Concept explainers
(a)
The angular dispersion of the grating is
(a)
Answer to Problem 73AP
The angular dispersion of the grating is
Explanation of Solution
Formula to calculate the angles of bright beams diffracted from the grafting is,
Here,
Differentiate equation (I) with respect to
Conclusion:
Therefore, the angular dispersion of the grating is
(b)
The angular separation of the two wavelengths in the second order spectrum.
(b)
Answer to Problem 73AP
The angular separation of the two wavelengths in the second order spectrum is
Explanation of Solution
Number of equally spaced slit to analyze the spectrum of mercury is 8,000. The square grating on each side is
The wavelengths of the incident lights are
Write the expression of the average wavelength.
Formula to calculate the spacing between the adjacent slit is,
Substitute 0.02 for square grating and 8000 for number of equally spaced slits in equation (II).
Substitute
Formula to calculate the separation angle between the lines is,
Here,
The difference in wavelength of lights is,
Substitute 2 for
Conclusion:
Therefore, the angular separation of the two wavelengths in the second order spectrum is
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Chapter 38 Solutions
Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
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