Audible range of frequencies is 20 Hz to 20000hz. Find the range of wavelengt. corresponding to this frequency. Given velocity of sound=340m/s.
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The range of wavelength corresponding to audible frequency is 17m to 0.017m.
Explanation:
Wavelength and frequency are inversely proportional to each other. Here the speed of sound is given as 340 m/s. The equation connecting wavelength, frequency, and speed is given by;
Speed = Wavelength × Frequency
∴ Wavelength (λ) = Speed (v) / Frequency (γ)
Wavelength corresponding to 20 Hz Frequency can be calculated as:
λ = v/γ = 340/20 = 17 m
Wavelength corresponding to 20000 Hz Frequency can be calculated as:
λ = v/γ = 340/20000 = 0.017 m
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