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Q.

The phase difference between two particles executing SHM of the same amplitudes and frequency along same straight line while passing one another when going in opposite directions with equal displacement from their respective stating point is 2π/3. If the phase of one particle is π/6, find the displacement at this instant, if amplitude is A

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a

A/3

b

2A/3

c

3A/4

d

A/2

answer is D.

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Detailed Solution

 Phase difference δ=2π3=δ2δ1=δ2π6

 δ2=5π6; and sinδ1=sinδ2=12

Displacement is measured from starting point (t=0)

 So,  x=Asinωt+δ1=Asin0+π6=A2

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The phase difference between two particles executing SHM of the same amplitudes and frequency along same straight line while passing one another when going in opposite directions with equal displacement from their respective stating point is 2π/3. If the phase of one particle is π/6, find the displacement at this instant, if amplitude is A