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.

The wavelength and frequency are inversely proportional. So when frequency increases the wavelength decreases. Second statement is true.  

The relationship between the frequency and wavelength of a wave can best define by the equation:

v=λf

Where,

v -velocity of the wave

λ -wavelength

f -frequency.  

Divide the equation by f, we get:

From the equation, the wavelength and frequency are inversely proportional. So when frequency increases the wavelength decreases.  

Therefore, the second statement is true. when frequency increases the wavelength decreases.

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