First slide

Travelling wave

Question

The equation of a travelling wave is given by
$y = 0 .5 \sin (20 x - 400 t)$ where x and y are in meter and t is in second. The velocity of the wave is

Easy

A

10 m/s
B

20 m/s
C

200 m/s
D

400 m/s

Solution

Given, $y = 0 .5 \sin (20 x - 400 t)$
Comparing with $y = asin (ωt - kx)$
Gives velocity of wave $v = \frac{ω}{k} = \frac{400}{20} = 20 m / s .$

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