Answer:
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.
