Concept explainers
(a)
The linear distance on the screen between the central maximum and the
(a)
Answer to Problem 14PQ
Therefore the linear distance on the screen between the central maximum and the
Explanation of Solution
Write the expression for the path difference for bright fringes in young’s double slit experiment.
Here,
Calculate the angle made by a particular interference fringe on the screen from the central maximum.
Here,
For small angle approximation
Substitute
Conclusion:
Substitute
Therefore the linear distance on the screen between the central maximum and the
(b)
The linear distance on the screen between the central maximum and the
(b)
Answer to Problem 14PQ
The linear distance on the screen between the central maximum and the
Explanation of Solution
Write the expression for the path difference for dark fringes in young’s double slit experiment.
Here,
Consider the equation (II)
Here,
Conclusion:
Substitute
Substitute
Therefore, the linear distance on the screen between the central maximum and the
(c)
Whether the minima are evenly spaced.
(c)
Answer to Problem 14PQ
No, the minima are not evenly spaced.
Explanation of Solution
No, the minima are not evenly spaced. The fringes with small angles have equal separation but when the integer n increases the separation between the subsequent minima increases. That is why the
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Chapter 35 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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