Question

which equations represent the relationship between wavelength and frequency for a sound wave? check all that apply
□ ( v=lambda f )
□ ( lambda=vf )
□ ( f=lambda v )
□ ( lambda=\frac{v}{f} )
□ ( lambda=\frac{1}{v} )
□ ( f=\frac{v}{lambda} )
□ ( f=\frac{lambda}{v} )

Explanation:

Step1: Recall wave - speed formula

The general formula for the speed \(v\) of a wave is \(v=\lambda f\), where \(\lambda\) is the wavelength and \(f\) is the frequency.

Step2: Rearrange the formula for wavelength

Starting from \(v = \lambda f\), we can solve for \(\lambda\) by dividing both sides of the equation by \(f\). So, \(\lambda=\frac{v}{f}\).

Step3: Rearrange the formula for frequency

Starting from \(v=\lambda f\), we can solve for \(f\) by dividing both sides of the equation by \(\lambda\). So, \(f=\frac{v}{\lambda}\).

Answer:

A. \(v = \lambda f\), D. \(\lambda=\frac{v}{f}\), F. \(f = \frac{v}{\lambda}\)