Concept explainers
Consider the double-slit arrangement shown in Figure P37.60, where the slit separation is d and the distance from the slit to the screen is L. A sheet of transparent plastic having an index of refraction n and thickness t is placed over the upper slit. As a result, the central maximum of the interference pattern moves upward a distance y′ Find y′.
The position
Answer to Problem 37.60AP
The position
Explanation of Solution
Given info: The separation between the slits is
The path difference due to the slit is given by,
Here,
The value of sine of angle is,
Here,
Substitute
The path difference due to the transparent plastic sheet is,
Here,
The net path difference is given by,
Substitute
The condition of central maxima is,
Substitute
Take square on both sides of the above equation.
Simplify the above equation for
Conclusion:
Therefore, the position
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Chapter 37 Solutions
Physics For Scientists And Engineers, Volume 2, Technology Update
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