Question

The wavelength and frequency of a sound wave ein certain medium are 20 cm and 1650hz respectively keeping the mediumsame if the wave length is changed to 16cm calculate the velocity and the new frequency of the sound wave

Answer 1

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Answer 2

The new frequency of the sound wave is 2063 Hz.

Explanation:

The wavelength of sound in medium 1,  $\lambda=20cm=0.2m$

The wavelength of sound in medium 2, $\lambda_2=16cm=0.16m$.

The frequency of the sound in medium 1, $f_1=1650Hz$.

Use velocity, wavelength and frequency relation as,

$v=f\lambda$

Here v is the velocity.

For first medium,

v = 1650 Hz x 0.2 m

v = 330 m/s.

As second medium is same as first, so velocity of sound is same for both the medium.

Now frequency for wavelength 16 cm,

$330m/s=f_2\times0.16m$

$f_2=\frac{330m/s}{0.16m} =2062.5Hz$

   = 2063 Hz.

Thus, new frequency of the sound wave is 2063 Hz.

#Learn More: velocity, wavelength and frquency.

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