Question

What is the frequency of a sound wave with a wavelength of 1.66 meters traveling through the air at a speed of 332 meters / second?
​

Answer 1

Answer:

Explanation:

The velocity of sound = wavelength × frequency

So, v=λf

The frequency of sound waves in air, f=  

λ

v

​  

=  

2

332

​  

=166Hz

The frequency does not depend on medium.  

Thus, velocity in water v=λ  

w

​  

×f=(850)(166)=141100cm/s=1411m/s

Answer 2

Concept:

• Sound waves
• By using adiabatic compression and decompression, acoustic or sound waves are a sort of energy that propagates through a medium.
• Acoustic pressure, particle velocity, particle displacement, and acoustic intensity are crucial parameters for defining acoustic waves.
• Relating velocity, wavelength and frequency of sound waves
• The velocity of a sound wave is the product of the wavelength and the frequency

Given:

• The wavelength of the wave λ  = 1.66 m
• The velocity of the wave v = 332 m/s

Find:

• The frequency of the wave f

Solution:

We know that the velocity of the wave is the product of the wave's frequency and wavelength

v = λf

f = λ/v

f = 1.66/332 = 0.005

The frequency of the sound wave is 0.005 Hz.

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