(a)
To show: The dispersion is given by
(a)
Answer to Problem 45AP
The dispersion is,
Explanation of Solution
Formula to calculate the angles of bright beams diffracted from the grafting is,
Here,
Write the expression for sine of angle
Substitute
Differentiate the above equation with respect to
Apply product rule of differentiation to differentiate above equation.
Conclusion:
Therefore, the dispersion is
(b)
The dispersion in first order.
(b)
Answer to Problem 45AP
The dispersion in first order is
Explanation of Solution
Given info: The mean wavelength of light is
Formula to calculate the angles of bright beams diffracted from the grafting is,
Here,
The spacing between adjacent slit is inverse of number of rulings per centimeter is,
Substitute
For the value of
Substitute
Formula to calculate the dispersion is,
Here,
Substitute
Further solve the above equation.
Conclusion:
Therefore, the dispersion is
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Chapter 37 Solutions
Physics for Scientists and Engineers with Modern Physics
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