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? (1 point) Franco Kathryn Darius Anya

Answer 1

Answer:

The correct student is;

Anya decrease increase

Explanation:

A wave is a transmission of a disturbance which results in a change in equilibrium of the state of one or more material quantities from one place to another in a manner of combined regularity, periodicity as well as being structured

A wavelength can be described as the length of one complete cycle of a wave, the symbol of the wavelength is the Greek alphabet lambda, λ

The frequency of a wave is the number of wave cycle passing a specified point over a given time frame. The symbol for the frequency of a wave is the Greek letter nu, ν.

Therefore, the speed of a wave, c, is the product of the wavelength, λ (the length of one cycle of wave) of the wave and the frequency, ν (the number of complete cycle that goes through a given point in a specified time) of the wave

∴ c = ν × λ

Therefore;

ν = c/λ from which have;

$\nu \propto\dfrac{1}{\lambda} \ that \ is \ (The \ frequency \ of \ a \ wave) \propto \dfrac{1}{(The \ wavelength \ of \ the \ wave)}$

The above mathematical relation is that the frequency and wavelength of a wave are inversely related, and as the wavelength decreases, the frequency increases, and vice versa, therefore, Anya is correct.