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

Question

asked Nov 2, 2020 123k views

1 Answer

Nhat Nguyen · Answer 1 · 2020-11-08T12:09:48+0000

Answer: purple

Step-by-step explanation:

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

$f=(c)/(\lambda)$

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

This means:

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