Question

multiple choice 7.14 points
if the speed of a wave is constant, what happens to the frequency of the wave if the wavelength increases?
the frequency increases then decreases.
the frequency remains constant.
the frequency increases.
the frequency decreases.

Explanation:

The relationship between wave speed \(v\), frequency \(f\), and wavelength \(\lambda\) is given by the formula \(v = f\lambda\). If \(v\) is constant (i.e., \(v = k\), where \(k\) is a constant), then \(f=\frac{k}{\lambda}\). This is an inverse - relationship. When \(\lambda\) increases, since \(k\) is constant, \(f\) must decrease.

Answer:

The frequency decreases.