a bat can hear sound of frequency upto 135 kilo hertz. Determine the wave length in air at this frequency. Take speed as 264 m/s .
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The relationship between the frequency, wavelength and speed of sound or velocity is given as follows.
Frequencyν=wavelengthλwave velocityv
From the above equation, wavelength is derived as, Wavelengthλ=Frequencyνwavevelocity v
In the question, the velocity of sound is 344 m/s and frequency=120 kHz = 120×103Hz is given.
Therefore,
Wavelengthλ=νv=120×103Hz334m/s=2.87×10−3m.
Hence, the wavelength of the sound wave is given as 2.87×10−3m.
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