Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 31, Problem 31P
(a)
To determine
The angle of refraction if angle of incidence is
(b)
To determine
The angle of refraction if angle of incidence is
(c)
To determine
The angle of refraction if angle of incidence is
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Light in air is incident on a transparent glass slab. The angle of incidence is 35°.The slab is thenimmersed in a pool of liquid. When the angle of incidence for the light striking the slab is 20.3°, theangle of refraction for the light entering the slab is the same as when the slab is in a vacuum. What isthe index of refraction of the liquid?
A light ray in air is incident on an air-to-glass boundary at an angle of 30.0º and is refracted in the glass at an angle of 21.0º with the normal. Find the index of refraction of the glass.
An upward vertical incident light ray is aimed towards an attached to the wall and ceiling. The mirror maker an angle of 30° with a ceiling. The light reflected towards a glass window of the index of refraction 1.52. Determine the angle of reflection, the angle of incidence for refraction, and the angle of refraction.
Chapter 31 Solutions
Physics for Scientists and Engineers
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- Suppose you have an unknown clear substance immersed in water, and you wish to identify it by finding its index of refraction. You arrange to have a beam of light enter it at an angle of 45.0°, and you observe the angle of refraction to be 40.3°. What is the index of refraction of the substance and its likely identity?arrow_forwardWhen a light ray crosses from water into glass, it emerges at an angle of 30with respect to the normal of the interface. What is its angle of incidence?arrow_forwardSuppose you are using total internal reflection to make an efficient corner reflector. If there is air outside and the incident angle is 45.0 , what must be the minimum index of refraction of the material from which the reflector is made?arrow_forward
- The disk of the Sun subtends an angle of 0.533 at the Earth. What are (a) the position and (b) the diameter of the solar image formed by a concave spherical mirror with a radius of curvature of magnitude 3.00 m?arrow_forwardA convex mirror with a radius of curvature of 25.0 cm is used to form an image of an arrow that is 10.0 cm away from the mirror. If the arrow is 2.00 cm tall and inverted (pointing below the optical axis), what is the height of the arrows image?arrow_forwardFind the focal length of a meniscus lens with R1=20cmand R2=15cm . Assume that the index of refraction of the lens is 1.5.arrow_forward
- By ray tracing or by calculation, find the place inside the glass where rays from S converge as a result of refraction through the lens and the convex air-glass interface. Use a ruler to estimate the radius of curvature.arrow_forwardA ray of light strikes a flat block of glass at an incidence angle of 01 = 35.0°. The glass is 2.00 cm thick and has an index of refraction that equals n = 1.75. 'g 2.00 cm (a) What is the angle of refraction, 2, that describes the light ray after it enters the glass from above? (Enter your answer in degrees to at least 2 decimal places.) (b) with what angle of incidence, 03, does the ray approach the interface at the bottom of the glass? (Enter your answer in degrees to at least 2 decimal places.) ° (c) with what angle of refraction, 84, does the ray emerge from the bottom of the glass? (Enter your answer in degrees to at least 1 decimal place.) о (d) The distance d separates the twice-bent ray from the path it would have taken without the glass in the way. What is this distance (in cm)? cm (e) At what speed (in m/s) does the light travel within the glass? m/s (f) How many nanoseconds does the light take to pass through the glass along the angled path shown here? ns (g) Is the travel…arrow_forwardAn aquarium is filled with water to a height of h A ray of light passes through the air above (n1 down into the water (n2 01 = 24°. It reflects off the bottom surface of the glass and travels upward back toward the water-air boundary. When 7.5 cm. 1.00) and 1.33) with an angle of incidence A this ray of light emerges from the water and back into the air, how far will it be from the point where it first entered the water?arrow_forward
- A narrow beam of light is incident from air onto a glass surfacewith index of refraction 1.56. Find the angle of incidencefor which the corresponding angle of refraction is one-halfthe angle of incidence. Hint: You might want to use the trigonometricidentity sin 2Θ = 2 sin Θ cos Θ.arrow_forwardA beam of light in air strikes a slab of glass (n=1.51)and is partially reflected and partially refracted. Determinethe angle of incidence if the angle of reflection is twice theangle of refraction.arrow_forwardA 1.0 cm thick layer of water stands on a horizontal slab of glass. A light ray inthe air is incident on the water 60◦from the normal. What is the ray’s directionof travel in the glass?arrow_forward
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