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Question

A simple harmonic wave of amplitude 2 units is travelling along x - axis. At a given instant, displacements for two different particles on the wave are 1 unit and 2 units. If the wavelength of the wave is λ, find the distance between them.


A

λ12

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B

λ8

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C

λ24

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D

λ16

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Solution

The correct option is C

λ24


yA = sin 2 π (tT - xλ)

y1 = 1 , A = 2 , 2 π (tT - x1λ) = sin1 (12) = π6 rad.

y1 = 2 , A = 2 , 2 π (tT - x2λ) = sin1 (12) = π4 rad.

tT - x1λ = 112 ; tT - x2λ = 18

Subtract , x1λ - x2λ = 124 ; (x1 - x2) = λ24


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