The speed of a sound in air is 342.5 m/s. The wavelength of the sound is 0.750 m. What is the frequency of the sound? a. 567HZ b. 457 Hz c. 322HZ d. 674 HZ

b. 457 Hz

Explanation:

Things including sound move like waves in the air. The distance between the crest of those waves is known as the wavelength, denoted by lambda (λ).

The wavelength of a sound can be calculated using the formula: λ = c/f

Where; λ = wavelength

c = speed of sound

f = frequency of sound

According to the question;

Wavelength of sound (λ) = 0.750m

Speed of sound (c) = 342.5m/s

To calculate frequency (f), we make f the subject of the formula in λ = c/f

We initially cross multipy to have; c = λf

Divide both sides by λ to have; f = c/λ

We then calculate by inputting our values into the formula: f = c/λ

f = 342.5/0.750

f = 456.66

Approximately, the value of the frequency of the sound is 457Hz.