Question

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

Answer 1

decrease

Explanation:

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

Answer 2

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

`fxxlambda = (cancel("cycles"))/("second")xx("meters")/(cancel("cycle"))`

`color(white)("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.