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A sound produces 13 crests and 15 troughs in 3 seconds. When the second crest is produced the first is 2 cm away from the source? Calculate. (a) the wavelength (b) the frequency (c) the wave speed.

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A sound produces 13 crests and 15 troughs in 3 seconds. When the second crest is produced the first is 2 cm away from the source? Calculate.

(a) the wavelength

(b) the frequency

(c) the wave speed.

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(a) Wavelength = distance between two consecutive crests or troughs is 2 cm.

(b) Frequency = \(\frac{Number\;of\;troughs}{Time}\) = \(\frac{15}{3}\) = 5 Hz

(c) Wave speed = \(\frac{Distance}{Time}\)

Distance travelled by wave = 15 x 2 = 30 cm

Time = 3 seconds

Wave speed = \(\frac{30}{3}\) = 10 cm/s

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