# What happens to the frequency of the wave if its wavelength increases?

Sep 21, 2015

decrease

#### Explanation:

Well the formula is f= 1 / lambda and lambda stands for wavelength

Sep 21, 2015

If the speed of wave propagation remains constant, an increase in the wavelength will result in a decrease in the frequency.

#### Explanation:

To see this relationship more clearly consider the situation where
the frequency ($f$) is in cycles/second
the wavelength ($\lambda$) is in meters/cycle

$f \times \lambda = \left(\cancel{\text{cycles"))/("second")xx("meters")/(cancel("cycle}}\right)$

$\textcolor{w h i t e}{\text{XXX")="meters"/"second"color(white)("XXX}}$(speed)

If Speed is a constant
then an increase in one of $f$ or $\lambda$ must result in a decrease in the other.