Answer: purple
Explanation:
There is an inverse relation between frequency [tex]f[/tex] and wavelength [tex]\lambda[/tex]:
[tex]f=\frac{c}{\lambda}[/tex]
Where [tex]c=3(10)^{8} m/s[/tex] is the speed of light in vacuum
This means:
If [tex]\lambda[/tex] increases [tex]f[/tex] decreases and if [tex]\lambda[/tex] decreases [tex]f[/tex] 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:
[tex]\lambda_{purple} \approx 400(10)^{-9}m[/tex]
[tex]\lambda_{blue} \approx 470(10)^{-9}m[/tex]
[tex]\lambda_{green} \approx 550(10)^{-9}m[/tex]
[tex]\lambda_{orange} \approx 615(10)^{-9}m[/tex]
[tex]\lambda_{red} \approx 700(10)^{-9}m[/tex]
As we can see, purple has the smallest wavelength, hence the largest frequency.
