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Q.

The maximum particle velocity is 3 times the wave velocity of a progressive wave.  If the amplitude of the particle is "a".  The phase difference between the two particles separated by a distance of 'x' is

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a

xa

b

3xa

c

3ax

d

3πxa

answer is B.

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Detailed Solution

Maximum particle velocity v=aω

Wave velocity = fλ

Particle velocity = 3 (wave velocity)

a.2πf=3fλ

λ=2πa3

Phase difference = 2πλ  (Path difference)

=2π2πa3(x)

=3xa

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