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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

Show that a diffraction grating cannot produce a second-order maximum for a given wavelength of light unless the first-order maximum is at an angle less than 30.0°.

To determine

To show:

A diffraction grating cannot produce a second order maximum

Explanation

Given info:

A diffraction grating cannot that produces a second order maximum for a given wavelength of light unless the first order maximum is at an angle less than 30ο

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:

As slit separation and wavelength of light are same for the both the orders, so

For first order maximum,

  dsinθ1=λ

And for second order maximum,

  dsin

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