Essential University Physics Plus Mastering Physics with eText -- Access Card Package (3rd Edition)
3rd Edition
ISBN: 9780321975973
Author: Richard Wolfson
Publisher: PEARSON
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Question
Chapter 30, Problem 58P
To determine
The change of vector on reflection by a mirror in a plane defined by two of the coordinate axes.
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A ray of light strikes the midpoint of one face of an equiangular (60°–60°–60°) glass prism (n = 1.5) at an angle of incidence of 31.4°.
(a) Trace the path of the light ray through the glass, and find the angles of incidence and refraction at each surface.First surface:
?incidence
= °
?refraction
= °
Second surface:
?incidence
= °
?refraction
= °
(b) If a small fraction of light is also reflected at each surface, find the angles of reflection at the surfaces.
?reflection
= ° (first surface)
?reflection
= ° (second surface)
Light, when incident on a given surface, presents a reflected and a refracted component. When the reflected beam is perpendicular to the refracted beam, the angle of incidence θᵢ is called Brewster's angle. If a beam of light is initially in air with index of refraction n₁ = 1 and is incident on a glass surface (index of refraction n₂ = 1.5), Brewster's angle is:
a)82.9°
b)36.3°
c)75.4°
d)62.9°
e)56.3°
f)45.7°
A fish that is d=d= 2.9 m below the surface looks up and sees a child fishing from the shore.
What angle of incidence (θ1) does the ray from the person’s face make with the perpendicular to the water at the point where the ray enters? The angle of refraction (θ2) between the ray in the water and the perpendicular to the water is 35.8°.
θ1 = 51.1
What is the height of the person’s head above the water? Assume the person is standing L= 7.4 m away from the point where the incident ray intersects the water.
h =
m
Chapter 30 Solutions
Essential University Physics Plus Mastering Physics with eText -- Access Card Package (3rd Edition)
Ch. 30.1 - Prob. 30.1GICh. 30.2 - The figure shows the path of a light ray through...Ch. 30.3 - The glass prism in Fig. 30.11 has n = 1.5 and is...Ch. 30.4 - Prob. 30.4GICh. 30 - Prob. 1FTDCh. 30 - Why does a spoon appear bent when its in a glass...Ch. 30 - Prob. 3FTDCh. 30 - Prob. 4FTDCh. 30 - You send white light through two identical glass...Ch. 30 - Prob. 6FTD
Ch. 30 - Prob. 7FTDCh. 30 - Why are polarizing sunglasses better than glasses...Ch. 30 - Under what conditions will the polarizing angle be...Ch. 30 - Through what angle should you rotate a mirror so...Ch. 30 - Prob. 12ECh. 30 - To what angular accuracy must two ostensibly...Ch. 30 - Prob. 14ECh. 30 - In which substance in Table 30.1 does the speed of...Ch. 30 - Information in a compact disc is stored in pits"...Ch. 30 - Light is incident on an air-glass interface, and...Ch. 30 - A light ray propagates in a transparent material...Ch. 30 - Light propagating in the glass (n = 1.52) wall of...Ch. 30 - Prob. 20ECh. 30 - Find the refractive index of a material for which...Ch. 30 - Prob. 22ECh. 30 - Prob. 23ECh. 30 - What is the critical angle for light propagating...Ch. 30 - Prob. 25ECh. 30 - Blue and red laser beams strike an air-glass...Ch. 30 - White light propagating in air is incident at 45...Ch. 30 - Suppose the 60 angle in Fig. 30.18 is changed to...Ch. 30 - The refractive index of a human cornea is 1.40. If...Ch. 30 - Two plane mirrors make an angle . A light ray...Ch. 30 - An unlabeled bottle of liquid has spilled, and...Ch. 30 - A meter stick lies on the bottom of the...Ch. 30 - Prob. 33PCh. 30 - At the aquarium where you work, a fish has gone...Ch. 30 - Prob. 35PCh. 30 - You've dropped your car keys at night off the end...Ch. 30 - Laser eye surgery uses ultraviolet light with...Ch. 30 - Prob. 38PCh. 30 - Repeat Problem 38 for the case n = 1.75, = 40,...Ch. 30 - Find the minimum refractive index for the prism in...Ch. 30 - Where and in what direction would the main beam...Ch. 30 - Find the speed of light in a material for which...Ch. 30 - Prob. 43PCh. 30 - For the interface between air (refractive index 1)...Ch. 30 - A scuba diver sets off a camera flash at depth h...Ch. 30 - Suppose the red and blue beams of Exercise 26 are...Ch. 30 - In cataract surgery, ophthalmologists replace the...Ch. 30 - In a ruby laser, light is produced in a solid rod...Ch. 30 - Reconsider Example 30.4, now in a glass with n700...Ch. 30 - A cylindrical tank 2.4 m deep is full to the brim...Ch. 30 - For what diameter tank in Problem 50 will sunlight...Ch. 30 - Light is incident from air on the flat wall of a...Ch. 30 - Prob. 53PCh. 30 - Find an expression for the displacement x in Fig....Ch. 30 - Prob. 55PCh. 30 - (a) Differentiate the result of Problem 55 to show...Ch. 30 - Prob. 57PCh. 30 - Prob. 58PCh. 30 - Fermat's principle states that a light ray's path...Ch. 30 - Prob. 60PCh. 30 - A slab of transparent material has thickness d and...Ch. 30 - For common materials like glass, the wavelength...Ch. 30 - Figure 30.25a depicts lights path over a hot road,...Ch. 30 - Prob. 64PPCh. 30 - Figure 30.25b shows how continuous refraction in...Ch. 30 - The refractive index in the ionosphere is strongly...
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- What 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_forwardIn an ultra-low-temperature experiment, a collection of atoms enter a special state called a Bose-Einstein condensate in which the index of refraction is 1.60 × 107. What is the speed of light in this condensate?arrow_forwardA fiber optic line is composed of a core with an index of refraction of 1.47 and cladding with an index of 1.36. Which one of the relations best describes angles of incidence q that will result in total internal reflection within the fiber optic line?arrow_forward
- A ray of light strikes the midpoint of one face of an equiangular (60°–60°–60°) glass prism (n = 1.5) at an angle of incidence of 34.0°. (a) Trace the path of the light ray through the glass, and find the angles of incidence and refraction at each surface.First surface: ?incidence = ?refraction = Second surface: ?incidence = ?refraction = (b) If a small fraction of light is also reflected at each surface, find the angles of reflection at the surfaces. (first surface) ?reflection (second surface) ?reflectionarrow_forwardA ray of light falls perpendicular to face AB of a prism whose cross section is an isosceles rectangle. The ray follows the path shown in the figure. About the refractive index of the prism material it is correct to state that necessarily: a) n = 1,2 b) n > 1,2 c) n < 1.2 d) n = root of 2 e) n > the root of 2 f) n < root of 2 g) n = 1.6 h) n > 1.6 i) n < 1.6 j) n = root of 3 k) n > root of 3 l) n < root of 3 m) n = 2.0 n) n > 2.0 o) n < 2.0arrow_forwardA block of crown glass is immersed in water as in the figure shown below. A light ray is incident on the top face at an angle of ?1 = 45.8° with the normal and exits the block at point P. (Assume that x = 3.48 cm.) (a) Find the vertical distance y from the top of the block to P. cm(b) Find the angle of refraction ?2 of the light ray leaving the block at P. °arrow_forward
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