Concept explainers
(a)
The distance between the adjacent slits on the grating.
(a)
Answer to Problem 64P
The distance between the adjacent slits on the grating is
Explanation of Solution
The distance between adjacent slits is the reciprocal of the number of slits per unit length.
Write the equation for the distance between the adjacent slits.
Here,
Conclusion:
Substitute
Therefore, the distance between the adjacent slits on the grating is
(b)
The distance of the first-order maximum from the central bright spot on the screen.
(b)
Answer to Problem 64P
The distance of the first-order maximum from the central bright spot on the screen is
Explanation of Solution
Write the Bragg’s law.
Here,
Substitute
The arrangement is shown in figure 1.
Refer to figure 1 and write the expression for
Here,
Rewrite the above equation for
Put equation (III) in equation (IV).
Conclusion:
Substitute
Therefore, the distance of the first-order maximum from the central bright spot on the screen is
(c)
The distance of the second-order maximum from the central bright spot on the screen.
(c)
Answer to Problem 64P
The distance of the second-order maximum from the central bright spot on the screen is
Explanation of Solution
Substitute
Put equation (VI) in equation (IV).
Conclusion:
Substitute
Therefore, the distance of the second-order maximum from the central bright spot on the screen is
(d)
Whether it can be assumed that
(d)
Answer to Problem 64P
It cannot be assumed that
Explanation of Solution
The assumption
Rewrite equation (II) for
Conclusion:
Substitute
Substitute
From the calculations, it is clear that the values of
Therefore, it cannot be assumed that
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Chapter 25 Solutions
Physics
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