PHYSICS F/SCI.+ENGR.,CHAPTERS 1-37
5th Edition
ISBN: 9780134378060
Author: GIANCOLI
Publisher: RENT PEARS
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Chapter 32, Problem 5P
(II) Show that if two plane mirrors meet at an angle ϕ, a single ray reflected successively from both mirrors is deflected through an angle of 2ϕ independent of the incident angle. Assume ϕ < 90° and that only two reflections, one from each mirror, take place.
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(ii) In an experiment, a student is asked to measure the index of refraction of
Perspex. Her measurements show that, for an angle of incidence in air of 22°, the
angle in Perspex is 14.5°. What will the index of refraction be for the Perspex?
(b) How does the index of refraction relate to the speed of light in a medium? If the index of refraction of water
is 1.33, calculate the speed of light in water.
Give one application of total internal reflection.
A planoconvex lens (Fig. 23–31a) has one flat surfaceand the other has R =14.5 cm. This lens is used to viewa red and yellow object which is 66.0 cm away from thelens. The index of refraction of the glass is 1.5106 for redlight and 1.5226 for yellow light. What are the locations ofthe red and yellow images formed by the lens? [Hint: SeeSection 23–10.]
Chapter 32 Solutions
PHYSICS F/SCI.+ENGR.,CHAPTERS 1-37
Ch. 32 - What would be the appearance of the Moon if it had...Ch. 32 - Archimedes is said to have burned the whole Roman...Ch. 32 - What is the focal length of a plane mirror? What...Ch. 32 - An object is placed along the principal axis of a...Ch. 32 - Using the rules for the three rays discussed with...Ch. 32 - Prob. 6QCh. 32 - If a concave mirror produces a real image, is the...Ch. 32 - Prob. 8QCh. 32 - When you look at the Moons reflection from a...Ch. 32 - How can a spherical mirror have a negative object...
Ch. 32 - Prob. 11QCh. 32 - When you look down into a swimming pool or a lake,...Ch. 32 - Draw a ray diagram to show why a stick looks bent...Ch. 32 - (I) When you look at yourself in a 60-cm-tall...Ch. 32 - (II) Show that if two plane mirrors meet at an...Ch. 32 - (II) The block of glass (n = 1.5) shown in cross...Ch. 32 - (II) Show in general that for a light beam...Ch. 32 - (III) A light ray is incident on a flat piece of...Ch. 32 - (I) By what percent is the speed of blue light...Ch. 32 - (I) A light beam strikes a piece of glass at a...Ch. 32 - (II) A parallel beam of light containing two...Ch. 32 - Two identical concave mirrors are set facing each...Ch. 32 - A kaleidoscope makes symmetric patterns with two...
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- A lamp of height S cm is placed 40 cm in front of a converging lens of focal length 20 cm. There is a plane mirror 15 cm behind the lens. Where would you find the image when you look in the mirror?arrow_forward(b) When light is incident on an interface between two materials with different index of refraction, the angle of the refracted ray depends on the wavelength. However, the angle of the reflected ray does not depend on the wavelength at all. Explain why this happens.arrow_forward(1) A ray of light is normally incident on the left face of the quarter- round prism shown. The ray horizontally enters the glass prism 9 cm above its base and then emerges from its circular surface. If the index of refraction of the prism is 1.50, find the angle that the emerging ray makes with respect to the horizontal. State your an- swer as a number of degrees (rounded to 3 significant figures) above or below the horizontal. air air ray 9 cm prism 15 cmarrow_forward
- (II) Two plane mirrors meet at a 135° angle, Fig. 23–52. If light rays strike one mirror at 34° as shown, at what angle o do they leave the second mirror? FIGURE 23-52 34° Problem 3.arrow_forward(2) A pool is 1.0 m deep. This is not the same as the apparent depth, seen when you look straight down at the pool from above. How deep (in cm) will the pool appear to be? The index of refraction of water is 1.33, and assume the index of refraction of air is 1.00.arrow_forwardA ray of light is incident on a glass prism (n = 1.6) with an angle of incidence 0, emerges from the opposite side of the prism with an angle 0,. The apex angle of the prism is 60° The deviation angle, 8, between the incident ray and the emerging ray is then: = 40°. The ray 60° 0, = 40° Nair =1 O 21.7° O 51.3 O 44.5° 38.4 13.8arrow_forward
- (2) Two plane mirrors meet at a 121 angle. (a) If light rays strike one mirror at 34 degree(s) as shown, at what angle phi do they leave the second mirror? 34°arrow_forward(b). A ray of light passes from glass to water. The angle of incidence in the glass is 35°, take the refractive indices of glass and water to be 1.52 and1.33, respectively. (i). What is the angle of refraction in the water? (ii). At what angle will total internal reflection occur between the glass-water interface?arrow_forwardA ray of light travelling through air, falls on the surface of a glass slab at an angle (i), it is found that the angle between the reflected and refracted ray is 90°. If the speed of light in glass is 2 x 10° m/s find the angle of incidence. (C = 3 × 10° m/s)arrow_forward
- A ray of light is travelling from a rarer medium to a denser medium. While entering the denser medium at the point of incidence, it O goes straight into the second medium bends towards the normal bends away from the normal does not enter at all None of these Moving to another question will save this response. « Question 9 of 20 40 8arrow_forward(II) An aquarium filled with water has flat glass sides whose index of refraction is 1.54. A beam of light from outside the aquarium strikes the glass at a 43.5° angle to the perpendicular (Fig. 23–56). What is the angle of this light ray when it enters (a) the glass, and then (b) the water? (c) What would be the refracted angle if the ray entered the water directly? Glass Air Water 43.5° FIGURE 23-56 Problem 32.arrow_forward(II) A person whose eyes are 1.72 m above the floor stands 2.20 m in front of a vertical plane mirror whose bottom edge is 38 cm above the floor, Fig. 23–53. What is the horizontal distance x to the base of the wall supporting the mirror of the nearest point on the floor - 2.20 m→ that can be seen reflected in the mirror? 1.72 m FIGURE 23-53 F38 cm Problem 4.arrow_forward
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