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Question

# Two particle are executing simple harmonic motion of the same amplitude A and frequency ω along the x−axis. Their mean position is separated by distance Xo(Xo>A). If the maximum separation between them is (Xo+A), the phase difference between their motion is

A
π2
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B
π3
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C
π4
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D
π6
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Solution

## The correct option is A π3The SHM equation of 1st particle →x1=Asin(ωt+ϕ1)The SHM equation of 2nd particle →x2=xo+Asin(ωt+ϕ2)Separation →|x1−x2|=xo+Asin(ωt+ϕ1)−Asin(ωt+ϕ2)xo+A=xo+2Asin(ϕ1−ϕ22)sin(ϕ1−ϕ22)=sin(π6)=12∴ϕ1−ϕ2=π3

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