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Q.

The displacement of a particle from its mean position (inmeter) is given by y=0.2sin(10πt+1.5π)cos(10πt+1.5π) . The motion of the particle is

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a

Periodic but not SHM

b

SHM with period 0.1sec

c

SHM with period 0.2 sec

d

Non – Periodic

answer is C.

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Detailed Solution

y=0.2sin(10πt+1.5π)cos(10πt+1.5π)

y=0.1×2sin(10πt+1.5π)cos(10πt+1.5π)

y=0.1sin(20πt+3π)(1)

y=Asin(ωt+ϕ)(2)

ω=20π

2πT=20π

T=0.1sec

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