Question

Which color wave has the largest frequency? n purple red blue orange green

Answer 1

Answer: purple

Explanation:

There is an inverse relation between frequency $f$ and wavelength $\lambda$:

$f=\frac{c}{\lambda}$

Where $c=3(10)^{8} m/s$ is the speed of light in vacuum

This means:

If $\lambda$ increases $f$ decreases and if $\lambda$ decreases $f$ increases.

In other words, the color wave with the largest frequency is the one with the lowest wavelength.

In this sense, the wavelength for each color is:

$\lambda_{purple} \approx 400(10)^{-9}m$

$\lambda_{blue} \approx 470(10)^{-9}m$

$\lambda_{green} \approx 550(10)^{-9}m$

$\lambda_{orange} \approx 615(10)^{-9}m$

$\lambda_{red} \approx 700(10)^{-9}m$

As we can see, purple has the smallest wavelength, hence the largest frequency.