Question

At 0 °C temperature a source of sound of frequency 250 Hz emits sound waves of wavelength 1.32 m. What will be the increase in wavelength at 27 °C?

Answer 1

Answer:

wavelength increases by 0.06875 m

Answer 2

Answer:

Increase in wavelength is = 0.068 m

Explanation:

Since we know that the speed of sound is given by $a= \sqrt{\gamma RT}$

For T = 27+273 = 300 K.

Speed of sound for 300k is = $\sqrt{1.4\times\287\times300} = 347.18 m/s$

We know the relation between speed,frequency and wavelength.

$Speed = wavelength\times frequency$

$347.18 = wavelength\times 250$

$wavelength = \dfrac{347.18}{250} =1.388 m$

So, increase in wavelength is (1.388-1.32) = 0.068 m