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Question
A sound wave travelling in water has wavelength 0.4 m. Is this wave audible in air? (The speed of sound in water = 1400 m s−1)
Numerical
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Solution
Given Data:
Wavelength (λ) = 0.4 m
Speed of sound in water (v) = 1400 m s−1
Formula:
v = f × λ
f = `v/λ`
= `1400/0.4`
= 3500 Hz
Since the frequency of a sound wave remains the same when it passes from water to air, its frequency in air is also 3500 Hz.
The audible range for the human ear is 20 Hz to 20,000 Hz. Therefore, 3500 Hz lies within the audible range.
Yes, this sound wave is audible in air because its frequency is 3500 Hz, which lies within the audible range of human hearing.
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