Question

do all frequencies of sound travel with the same velocity?
multiple choice
yes, if the frequency is constant according to ( t = 1 / f )
yes, because sound wavelengths are inversely proportional to frequency
no, because ( v = d / t )
no, because velocity does not equal ( lambda f )

Explanation:

The speed of sound \(v\) in a medium is given by the formula \(v = f\lambda\), where \(f\) is the frequency and \(\lambda\) is the wavelength. In a given medium (e.g., air at a constant temperature), the speed of sound is constant. If the frequency \(f\) changes, the wavelength \(\lambda\) changes inversely (\(\lambda=\frac{v}{f}\)) so that the product \(f\lambda\) (which is the speed \(v\)) remains the same.

Answer:

Yes, because sound wavelengths are inversely proportional to frequency.