Question

a source is producing 20 waves in 4 second the distance between a crest and the adjacent trough is 10 cm find the velocity of the waves ?​

Answer 1

The velocity of the wave is 1 m/s.

Explanation:

The distance between crest and the adjacent trough is 10 cm or 0.01 m. A source is producing 20 waves in 4 second. We need to find the velocity of the wave.

We know that the distance between two consecutive crest and trough is called wavelength of a wave. Here, the distance between a crest and the adjacent trough is 10 cm. So, the distance between two consecutive crest and trough will be 20 cm.

Number of wave per second is called its frequency, $f=\dfrac{20}{4}=5\ Hz$

Velocity of a wave is given by :

$v=f\lambda$

$v=5\ Hz\times 0.2\ m$

v = 1 m/s

So, the velocity of the wave is 1 m/s. Hence, this is the required solution.

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