Question

What is the frequency of sound waves whose wavelength is 0.25 m on a day when the air temperature is 25 degree Celsius? Group of answer choices
1200 Hz
1384 Hz
1730 Hz
2400 Hz
3000 Hz

Answer 1

Answer:

Frequency, f = 1384 Hz                                                                

Explanation:

It is given that,

Wavelength of the sound wave, $\lambda=0.25\ m$

Air temperature, T = 25° C

The speed of sound at a particular temperature is calculated as :

$v=331.5+0.6\times T$

$v=331.5+0.6\times 25$

v = 346.5 m/s

Let f is the frequency of the sound wave. It can be calculated as :

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

$f=\dfrac{346.5\ m/s}{0.25\ m}$

f = 1386 Hz

or

f = 1384 Hz

So, the frequency of sound waves is 1384 Hz. Hence, this is the required solution.

Answer 2

Answer:1384 Hz

Explanation:

Given

wavelength$(\lambda )$=0.25 m

Temperature T$=25^{\circ}$

at $T=25^{\circ}$ velocity of sound is 346 m/s

and we know

$velocity=frequency\times \lambda$

$v=f\times \lambda$

$346=f\times 0.25$

f=1384 Hz