Concept explainers
(a)
The angle of refraction
(a)
Answer to Problem 96PQ
The angle of refraction
Explanation of Solution
Write the expression for Snell’s law that relates the angle of incidence and angle of refraction of a light ray when it travels from one medium to the other medium.
Here,
Solve the above equation to find
Conclusion:
Substitute 1.760 for
Here,
Therefore, the angle of refraction
(b)
The angle of incidence of the light ray at the sapphire air interface.
(b)
Answer to Problem 96PQ
The angle of incidence of the light ray at the sapphire air interface is
Explanation of Solution
Consider the diagram.
Figure-(1)
The above figure defines the light ray incident on the rectangular sapphire crystal at an angle of incidence is
Inside the sapphire crystal the ray travels in a straight line because the medium is same. So the angle of refraction at the air sapphire interface
Therefore, the angle of incidence of the light ray at the sapphire air interface is
(c)
The angle of refraction of the light ray at crystal air interface.
(c)
Answer to Problem 96PQ
The angle of refraction of the light ray at crystal air interface is
Explanation of Solution
Write the expression for Snell’s law that relates the angle of incidence and angle of refraction of a light ray when it travels from one medium to the other medium.
Here,
Solve the above equation to find
Conclusion:
Substitute
Therefore, the angle of refraction of the light ray at the crystal air interface is
Want to see more full solutions like this?
Chapter 38 Solutions
Physics for Scientists and Engineers: Foundations and Connections
- A light ray is incident on an interface between water (n = 1.333) and air (n = 1.0002926) from within the air. If the angle of incidence in the air is 30.0, what is the angle of the refracted ray in the water?arrow_forwardLight is incident on a prism as shown in Figure P38.31. The prism, an equilateral triangle, is made of plastic with an index of refraction of 1.46 for red light and 1.49 for blue light. Assume the apex angle of the prism is 60.00. a. Sketch the approximate paths of the rays for red and blue light as they travel through and then exit the prism. b. Determine the measure of dispersion, the angle between the red and blue rays that exit the prism. Figure P38.31arrow_forwardFigure P38.10 on the next page shows a monochromatic beam of light of wavelength 575 nm incident on a slab of crown glass surrounded by air. Use a protractor to measure the angles of incidence and refraction. a. What is the speed of the beam of light within the glass slab? b. What is the frequency of the beam of light within the glass slab? c. What is the wavelength of the beam of light within the glass slab? FIGURE P38.10arrow_forward
- The Sun appears at an angle of 53.0 above the horizontal as viewed by a dolphin swimming underwater. What angle does the sunlight striking the water actually make with the horizon?arrow_forwardA light ray travels from vacuum into a slab of material with index of refraction n1 at incident angle θ with respect to the surface. It subsequently passes into a second slab of material with index of refraction n2 before passing back into vacuum again. The surfaces of the different materials are all parallel to one another. As the light exits the second slab, what can be said of the final angle ϕ that the outgoing light makes with the normal? (a) ϕ > θ (b) ϕ < θ (c) ϕ = θ (d) The angle depends on the magnitudes of n1 and n2. (e) The angle depends on the wavelength of the light.arrow_forwardFigure P22.16 shows a light ray traveling in a slab of crown glass surrounded by air. The ray is incident on the right surface at an angle of 55 with the normal and then reflects from points A. B, and C. (a) At which of these points does part of the ray enter the air? (b) If the glass slab is surrounded by carbon disulfide, at which point does part of the ray enter the carbon disulfide?arrow_forward
- An amateur astronomer wants to build a telescope with a diffraction limit that will allow him to see if there are people on the moons of Jupiter. (a) What diameter mirror is needed to be able to see 1.00-m detail on a Jovian moon at a distance of 7.50108 km from Earth? The wavelength of light averages 600 nm. (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?arrow_forwardA person looking into an empty container is able to see the far edge of the containers bottom, as shown in Figure P22.23a. The height of the container is h, and its width is d. When the container is completely filled with a fluid of index of refraction n and viewed from the same angle, the person can see the center of a coin at the middle of the containers bottom, as shown in Figure P22.23b. (a) Show that the ratio h/d is given by hd=n214n2 (b) Assuming the container has a width of 8.00 cm and is filled with water, use the expression above to find the height of the container.arrow_forwardFigure P23.28 shows a curved surface separating a material with index of refraction n1 from a material with index n2. The surface forms an image I of object O. The ray shown in red passes through the surface along a radial line. Its angles of incidence and refraction are both zero, so its direction does not change at the surface. For the ray shown in blue, the direction changes according to n1 sin 1 = n2 sin 2. For paraxial rays, we assume 1 and 2 are small, so we may write n1 tan 1 n2 tan 2. The magnification is defined as M = h/h. Prove that the magnification is given by M = n1q/n2p. Figure P23.28arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning