   Chapter 27, Problem 31PE

Chapter
Section
Textbook Problem

Structures on a bird feather act like a reflection grating having 8000 lines per centimeter. What is the angle of the first-order maximum for 600-nm light?

To determine

The angle of the first order maximum for 600 nm light.

Explanation

Given info:

Structures on a bird feather act like a reflection grating having 8000 lines per centimeter.

Formula used:

For diffraction grating,

dsinθ=mλ

Here, d is the distance between slits, λ is the wavelength of light, m is the order of the maximum and θ is the angle from the original direction of the beam.

Calculation:

We have, d=0.0100m8000=1.25 ×106m, λ=600 nm, m=1.

Substituting these values in above, relation we get

(1.25× 10 6m)sinθ=1×6

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