Question

multiple choice 1 point
when you decrease the frequency, the wavelength __________ and the amplitude __________.
shortens; stays the same
stays the same; gets bigger
lengthens; stays the same
stays the same; gets smaller

Explanation:

The relationship between frequency ($f$) and wavelength ($\lambda$) is given by the formula $v = f\lambda$ (where $v$ is the wave - speed). For a wave in a given medium, $v$ is constant. So, $f$ and $\lambda$ are inversely proportional. Amplitude is independent of frequency and wavelength changes under normal circumstances when no external energy - adding or subtracting processes are involved. When frequency decreases, since $v$ is constant, wavelength must increase (lengthen). Amplitude remains the same as it is not affected by this frequency - wavelength relationship change.

Answer:

C. lengthens; stays the same