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Chapter 33: Q. 11 (page 955)

A diffraction grating produces a first-order maximum at an angle of 20.0°. What is the angle of the second-order maximum?

Short Answer

Expert verified

Angle of the second order maximum is43.2°.

Step by step solution

01

Formula for diffraction angle

The diffraction grating's m-th order diffraction angle is given by

sinθm=mλd

Where,

θmis angle of diffraction.

dis grating spacing

λis wavelength

02

Calculation of angle of the second order

When we know that θ1=20°

θ1is first order maximum.

The angle of second order maximum is,

θ2=sin-12sin20°

=sin-1(0.684)

=43.2°

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a. Green light shines through a 100-mm-diameter hole and is observed on a screen. If the hole diameter is increased by 20%, does the circular spot of light on the screen decrease in diameter, increase in diameter, or stay the same? Explain.

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