
Concept explainers
(a)
The position of first bright fringe.
(a)

Answer to Problem 2SP
The position of first bright fringe is 17.1 mm away from the center at each side.
Explanation of Solution
Given info:
Write an expression for condition of maxima.
Here,
Substitute
Thus, the position of first bright fringe is 17.1 mm away from the center at each side.
Conclusion:
The position of first bright fringe is 17.1 mm away from the center at each side.
(b)
The position of second bright fringe.
(b)

Answer to Problem 2SP
The position of second bright fringe is 34.3 mm away from the center at each side.
Explanation of Solution
Given info:
Wavelength of the light is
Write an expression for condition of maxima.
Here,
Substitute
Thus, the position of second bright fringe is 34.3 mm away from the center at each side.
Conclusion:
The position of second bright fringe is 34.3 mm away from the center at each side.
(c)
The position of first dark bright fringe.
(c)

Answer to Problem 2SP
The position of first dark fringe is 25.7 mm away from the center at each side.
Explanation of Solution
Given info:
Wavelength of the light is
Write an expression for condition of minima.
Here,
Substitute
Thus, the position of first dark fringe is 25.7 mm away from the center at each side.
Conclusion:
The position of first dark fringe is 25.7 mm away from the center at each side.
(d)
Sketch the diffraction pattern and mark the position of the fringes.
(d)

Answer to Problem 2SP
The diffraction pattern is given in figure 1.
Explanation of Solution
Following figure gives the diffraction pattern.
Figure 1
Here, the first, second and third order bright fringes will appear at distance of 17.1 mm, 34.3 mm and 51.4 mm from center respectively at each side of the central maxima. The dark fringes of order 1, 2 and 3 will form distances 25.7 mm, 42.8 mm and 60.0 mm respectively.
Conclusion:
The diffraction pattern is given in figure 1.
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Chapter 16 Solutions
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