Question

Find the frequency of sound waves in air if the distance between a compression and an adjacent rarefaction is 0.5 mm . Speed of sound waves in air is 330 m/s

Answer 1

Answer:

Example..

Distance between successive compressions and rarefactions = Wavelength = 1m

Velocity of sound = 360m/s

According to the formula,

Velocity = frequency *Wavelength

360=f*1

f=360Hz !!!ANSWER!!!

The question is easy but the catch is that:

Distance between successive compressions and rarefactions is also known as Wavelength.

Answer 2

The frequency of the sound waves in air is $6.6\times 10^5\ Hz$.

Explanation:

Given that,

The speed of sound wave, v = 330 m/s

The distance between a compression and an adjacent rarefaction is 0.5 mm or 0.0005 m

To find,

The frequency of sound waves in air

Solution,

The distance between a compression and an adjacent rarefaction is called wavelength of a wave. The formula of the speed of sound is given by :

$v=f\times \lambda$

$f=\dfrac{v}{\lambda}$

$f=\dfrac{330\ m/s}{0.0005\ m}$

f = 660000 Hz

$f=6.6\times 10^5\ Hz$

So, the frequency of the sound waves in air is $6.6\times 10^5\ Hz$.

Learn more,

Speed of sound wave

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