Concept explainers
(a)
The position of the
(a)
Answer to Problem 20P
The position of the
Explanation of Solution
Write the expression to find the position of the
Here,
Conclusion:
Substitute
Therefore, the position of the
(b)
The tangent of the angle the first order bright fringe makes with respect to the line extending from the point midway between the slits to the center of the central maximum.
(b)
Answer to Problem 20P
The tangent of the angle the first order bright fringe makes with respect to the line extending from the point midway between the slits to the center of the central maximum is
Explanation of Solution
The following figure gives the system description.
Write the expression for the tangent of the angle the first order bright fringe makes with respect to the line extending from the point midway between the slits to the center of the central maximum.
Conclusion:
Substitute
Therefore, the tangent of the angle the first order bright fringe makes with respect to the line extending from the point midway between the slits to the center of the central maximum is
(c)
The
(c)
Answer to Problem 20P
The wavelength of the light is
Explanation of Solution
Write the expression for wavelength of the light.
Here,
Conclusion:
Substitute
Therefore, the wavelength of the light is
(d)
The angle for the 50th-order bright fringe.
(d)
Answer to Problem 20P
The angle for the 50th-order bright fringe is
Explanation of Solution
Write the expression for angle for the 50th-order bright fringe.
Conclusion:
Substitute
Therefore, the angle for the 50th-order bright fringe is
(e)
The position of 50th-order bright fringe.
(e)
Answer to Problem 20P
The position of 50th-order bright fringe is
Explanation of Solution
Write the expression to find the position of 50th-order bright fringe
Here,
Conclusion:
Substitute
Therefore, the position of 50th-order bright fringe is
(f)
The comparison of the answers in part (a) and (e).
(f)
Answer to Problem 20P
The answers in part (a) and (e) are close but are not equal.
Explanation of Solution
The non linearity of the fringes in the screen are the reasons that the two answers are close but do not agree exactly with each other.
Therefore, the answers in part (a) and (e) are close but are not equal.
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Chapter 37 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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