Concept explainers
The angular separation between spectral lines in the visible spectrum.
Answer to Problem 42P
The angular separation between spectral lines of first, second and third order is
Explanation of Solution
Draw the diagram of spectral lines as per the given data.
Write the equation to find the grating spacing.
Here,
Write the equation to find the diffraction angle.
Here,
Write the equation to find the angular separation between red and blue lines.
Here,
Conclusion:
Substitute
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Rewrite the expression for
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Rewrite the expression for
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Rewrite the expression for
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Rewrite the expression for
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Rewrite the expression for
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Rewrite the expression for
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Thus, the angular separation between spectral lines of first, second and third order is
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Chapter 27 Solutions
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