Concept explainers
(a)
The distance between the central maxima and adjacent maxima in the interference pattern in the screen.
(a)
Answer to Problem 87PQ
The distance between the central maxima and an adjacent maxima in the interference pattern in the screen is
Explanation of Solution
Write the relation of the path difference for bright fringe in young’s double slit experiment.
Here,
Write the equation of the angle made by the particular fringe from the central maxima.
Here,
For small angle
Substitute
Now, substitute
Substitute,
Conclusion:
Substitute,
Therefore, the distance between the central maxima and an adjacent maxima in the interference pattern in the screen is
(b)
The distance between the first and the third dark band of the interference pattern.
(b)
Answer to Problem 87PQ
The distance between the first and the third dark band of the interference pattern is
Explanation of Solution
Write the relation of the path difference for dark fringe in young’s double slit experiment.
Here,
Substitute,
Consider the equation (2).
Substitute
Calculate the distance between the first and the third fringe.
Simplify the above equation.
Conclusion:
Substitute
Therefore, the distance between the first and the third dark band of the interference pattern is
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Chapter 35 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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