Question

A source is producing 30 waves in 3 seconds. The distance between a crest and the adjacent
trough is 5 cm. Find the velocity of the wave?
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Answer 1

The velocity of the wave is 1 m/s.

Explanation:

A source is producing 30 waves in 3 seconds. The number of waves p[er second is called frequency. It is given by :

$f=\dfrac{n}{t}$

$f=\dfrac{30}{3}$

f = 10 Hz

The distance between a crest and the adjacent  trough is 5 cm. The distance between two adjacent crest or trough will be 10 cm or 0.1 m

Let v is the velocity of the wave. It is given by :

$v=f\times \lambda$

$v=10\ Hz\times 0.1\ m$

v = 1 m/s

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

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