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Physics Wave and Sound Progressive and Successive Waves Single Correct MCQ

Published on: September 13, 2026

The equation of a travelling wave is

$y = 60 \cos(1800t - 6x)$

where y is in microns, t in seconds and x in meters. The ratio of maximum particle velocity to velocity of wave propagation is

$3.6 \times 10^{-11}$

$3.6 \times 10^{-6}$

$3.6 \times 10^{-4}$

3.6

Text Solution

Verified by Experts

The correct answer is:

Maximum particle velocity $\mathbf{v}_{\max} = \omega a$

and wave velocity $\mathbf{v} = \frac{\omega}{k}$

⇒ ⇒ $\frac{v_{\max}}{v} = \frac{\omega a}{\omega / k} = ka$ .

From the given equation $k = Co-efficient of x = 6 micron = 6 \times 10^{-6} m$

$\frac{v_{\max}}{v} = ka = 6 \times 10^{-6} \times 60 = 3.6 \times 10^{-4}$

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