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

Frequency, f = 1384 Hz

Step-by-step 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* T`

`v=331.5+0.6* 25`

v = 346.5 m/s

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

`f=(v)/(\lambda)`

`f=(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

Step-by-step 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* \lambda`

`v=f* \lambda`

`346=f* 0.25`

f=1384 Hz