Concept explainers
(a)
The width of the slits.
(a)
Answer to Problem 91P
The width of the slits is
Explanation of Solution
Write the expression for the width of the central maximum.
Here,
Write the expression for the single-slit diffraction minima.
Here,
Equation (II) is used mainly for dark spots on the screen. The width of the central maximum can be quantified as the distance between the minima on each side with
Solve equation (III) for
Since
Write the expression for the distance
Here,
Use equation (VI) in (V).
Conclusion:
Substitute
Substitute
Therefore, the width of the slits is
(b)
The distance between slits.
(b)
Answer to Problem 91P
The distance between slits is
Explanation of Solution
Write the expression for the maxima in a double slit interference experiment.
Here,
Rewrite equation (VIII) for fifth order double slit interference experiment,
Divide equation (IX) and equation (III),
Conclusion:
Substitute
Therefore, the distance between slits is
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