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 $^{- 1}$ .

100 cm, 1000 m

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7.25 cm, 72.5 m

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1 cm, 1 m

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None of the above

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Solution

The correct option is B
7.25 cm, 72.5 m

Frequency of sound remains unchanged across various media

So, as the velocity changes in a new medium, wavelength will change to compensate.

$λ_{1} = \frac{v}{f} = \frac{1450}{20} = 72.5 m$

Wavelength for frequency 20 Hz,

Wavelength for frequency, 20000 Hz

$λ_{2} = \frac{1450}{20000} = 0.0725 m$

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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.

The correct option is B 7.25 cm, 72.5 m Frequency of sound remains unchanged across various media So, as the velocity changes in a new medium, wavelength will change to compensate. λ1=vf=145020=72.5 m Wavelength for frequency 20 Hz, Wavelength for frequency, 20000 Hz λ2=145020000=0.0725 m

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 $^{- 1}$ .