Q22PE Find the angle for the third-ord... [FREE SOLUTION]

Chapter 27: Q22PE (page 997)

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

Short Answer

Expert verified

The third-order maximum is obtained at an angle of $^{15 . 1^{0}}$ .

Step by step solution

Given data

Grating lines on the diffraction grating are 1500 liner per cm, which means that the distance between the two slits is $d = (\frac{1 cm}{1500}) (\frac{1 m}{100 cm}) = 6.67 脳 10^{- 6} m$

The wavelength of the yellow light is $位 = 580 nm (\frac{10^{- 9} m}{1 nm}) = 5.80 脳 10^{- 7} m$

The order of maximum is 3.

Evaluating the third-order maximum

For the given value of $^{胃}$ , and $^{位}$ , the equation for the third-order maximum can be expressed as $d 蝉颈苍胃 = 3 位$ ,

The value of $^{胃}$ can be estimated from the above expression as,

$胃 = \sin^{- 1} (\frac{位}{d}) = \sin^{- 1} (\frac{3 脳 5.8 脳 10^{- 7} m}{6.67 脳 10^{- 6} m}) = \sin^{- 1} (0.261) = 15 . 1^{0}$

Therefore, the third-order maximum is, $^{15 . 1^{0}}$ .

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91影视

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

Short Answer

Step by step solution

Given data

Evaluating the third-order maximum

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91影视

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

Short Answer

Step by step solution

Given data

Evaluating the third-order maximum

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Thermodynamics

Geometrical and Physical Optics

Fields in Physics

Solid State Physics

Atoms and Radioactivity

Physics of Motion

Study anywhere. Anytime. Across all devices.

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