A certain sound wave travels through water with a certain wavelength, frequency, and wave speed. A second sound wave with twice the frequency of the first wave then travels through the same water. What is the second waves wavelength and wave speed compared to those of the first wave?

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Solution

The speed of the wave do not depend upon the frequency of the wave. So the velocity will be same as the first wave. Now
$v = n λ$ . So the second wave will have half the wavelength as the first wave.

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(1) Sound wave has frequency 320 Hz and wavelength 0.25 m. How much distance will it travel in 10 second.

[Ans : 800 m.]

(2) A sound wave having certain frequency travels with a speed of 336 m/s and wavelength 3 cm. calculate the frequency. Will it be audible?

[11200 Hz, Yes.]

330 m s^{- 1}

110 c m

f

λ

^{- 1}

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