A source of wave produces 40 crests and 40 troughs in 0.4 second. Find the frequency of the wave.


Number of crests and trough produced = 40

Time taken, t = 0.4 second

One wave corresponds to 1 crest and 1 trough.

Hence, 40 waves is equal to 40 crests and 4 troughs. 

Therefore, 

Frequency of the wave, 

ν = Number of wavestime taken = 400.4 = 100 Hz
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(a) Ocean waves of time period of 10 s have a speed of 15 m/s. What is the wavelength of these waves?

(b) Find the horizontal distance between a wave crest and the adjoining wave trough. You may assume the waves as harmonic.


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A body is vibrating 6000 times in one minute. If the velocity of sound in air is 360 m/s, find
(i) frequency of vibration in Hz, and
(ii) wavelength of the wave produced.


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A source is producing 15 waves in 3 seconds. The distance between a crest and a trough is 10 cm. Find (i) the frequency, (ii) the wavelength, and (iii) the velocity of the wave.


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A sound wave has a frequency of 2 kHz and wavelength 35 cm. How long will it take to travel 1.5 km?



The time taken by the wave to travel a distance, d of 1.5 km is
Thus

The time taken by the wave to travel a distance, d of 1.5 km is


The time taken by the wave to travel a distance, d of 1.5 km is
Thus

Thus sound will take 2.1 s to travel a distance of 1.5 km.

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