Concept explainers
(a)
The spacing between successive maxima near the center fringe.
(a)
Explanation of Solution
Given:
The
The separation between the slits is
The distance between slits and the screen is
Formula used:
Write the expression for the distance on the screen to the
Here
Write the expression for the distance on the screen to the
Here
Subtract equation (2) from equation (1).
Here
Calculation:
Substitute
Conclusion:
Thus, the spacing between successive maxima near the center fringe is
(b)
The observation of the interference of the light on the screen for the given arrangement.
(b)
Explanation of Solution
Given:
The wavelength of the light used is
The separation between the slits is
The distance between slits and the screen is
Formula used:
Write the expression for the distance on the screen to the
Here
Write the expression for the distance on the screen to the
Here
Subtract equation (2) from equation (1).
Here
Write the expression for Rayleigh criterion.
Here
Calculation:
Substitute
For simplicity, take
Substitute
Conclusion:
Thus, the interference of the light on the screen for the given arrangement will be observed of about
(c)
The distance between the slits placed for the maxima.
(c)
Explanation of Solution
Given:
The wavelength of the light used is
The distance between slits and the screen
The separation between
Formula used:
Write the expression for the distance on the screen to the
Here
Write the expression for the distance on the screen to the
Here
Subtract equation (2) from equation (1).
Here
Simplify the above expression for separation between the slits.
Calculation:
Substitute
Conclusion:
Thus, the distance between the slits is
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Chapter 33 Solutions
Physics for Scientists and Engineers
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