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Question

The equation of a simple harmonic progressive wave is given by y = A sin (100πt3x). Find the distance between 2 particles having a phase difference of π3.

A
π9m
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B
π18m
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C
π6m
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D
π3m
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Solution

The correct option is B π9m
The equation of the wave form y=Asin(ωtkx) has wavelength of value
λ=2πk=2π3
Distance between two points having phase difference ϕ=x2x1=λ2π×ϕ
=2π/32π×π3m=π9m

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