Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 37, Problem 20SP
A thick layer of olive oil, having an index of refraction of 1.47, is floating on a quantity of pure water. A narrow beam of light in the oil arrives at the oil-water interface at an angle of 50.0° with respect to the normal. At what angle measured from the normal does the beam progress into the water? [Hint: Here
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Students have asked these similar questions
A ray of light in glass strikes a water-glass interface at an angle of incidence equal to one-third the
critical angle for that interface. The index of refraction for water is 1.33, and for the glass it is 1.43.
What angle does the refracted ray in the water make with the normal?
O 37.0°
O 57.5°
O 24.6°
O 42.3°
32.2⁰
A thin beam of light in air is incident on the surface of a lanthanum flint glass plate having a refractive index of 1.80. What is the angle of incidence θa with this plate for which the angle of refraction is θ2/2? Both angles are measured relative to the normal.
NOTE: The final answer should be 51.68°.
A ray of light crosses the boundary between some substance with n = 1.61 and air, going from the substance into air. If the angle of incidence is 18◦ what is the angle of refraction?
Calculate to 1decimal.
Chapter 37 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 37 - Prob. 13SPCh. 37 - Prob. 14SPCh. 37 - 37.15 [I] A beam of light strikes the surface of...Ch. 37 - 37.16 [I] A laser beam is incident in air on the...Ch. 37 - 37.17 [I] A beam of light is incident on the flat...Ch. 37 - 37.18 [I] A narrow beam of light is traveling...Ch. 37 - 37.19 [I] A block of lanthanum flint glass is...Ch. 37 - 37.20 [I] A thick layer of olive oil, having an...Ch. 37 - 37.21 [I] A thick layer of olive oil, having an...Ch. 37 - 37.22 [I] The critical angle for light passing...
Ch. 37 - 37.23 [I] What is the critical angle when light...Ch. 37 - 37.24 [I] A thick layer of olive oil, having an...Ch. 37 - 37.25 [I] A block of polystyrene is covered by a...Ch. 37 - 37.26 [I] A block of clear ice sits on top of a...Ch. 37 - 37.27 [II] The absolute indices of refraction of...Ch. 37 - 37.28 [II] A pool of water is 60 cm deep. Find...Ch. 37 - 37.29 [III] In a vessel, a layer of benzene 6 cm...Ch. 37 - 37.30 [II] A mirror is made of plate glass 1.0 cm...Ch. 37 - 37.31 [II] A straight rod is partially immersed in...Ch. 37 - 37.32 [II] The index of refraction for a certain...
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- A narrow beam of light is incident from air onto a polystyrene surface with index of refraction 1.49. Find the angle of incidence for which the corresponding angle of refraction is one-half the angle of incidence. (Hint: You might want to use the trigonometric identity sin (20) = 2 sin(0) cos(0).)arrow_forwardA narrow beam of light is incident from air onto a glass surface with index of refraction 1.56. Find the angle of incidence for which the corresponding angle of refraction is one-half the angle of incidence. Hint: You might want to use the trigonometric identity sin 20 = 2 sin0 cos θarrow_forwardCarbon tetrachloride (n = 1.46) is poured into a container made of crown glass (n = 1.52). If the light ray in glass incident on the glass-to-liquid boundary makes an angle of 30 degrees with the normal, what is the angle of the corresponding refracted ray with respect to the normal?arrow_forward
- A beam of light traveling through air is incident up a transparent material at an angle of ??θi=60.6 degrees as shown in the image below. If the angle of the transmitted ray (??θt) as measured with respect to the direction normal to the surface of the material (dashed line in the image below) is 40.92 degrees, what is the index of refraction of of the material?arrow_forwardIn Figure (a), a beam of light in material 1 is incident on a boundary at an angle of 28° The extent to which the light is bent due to refraction depends, in part, on the index of refraction n2 of material 2. Figure (b) gives the angle of refraction 02 versus n2 for a range of possible n2 values, from n, = 1.36 to n, = 1.94. What is the speed of light in material 1? 38° 28 28 18 na (a) (b) Number i ! Units m/sarrow_forwardA ray of light strikes a flat glass block at an incidence angle of ?1 = 34.4°. The glass is 2.00 cm thick and has an index of refraction that equals ng = 1.20. A light ray incident on a glass block of thickness 2.00 cm is shown. The ray travels down and to the right and is incident to the top of the block at an angle ?1 to the normal of the surface. The ray inside the block moves down and to the right but at a steeper slope than the incident ray, making an angle of ?2 with the vertical. It is incident on the bottom surface of the block, making an angle of ?3 with the vertical, and exits moving down and to the right, at a less steep slope, making an angle of ?4 with the vertical. A dashed line extends from the original path of the ray down in the block and is shown to be a distance d from the ray that exits the glass block. (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…arrow_forward
- A ray of light strikes a flat glass block at an incidence angle of ?1 = 34.4°. The glass is 2.00 cm thick and has an index of refraction that equals ng = 1.20. A light ray incident on a glass block of thickness 2.00 cm is shown. The ray travels down and to the right and is incident to the top of the block at an angle ?1 to the normal of the surface. The ray inside the block moves down and to the right but at a steeper slope than the incident ray, making an angle of ?2 with the vertical. It is incident on the bottom surface of the block, making an angle of ?3 with the vertical, and exits moving down and to the right, at a less steep slope, making an angle of ?4 with the vertical. A dashed line extends from the original path of the ray down in the block and is shown to be a distance d from the ray that exits the glass block. 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…arrow_forwardThe angle of incidence of a light beam in air onto a reflecting surface is continuously variable. The reflected ray is found to be completely polarized when the angle of incidence is 63.0°. (a) What is the index of refraction of the reflecting material? (b) If some of the incident light (at an angle of 63.0°) passes into the material below the surface, what is the angle of refraction? answer in degrees °arrow_forwardConsider scenarios A to F in which a ray of light traveling in material 1 is incident onto the interface with material 2. (Figure 1) Material 1 (n1) Material 2 (n2) A air (1.00) water (1.33) В water (1.33) air (1.00) diamond (2.42) air (1.00) D air (1.00) quartz (1.46) E benzene (1.50) water (1.33) F diamond (2.42) water (1.33) Part A For which of these scenarios is total internal reflection possible? List all correct answers in alphabetical order. For example, if scenarios A and E are correct, enter AE. • View Available Hint(s)arrow_forward
- A light ray travelling in medium a is refracted into medium b. The angle of incidence is 28.3° and the angle or refraction is 51.3°. Both angles are measured from the normal to the interface. If one keep increasing the angle of incidence until a critical angle beyond which the total internal reflection occurs, what is the critical angle (in degrees; remember to use the scientific notation of numbers)?arrow_forwardConsider a layer of Oil, Glass, and Air where the oil/glass boundary is parallel to the glass/air boundary. Let the index of refraction for the glass be 1.55 and the index of refraction for the oil to be 1.31. At what angle relative to the normal should a ray of light be directed upon the oil/glass interface such that it strikes the glass/air interface at the critical angle?arrow_forward
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