Question

The rainbow of visible colors in the electromagnetic spectrum varies continuously from the longest wavelengths (the reddest colors) to the shortest wavelengths (the deepest violet colors) our eyes can detect. Wavelengths near 655 nm are perceived as red. Those near 515 nm are green and those near 475 nm are blue. Calculate the frequency of light (in Hz) with a wavelength of 655 nm, 515 nm, and 475 nm.

Answer 1

`4.58* 10^(14)Hz`
`5.825* 10^(14)Hz`
`6.31* 10^(14)Hz`

Step-by-step explanation:

We know that there is a relation between the speed of light ,frequency and wavelength.This relation can be given as
`v=\\u \lambda` where v is speed of light
`\\u` is frequency of light
`\lambda` is wavelength of light

In first case we have given λ=655 nm

so using formula
`v=\\u \lambda`

`3* 10^8=655* 10^(-9)* \\u`

`\\u =4.58* 10^(14)` Hz

In second case we have wavelength 515 nm so by using above formula

`3* 10^8=515* 10^(-9)* \\u`

`\\u =5.825* 10^(14)\ Hz`

In third case we have wavelength 475 nm

so
`3* 10^8=475* 10^(-9)* \\u`

`\\u =6.31* 10^(14)Hz`