Use the table to answer the question. Student Wavelength Frequency
Darius increase increase
Kathryn increase remain the same
Anya decrease increase
Franco remain the same decrease

Four students write their ideas about the relationship between wavelength and frequency. Which student is correct?

Franco

Kathryn

Darius

Anya

The student which is correct is Anya

Explanation:

The wavelength of a wave is the length of one complete wave cycle and it is represented by Greek letter lambda (λ)

The frequency of a wave is the number of waves (complete wave cycles) passing a given point over a given time period and the frequency is represented by the Greek letter nu (ν) and also as "f" (which is the first letter of the word "frequency")

Therefore, the speed, "v", (different from nu (ν)) of the wave is given as follows;

v = f × λ

From which we have;

λ = v/f

∴ λ ∝ 1/f

Which indicates an inversely proportional relationship between the wavelength and the frequenct

From which we have that as the wavelength decreases, the frequency increases

Therefore, Anya decrease increase is correct

this is an example of "committed" time.

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