Check Your Understanding Although m, the number of fringes observed, is an integer, which is often regarded as having zero uncertainty, in practical terms, it is all too easy to lose track when counting fringes. In Example 3.6, if you estimate that you might have missed as many as five fringes when you reported m = 122 fringes, (a) is the value for the index of refraction worked out in Example 3.6 too large or too small? (b) By how much?
Check Your Understanding Although m, the number of fringes observed, is an integer, which is often regarded as having zero uncertainty, in practical terms, it is all too easy to lose track when counting fringes. In Example 3.6, if you estimate that you might have missed as many as five fringes when you reported m = 122 fringes, (a) is the value for the index of refraction worked out in Example 3.6 too large or too small? (b) By how much?
Check Your Understanding Although m, the number of fringes observed, is an integer, which is often regarded as having zero uncertainty, in practical terms, it is all too easy to lose track when counting fringes. In Example 3.6, if you estimate that you might have missed as many as five fringes when you reported
m
=
122
fringes, (a) is the value for the index of refraction worked out in Example 3.6 too large or too small? (b) By how much?
The limit to the eye’s visual acuity is related to diffraction by the pupil.Randomized VariablesD = 3.05 mmdh = 1.4 m
Part (a) What is the angle between two just-resolvable points of light for a 3.05 mm diameter pupil in radians, assuming an average wavelength of 550 nm?
Part (b) Take your result to be the practical limit for the eye. What is the greatest possible distance in km a car can be from you if you can resolve its two headlights, given they are 1.4 m apart? Part (c) What is the distance between two just-resolvable points held at an arm’s length (0.800 m) from your eye in mm?
The limit to the eye's acuity is actually related to diffraction by the pupil. What is the angle between two just-resolvable points of
light for a 7.25 mm diameter pupil, assuming the average wavelength of 554 nm?
0.00534
O
angle between two points of light:
Take the result to be the practical limit for the eye. What is the greatest possible distance a car can be from a person if he or she
can resolve its two headlights, given they are 1.50 m apart?
greatest distance at which headlights can be distinguished:
m
1.61
Incorrect
What is the distance between two just-resolvable points held at an arm's length (0.900 m) from a person's eye?
0.145
distance between two points 0.900 m from a person's eye:
m
Incorrect
InFig. 36.12c the central diffraction maximum contains exactly seven interferencefringes, and in this case d/a = 4. (a) What must the ratio d/abe if the central maximum contains exactly five fringes? (b) In the caseconsidered in part (a), how many fringes are contained within the firstdiffraction maximum on one side of the central maximum?
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