Concept explainers
(a)
Radius of the mirror.
(a)
Answer to Problem 73P
The radius should be greater than or equal to
Explanation of Solution
Write the equation for power
Here
Write the equation for area.
Here
Substitute (II) in (I) and rewrite in terms of
Conclusion:
Substitute
The radius should be greater than or equal to
(b)
Relationship between
(b)
Answer to Problem 73P
The ratio of
Explanation of Solution
Write the mirror equation
Here
Write the equation for magnification
Here
Object distance is infinite.
Then,
Rearrange (V) in terms of
Here
Write the equation for intensity of the image
Substitute
Substitute (III) and (VIII) in (X)
Conclusion:
Substitute
The ratio of
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Chapter 26 Solutions
Principles of Physics: A Calculus-Based Text
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- If bis Brewster’s angle for light reflected from the top of an interface between two substances, and bis Brewster’s angle for light reflected from below, prove that b+b=90.0arrow_forwardLight enters a prism of crown glass and refracts at an angle of 5.00 with respect to the normal at the interface. The crown glass has a mean index of refraction of 1.51. It is combined with one flint glass prism (n = 1.65) to produce no net deviation. a. Find the apex angle of the flint glass. b. Assume the index of refraction for violet light (v = 430 nm) is nv = 1.528 and the index of refraction for red light (r = 768 nm) is nr = 1.511 for crown glass. For flint glass using the same wavelengths, nv = 1.665 and nr = 1.645. Find the net dispersion.arrow_forwardElectric room heaters use a concave mirror to reflect infrared (IR) radiation from hot coils. Note that IR radiation follows the same law of reflection as visible light. Given that the mirror has a radius of curvature of 50.0 cm and produces an image of the coils 3.00 m away from the mirror, where are the coils?arrow_forward
- Light passes from a material with index of refraction 1.3 into one with index of refraction 1.2. Compared with the incident ray, what happens to the refracted ray? (a) It bends toward the normal. (b) It is undeflected. (c) It bends away from the normal.arrow_forwardWhat happens to a light wave when it travels from air into glass? (a) Its speed remains the same. (b) Its speed increases. (c) Its wavelength increases. (d) Its wavelength remains the same. (e) Its frequency remains the same.arrow_forwardA student’s eyes, while reading the blackboard, have a power of 51.0 D. How far is the board from his eyes?arrow_forward
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