Concept explainers
Figure 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 P38.10
(a)
The speed of the beam of light within the glass slab.
Answer to Problem 10PQ
The speed of the beam of light within the glass slab is
Explanation of Solution
Write the expression given by Snell’s for the light ray travelling in two different medium.
Here,
Write the expression to calculate the speed of light.
Here,
Conclusion:
By the use of protractor the angle of incidence is measured as
Substitute
Substitute
Therefore, the speed of the beam of light within the glass slab is
(b)
The frequency of the beam of light within the glass slab.
Answer to Problem 10PQ
The frequency of the beam of light within the glass slab is
Explanation of Solution
Write the expression to calculate the frequency.
Here,
Write the expression to calculate the wavelength of the light travelling in the glass medium.
Here,
Conclusion:
Substitute
Substitute
Therefore, the frequency of the beam of light within the glass slab is
(c)
The wavelength of the beam of light within the glass slab.
Answer to Problem 10PQ
The wavelength of the beam of light within the glass slab is
Explanation of Solution
Conclusion:
Substitute
Therefore, The wavelength of the beam of light within the glass slab is
Want to see more full solutions like this?
Chapter 38 Solutions
Physics for Scientists and Engineers: Foundations and Connections
- 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° with respect to the normal, and you observe the angle of refraction to be 40.3°. A. What is the index of refraction of the substance? B. What is its likely identity?arrow_forwardA beam of light traveling through a liquid (of index of refraction n1 = 1.4) is incident on a surface at an angle of θ1 = 45° with respect to the normal to the surface. It passes into the second medium and refracts at an angle of θ2 = 69.5° with respect to the normal. A. What is the index of refraction of the second material? B. What is the light's velocity in medium 1, in meters per second? C. What is the light's velocity in medium 2, in meters per second?arrow_forwardA ray of red light in air (=650 nm) is incident on a semicircular block of clear plastic (n = 1.51 for this light), as shown above. The ray strikes the block at its center of curvature at an angle of incidence of 27°. Part of the incident ray is reflected and part is refracted at the first interface. On paper, print or redraw the figure seen. A. Determine the angle of reflection at the first interface. Draw and clearly label the reflected ray on the diagram. B. Determine the angle of refraction at the first interface. Draw and clearly label the refracted ray on the diagram. C. Determine the speed of the light in the plastic block. D. Determine the wavelength of the light in the plastic block. E. The light exits the plastic through the semicircular side. Draw in the ray showing the light exiting back into the air. If any, what will the angle change be as it enters the air? Justify.arrow_forward
- A green laser beam travels through the an L-shaped block of transparent blue plastic with an angle 00 = 38. above the x axis. The index of refraction of the blue plastic is nb = 1.90. The beam passes into a rectangular block of transparent yellow plastic, and the refracted ray then has an angle of Oy = 43., as shown in the figure below. %3D a. What is the speed of the laser beam as it travels through the blue plastic? b. What is the index of refraction ny of the yellow plastic? c. When the refracted laser beam reaches the other edge of the yellow plastic, it is refracted again as it re-enters the blue plastic. What is the final direction Of of the beam above the x axis?arrow_forwardA drop of water (n=1.33) in the shape of a hemisphere with radius 3.0 mm sits on smooth horizontal surface of a sapphire (n=1.77). A thin laser beam enters the droplet from air and reaches the water-sapphire boundary at the exact center of their circle of contact. At that point, laser beam is completely reflected off the surface of the sapphire. a. What is the maximum height above the sapphire that the laser beam could enter the droplet to be internally reflected at the center of the droplet as described above? b. What is the angle of incidence as the beam enters the droplet?arrow_forwardA beam of light passes from glass with refractive index 1.58 into water with a refractive index 1.33. The angle of the refracted ray in water is 58.0o . a) Draw a sketch of the situation showing the interface between the media, the normal line, the incident ray, the reflected ray, the refracted ray, and the angles of these rays relative to the normal line. b) Calculate the angle of incidence in the glass. Explainarrow_forward
- The Figure shows a ray of light traveling through air towards a thin layer of linseed oil (n = 1.50) resting on top of water (n=1.33). The light ray approaches the linseed oil at an angle of incidence of 48.2°. a. Determine the angle of refraction at the air-linseed oil boundary. b. Determine the angle of refraction at the linseed oil-water boundary.arrow_forwardA ray of sunlight traveling through water (n=1.32 - 1.34 across the visible spectrum) has an incident angle of 80° when it encounters a transparent aquarium wall with index of refraction n=1.2. There is air with index n=1 on the other side of the wall and the wall surfaces are parallel. Which statement below is true? Select one: a. Light emerges on the other side of the wall traveling parallel to the incident ray. b. Light emerges on the other side of the wall but different colors now travel in different directions. c. Light emerges on the other side of the wall and is now completely polarized. d. The light is completely reflected at the first interface. e. The light enters into the transparent wall bot is completely reflected at the second interface.arrow_forwardLight in a vacuum is incident on a transparent glass slab. The angle of incidence is 35.2º. The slab is then immersed in a pool of liquid. When the angle of incidence for the light striking the slab is 20.9°, the angle of refraction for the light entering the slab is the same as when the slab was in a vacuum. What is the index of refraction of the liquid? Number i Unitsarrow_forward
- A scuba diver training in a pool looks at his instructor as shown in the figure on the next page. The index of refraction of water is 1.33.a. What angle does the ray from the instructor’s face make with the perpendicular to the water surface at the point where the ray enters? The angle between the ray in the water and the perpendicular to the water surface is 25.0°. b. Find the height of the instructor’s head above the water. c. How much time does it take light to travel from the scuba diver to the instructor’s head? d. Find the apparent depth of the diver’s head below water as seen by the instructor.arrow_forwardThe diagram at the right shows series of transparent materials that form layers on top of each other and are surrounded by water (n=1.33). Layer 1 has an index of refraction of 1.91; layer 2 has an index of refraction of 1.52; layer 3 has an index of refraction of 1.36. A light ray in water approaches the boundary with layer 1 at 62.8 degrees.a. Determine the angles of refraction for the light as it enters into each layerb. Determine the angle of incidence of the light after it passes through each layer and strikes the boundary with the next layer.c. Determine the angle of refraction for the light as it refracts out of layer 3 into the water.arrow_forwardA ray of light traveling water is incident on an interface with a flat piece of glass. The wavelength of the light in the water (nwater = 1.333) is 726 nm and its wavelength in the glass is 544 nm. If the ray in water makes an angle of 56° with respect to the normal to the interface, what angle does the refracted ray in the glass make with respect to the normal? A. 25.4° В. 38.4° С. 43.8° D. 54.2°arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning