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Question

Find the minimum and maximum wavelengths of sound in water that is in the audible range (20−20000 Hz) for an average human ear. Speed of sound in water = 1450 m s−1.

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Solution

Given:
Speed of sound in water v = 1450 ms−1
Audible range for average human ear = (20-20000 Hz)
Relation between frequency (f) and wavelength (λ) with constant velocity:
f1λ
(a) For minimum wavelength, the frequency should be maximum.

Frequency f = 20 kHz

As v=fλ, λ=vf. λ=145020×103λ=7.25 cm

(b) For maximum wave length, the frequency should be minimum.

f = 20 Hz
v=fλ λ=145020=72.5 m
∴ λ = 72.5 m

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