Question

which statement correctly describes the relationship between frequency and wavelength? as the frequency of a wave increases, the longer its wavelength is. as the frequency of a wave increases, the shorter its wavelength is. as the frequency of a wave increases, its wavelength remains the same.

Explanation:

The relationship between frequency ($f$) and wavelength ($\lambda$) of a wave is given by the formula $c = f\lambda$, where $c$ is the speed of the wave (a constant for a given medium). Rearranging for $\lambda$, we get $\lambda=\frac{c}{f}$. This shows an inverse relationship. When $f$ increases, since $c$ is constant, $\lambda$ must decrease.

Answer:

As the frequency of a wave increases, the shorter its wavelength is.