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Q. 48

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 957

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Short Answer

For your science fair project you need to design a diffraction grating that will disperse the visible spectrum over in first order.
How many lines per millimeter does your grating need? What is the first-order diffraction angle of light from a sodium lamp ?

Part

The lines per mm needed for grating is

Part

The angle of light from sodium lamp is

See the step by step solution

Step by Step Solution

Step: 1 Equating equation: (part a)

In diffraction grating,has

The small angle at each wavelength as

Step: 2 Finding angle: (part a)

By trignomentry,

Step: 3 Calculating numbers: (part a)

Calculating distance and numbers by

Step: 4 Angle of light in sodium lamp: (part b) 

The angle of fringe for any wavelength

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