The separation between two consecutive crests in a transverse wave is $100 m$ . If wave velocity is $20 m s^{- 1}$ , find the frequency of wave.

0.1 H z

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0.2 H z

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0.3 H z

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0.5 H z

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Solution

The correct option is B $0.2 H z$
The distance between any two consecutive crests or trough of a wave is known as the wavelength of the wave.

Hence, here $λ = 100 m$
Also, given , $v = 100 m / s$

The wavelength, wave velocity and frequency relationship is given as follows.

$λ = \frac{v}{f}$ .

From this equation, frequency is derived as $f = \frac{v}{λ}$ .

$f = \frac{20 m / s}{100 m} = 0.2 H z$ .

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The separation between two consecutive crests in a transverse wave is 100 m. If wave velocity is 20 ms−1, find the frequency of wave.

The separation between two consecutive crests in a transverse wave is $100 m$ . If wave velocity is $20 m s^{- 1}$ , find the frequency of wave.