   Chapter 21, Problem 63P

Chapter
Section
Textbook Problem

# 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 with a wavelength of (a) 655 nm, (b) 515 nm, and (c) 475 nm.

(a)

To determine
The frequency f at 655nm of wavelength.

Explanation

Given Info: Wavelength λ is 655nm and velocity of light c is 3×108m/s

Formula to calculate the velocity of light in terms of frequency f and wave length is,

c=λf

• f is the frequency
• c is thevelocity of light
• λ is the wavelength

Rearrange in terms of f.

f=cλ

Substitute 655nm for λ and 3×108m

(b)

To determine
The frequency f at 515nm of wavelength.

(c)

To determine
The frequency f at 475nm of wavelength.

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