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Question

A sine wave of wavelength lamda is travelling in a medium. What is the minimum distance between two particles of the medium which always have the same speed?

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Solution

Dear student
In a sine wave particles that are separated by a distance of integral multiple of wavelength move with same velocity that is their displacement at any instant of time from equilibrium positionis the same and they are moving with same speed and in the same directionIn a sine wave particles that are separated by a distance of odd multiple of half the wavelength move with same speed and but in opposite direction.so path differencex=(2n+1)λ2 where( n=0,+1,2,3,4...etc)so the minimum separation isx=λ2Regards

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