COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 23, Problem 111QAP
To determine
(a)
The distance between the two objects that could be resolved by the telescope on the ground
To determine
(b)
The distance between the two objects on the ground when angle of resolution is
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•4 In Fig. 35-32a, a beam of light in material 1 is incident on a
boundary at an angle of 30°. The extent to which the light is ben
due to refraction depends, in part, on the index of refraction n, o
material 2. Figure 35-32b gives the angle of refraction Oz versus n
for a range of possible n2 values, from n, = 1.30 to n, = 1.90. Wha
is the speed of light in material 1?
в,
40°
300!
30°
в,
20°
по
(a)
(b)
+ Resolving Distant Objects
Consider a telescope with a small circular aperture of diameter 2.0 centimeters.
▾
Part A
If two point sources of light are being imaged by this telescope, what is the maximum wavelength A at which the two can be resolved if their angular separation is 3.0 x 10- radians?
Express your answer in nanometers to two significant figures.
▸ View Available Hint(s)
A = 490 mm
Submit
✓ Correct
Part B
Previous Answere
Calculate the angular separation at which two point sources of wavelength 600 nanometers are just resolved when viewed through a circular aperture of diameter 1.5 centimeters.
Express your answer in radians to three significant figures.
For Part E Foy Part Ndo for Part&redio foart Breor Part B keyboard shortcuts for Part B help for Fart B
8₁7
Submit
Request Answer
rad
•• ENGINEERING APPLICATION An optical fiber allows rays
of light to propagate long distances by using total internal reflec-
tion. Optical fibers are used extensively in medicine and in digital
communications. As shown in Figure 31-58 the fiber consists of a
core material that has an index of refraction n, and radius b sur-
rounded by a cladding material that has an index of refraction
n3 < n2. The numerical aperture of the fiber is defined as sine,
where 0, is the angle of incidence of a ray of light that impinges
on the center of the end of the fiber and then reflects off the core-
cladding interface just at the critical angle. Using the figure as
a guide, show that the numerical aperture is given by
sine, = Vn3 - n? assuming the ray is initially in air. Hint: Use of the
Pythagorean theorem may be required.
44
Chapter 23 Solutions
COLLEGE PHYSICS
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- a) Estimate the limiting angle of resolution for this eye, assuming its resolution is limited only by diffraction. b) Determine the minimum separation distance d between two point sources that the eye can distinguish if the point sources are a distance L = 25 cm from the observe c) Find what diameter the pupil of a human eye must have for its limiting angle of resolution to be 0.6 minutes of arc (equal to 1.75 ✕ 10−4 rad) when the light has a wavelength of 515 nm. Assume that diffraction is the only limitation on resolution. Express your answer in millimeters. Hintarrow_forward+ Resolving Distant Objects Consider a telescope with a small circular aperture of diameter 2.0 centimeters. ▾ Part A ▾ If two point sources of light are being imaged by this telescope, what is the maximum wavelength A at which the two can be resolved if their angular separation is 3.0 x 10- radians? Express your answer in nanometers to two significant figures. ▸ View Available Hint(s) A = 490 nm Submit ✓ Correct Part B Calculate the angular separation, at which two point sources of wavelength 600 nanometers are just resolved when viewed through a circular aperture of diameter 1.5 centimeters. Express your answer in radians to three significant figures. 8₁ = Previous Answere Submit for Part Efoy Past Edo for Part redo for Bre Provide Feedback rtredio foart Breor Part B keyboard shortcuts for Part 8 help for Part B Request Answer rad Farrow_forward•10 GO Manufacturers of wire (and other objects of small dimension) sometimes use a laser to continually monitor the thickness of the product. The wire intercepts the laser beam, pro- ducing a diffraction pattern like that of a single slit of the same width as the wire diameter (Fig. 36-37). Suppose a helium-neon laser, of wavelength 632.8 nm, illuminates a wire, and the diffrac- tion pattern appears on a screen at distance L = 2.60 m. If the desired wire diameter is 1.37 mm, what is the observed distance between the two tenth-order minima (one on each side of the central maximum)? Wire He-Ne laser L Figure 36-37 Problem 10. Wire-making machinearrow_forward
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