass 0.9 kg is kept on the block A when block A is passing through its equilibrium position. The amplitude of  oscillation of the system of spring, block A and block B is

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a

12 cm

b

16 cm

c

8 cm

d

4 cm

answer is B.

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Detailed Solution

From conservation of linear momentum mAω =(m+M)A'ω'

Substituting ω=km  and ω'=km+M and m=1.6 and M=0.9 kg

we get A'=8 cm

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