Question

multiple choice 17 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 increases.
the frequency decreases.
the frequency remains constant.

Explanation:

Step1: Recall the wave speed formula

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

Step2: Analyze the relationship when \(v\) is constant

Given \(v\) is constant. If \(\lambda\) increases, from \(f=\frac{v}{\lambda}\), when \(v\) is fixed (\(v = k\), a constant), as \(\lambda\) gets larger, \(f\) must decrease.

Answer:

The frequency decreases.