Concept explainers
(a)
Three consecutive angles of dark ring from the central bright spot on the retina of the eye
Answer to Problem 107QAP
1st ring occurs at
2nd ring occurs at
3rd ring occurs as
Explanation of Solution
Given:
Diameter of pupil =
Formula used:
Angle of resolution is defined as,
Calculation:
From above formula,
Conclusion:
Thus, from above discussion, we find the angle of resolution for three consecutive dark rings as,
1st ring occurs at
2nd ring occurs at
3rd ring occurs as
(b)
The radius of dark rings from the bright spot
Answer to Problem 107QAP
The radius of consecutive three rings are found as,
For 1st ring,
For 2nd ring,
For 3rd ring,
Explanation of Solution
Given:
Angle of resolution for consecutive three dark rings is as,
1st ring occurs at
2nd ring occurs at
3rd ring occurs as
Distance from retina to eye lens =
Formula used:
Calculation:
Conclusion:
Thus, we have found the distance of dark rings from the central bright spot.
(c)
The explanation about the diffraction of light in our eye
Answer to Problem 107QAP
We cannot observe dark and bright rings because angle of resolution is very small to distinguish the consecutive dark and bright rings for human.
Explanation of Solution
Introduction:
Angle of resolution is inversely proportional to the diameter of aperture of the opening and directly proportional to the wavelength of light. As the diameter of opening increases, angle of resolution will decrease.
From above discussion, we see that the angle of resolution is very small. So, locations of the dark and bright fringes are very close to each other. Human eye is not capable to distinguish these thin rings. They feel it as the continuous light.
Conclusion:
Thus, we do not observe such diffraction of light because of very closeness of the consecutive rings to each other.
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Chapter 23 Solutions
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