Concept explainers
(a)
The wavelengths of the light.
(a)
Answer to Problem 47P
The wavelengths of light are
Explanation of Solution
Given info: Angles of spectral lines are
The width of slit can be given as,
Here,
Substitute
The condition for first order diffraction grating can be given as,
Here,
For the angle of
Substitute
Thus, the wavelength of the light is
For the angle of
Substitute
Thus, the wavelength of the light is
For the angle of
Substitute
Thus, the wavelength of the light is
Conclusion:
Therefore, the wavelengths of light are
(b)
The angles for the lines in the second order spectrum.
(b)
Answer to Problem 47P
The angles for the second order lines are
Explanation of Solution
Given info: Angles of spectral lines are
The condition for first order diffraction grating can be given as,
Rearrange the above equation for
For the wavelength
Substitute
Thus, the angle of the spectral line is
For the wavelength
Substitute
Thus, the angle of the spectral line is
For the wavelength
Substitute
Thus, the angle of the spectral line is
Conclusion:
Therefore, the angles of lines are
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Chapter 27 Solutions
Bundle: Principles of Physics: A Calculus-Based Text, 5th + WebAssign Printed Access Card for Serway/Jewett's Principles of Physics: A Calculus-Based Text, 5th Edition, Multi-Term
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