Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553278



Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553278
Chapter 37, Problem 18P
Textbook Problem

Three discrete spectral lines occur at angles of 10.1°, 13.7°, and 14.8° in the first-order spectrum of a grating spectrometer. (a) If the grating has 3 660 slits/cm, what are the wavelengths of the light? (b) At what angles are these lines found in the second-order spectrum?


To determine
The wavelengths of the light.

Explanation of Solution

Given info: Angles of spectral lines are 10.1° , 13.7° and 14.8° , Slits on the grating are 3600slits/cm .

The width of slit can be given as,



N is the number of slits per length.

d is the width of the slit.

Substitute 3600slits/cm for N in the above equation,


The condition for first order diffraction grating can be given as,

λ=dsinθ (1)


θ is the angle of spectral line.

λ is the wavelength of light.

For the angle of 10.1° :

Substitute 2.78×106m for d , λ1 for λ and 10.1° for θ in the equation (1),


Thus, the wavelength of the light is 487.52nm at angle of 10


To determine
The angles for the lines in the second order spectrum.

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Chapter 37 Solutions

Physics for Scientists and Engineers
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