Concept explainers
Considering Young’s experiment using monochromatic light, what happens to the width of the central fringe (and, indeed, of all the fringes) if we decrease the wavelength by 10%, all else kept constant? Explain your answer. [Hint: The width of the central maximum is taken to be the separation between the centers of the first minima above and below the central axis.]
The effect on the width of the central fringe in the Young’s experiment using monochromatic light if the wavelength of the light is decreased by
Answer to Problem 16SP
Solution:
The w idth of all the fringes will decrease by
Explanation of Solution
Given data:
The wavelength of the monochromatic light is decreased by
Formula used:
The expression for the fringe width of the fringe is written as
Here,
Explanation:
Recall the expression for the fringe width:
Understand that for given young’s experiment, the value of the distance between the slits and the screen and the separation between the slits will be constant. Thus, fringe width will be directly proportional to the wavelength of the fringe.
The above expression shows that the
Conclusion:
Hence, the width of the all the fringes are decreased by
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Chapter 40 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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