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Is it true that the higher the frequency, the shorter the wavelength of a sound wave?

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True

False

answer is A.

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Detailed Solution

The above statement is True.
The relationship between the sound wave's speed, frequency, and wavelength is identical for all waves:

v = wf

where

f

is the wave's frequency,

v

is the speed of sound and

w

is the wavelength of sound.
It can also be written as

f = \frac{v}{w}

Since frequency is inversely proportional to the wavelength, the wavelength of a sound decreases with increasing frequency.

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