   Chapter 27, Problem 22PE

Chapter
Section
Textbook Problem

Find the angle for the third-order maximum for 580-nm-wavelength yellow light falling on a diffraction grating having 1500 lines per centimeter.

To determine

The angle for the third order maximum for 580 nm wavelength yellow light falling on a diffraction grating having 1500 lines per centimeter

Explanation

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=0.0100m1500=6.667×106m, λ=580 nm, m=3.

Substituting these values in above, relation we get

(6.667× 10 6m)sinθ=3×5

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