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Given that sound travels in air at 340 m/sec, find the wavelength of the waves in air produced by 20 kHz sound source.

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Given that sound travels in air at 340 m/sec, find the wavelength of the waves in air produced by 20 kHz sound source. If the same source is put in a water tank, what would be the wavelength of the sound waves in water? (Speed of sound in water = 1480 m/s.)

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Speed of sound in air = 340 m/s

Frequency = 20 kHz = 20 x 103 Hz

Wavelength = ?

∴ Speed = Wavelength x Frequency

v = λ v

∴ λ = \(\frac{v}{v}\) = \(\frac{Speed}{Frequency}\) = \(\frac{340}{20 \times 10^3}\) = 0.017 m

Speed of sound in water = 1480 m/s

Frequency = 20 x 103 Hz

Wavelength = ?

∴ Speed = Wavelength x Frequency

Wavelength = \(\frac{Speed}{Frequency}\)

= \(\frac{1480}{20 \times 10^3}\) = 0.074 m

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