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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$\frac{x}{a}$

$\frac{3 x}{a}$

$\frac{3 a}{x}$

$\frac{3 π x}{a}$

answer is B.

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Detailed Solution

Maximum particle velocity $v=a ω$

Wave velocity = $f λ$

Particle velocity = 3 (wave velocity)

$a .2 π f = 3 f λ$

$λ = \frac{2 π a}{3}$

Phase difference = $\frac{2 π}{λ}$ (Path difference)

$= \frac{2 π}{\frac{2 π a}{3}} (x)$

$= \frac{3 x}{a}$

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