Question

Sound waves of wavelength 1cm have a velocity of 340m/s in air. What is their frequency? Can this sound can be heard by human ear?

Answer 1

Hello friend
----------------
----------------

Thanks for your question.

=) Given:

Wavelength = 1cm

= 1 x 10^-2m.

Velocity Of sound = 340m/s.

frequency =?

We know that,

Velocity = frequency x Wavelength

frequency = Velocity/wavelength

frequency = 340/1 x 10^-2

frequency = 340 x 10^2

frequency = 340 x 100

frequency = 34000Hz.

This frequency is more than 20,000Hz and thus this sound can not be heard by human ear.

I hope this will helps you.

Thanks.

Answer 2

The required frequency of the sound wave is 34,000 Hz

It is given in the question that,

Wavelength of sound waves is = 1 cm

We have to convert it into metres.

Therefore,

$1 \: cm = 1 \div 100 \: metres$

$1 \: cm = 1 \times {10}^{ - 2} \: metres$

Also, the velocity of sound waves in air is = 340 m/s

By applying this given formula, we can find out the frequency of the sound wave.

$frequency = \frac{velocity}{wavelength}$

$f = \frac{340 \: metres \: per \: second}{1 \times {10}^{ - 2} \: metres }$

$f = 340 \times {10}^{2}$

$f = 34000 \: hertz$

Hence, the required frequency of the sound wave is 34,000 Hz

This sound cannot be heard by humans. It is because the range that humans can hear by their ears is 20 to 20,000 Hz.

Since 34,000 Hz > 20,000 Hz ; so this sound wave cannot be heard by human ear.

Know More:

Frequency of light in air is 4X10^14 Hz when it passes through a medium of reactive index 1.5, three percent change in wavelength of light is:

https://brainly.in/question/39714202

State the relationship between frequently and time period of a wave. The wavelength if variations produced on the surface of water is 2cm. If the wave velocity is 16m/s, find its frequency and time period.

https://brainly.in/question/1101301

#SPJ3