Question

the successive crest and trough of a wave 30cm apart find the wavelength also find the frequency of wave if 10 crest and 10 trough are produced in loses

Answer 1

The distance between the a successive crest and consecutive trough is,
lambda/2
So here 30cm = lambda/2
lambda =60cm
lambda=0.6metre
(lambda is the symbol of wavelength)

Frequency=no. of vibrations / second
1 crest and 1 trough makes 1 vibration
so here frequency= 10 Hz

Answer 2

Wavelength, $\lambda=60\ cm$

Frequency, f = 10 Hz

Explanation:

Given that,

The distance between two successive crest and trough of a wave 30 cm. Let $\lambda$ is the wavelength of the wave. We know that the distance between two consecutive crests and the trough is called wavelength of a wave.

So, the distance between successive crest and the trough is 60 cm.

The number of vibrations per unit time is called frequency of a wave. Since, 1 crest and 1 trough makes 1 vibration. So, 10 crest and 10 trough produces 10 vibrations. So, frequency of a wave is 10 Hz.

Hence, this is the required solution.

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Topic : Wavelength and frequency of a wave

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