A fish is swimming 3.25 meters below the surface of the lake (n=1.33), as the fisherman approaches in his boat. What is the critical angle for light leaving the fish to undergo total internal reflection? (Give your answer in degrees.) How close does the fisherman need to get to see the fish (labeled r in the image)? Ignore the fisherman's height above the water for this calculation. Give your answer in meters.

A fish is swimming 3.25 meters below the surface of the lake (n=1.33), as the fisherman approaches in his boat. What is the critical angle for light leaving the fish to undergo total internal reflection? (Give your answer in degrees.) How close does the fisherman need to get to see the fish (labeled r in the image)? Ignore the fisherman's height above the water for this calculation. Give your answer in meters.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter38: Refraction And Images Formed By Refraction

Section: Chapter Questions

Problem 15PQ

See similar textbooks

Similar questions

In the figure, a ray of light is incident on the flat surface from within a material with refractive index n₁ = 1.68. The incidence angle 0₁ = 41 degrees. The refractive index of the second material n₂ = 1.25. What is the refracted angle, 02? 0₂= What is the critical angle for this pair of materials? Note: total internal reflection reflection occurs for incidence angles equal to or greater than the critical angle. 0₁= degrees degrees n₂ n₁ 0₁ I 0₂ 2 0₁ 1
A beam of light is incident from a liquid on the surface of transparent solid. The angle of incidence is 30°and the angle of refraction is 18°. Draw clear physics diagram of the problem – one for each part of the problem (3 total). label relevant angles. Find the critical angle for this solid when it is surrounded by the liquid. What is the angle between the reflected and refracted rays when the angle of incidence is 3°less than the critical angle?
A ray of light strikes a surface at an angle of 72.2° with respect to the normal. Use your knowledge on reflection and refraction of light to draw the reflected and/or refracted rays through the crown glass and the materials A (nA=1.6) and B (nB=1.362). Justify your answers Note: your illustration must include the significant angles such as the angles of reflection and refraction.)
A beam of light (angle 0,=17°) inside a transparent material (n=1.3) hits the surface. Notice the change in subscripts of the angles. For example, the refraction angle is ēt, for "transmitted", whereas Or is the "reflected" angle. Use the correct quantity, not necessarily the variable name. a)Calculate the transmitted (refracted) angle. b)lf n = 2.1 and 0, = 26°. Calculate 0r, the reflected angle.
A 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.
A goldfish is swimming inside a spherical bowl of water having an index of refraction n = 1.333. Suppose the goldfish is p 10.4 cm from the wall of a bowl of radius |R| = 15.8 cm, as in the figure below. Neglecting the refraction of light caused by the wall of the bowl, determine the apparent distance of the goldfish from the wall according to an observer outside the bowl. 1.07 Your response differs from the correct answer by more than 10%. Double check your calculations. cm behind the glass
Carbon disulfide (n2 = 1.63) is poured into a container made of crown glass (n1 = 1.52). What is the critical angle for internal reflection of a ray in the liquid when it is incident on the liquid-to-glass surface?
As shown in the figure, a layer of water (n=1.333) covers a slab made of glass (n=1.523) which is on top of another slab of an unknown material X. Suppose a ray of light is traveling upward according to the path indicated by the red arrows in the figure. How should light be incident through the material X so that no light will be refracted through the water (i.e for total internal reflection to occur in the glass medium?)
ray of light strikes a flat block of glass at an incidence angle of ?1 = 38.6°. The glass is 2.00 cm thick and has an index of refraction that equals ng = 1.52. 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, ?3, 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, ?4, does the ray emerge from the bottom of the glass? (Enter your answer in degrees to at least 1 decimal place.) 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)? e.) At what speed (in m/s) does the light travel within the glass? f.) How many nanoseconds does the light take to pass through the glass along the angled path shown here?
Medium 1 (n₁= 1.37) and medium 2 (n₂= 4.80) are two rectangular- shaped layers stacked together. An incident ray in medium 2 makes a right triangle with sides AB and BC; AB is along the normal direction of the interface. If the height of AB is h = 8.8 m, what is the minimum distance of BC (unit in meters) that will result in total internal reflection at the interface?
A ray of light is incident on the left vertical face ofa glass cube of refractive index n2, as shown in figure below. The plane of incidence is the plane of the page, and the cube is surrounded by liquid of refractive index n. The largest angle of incidence f for which total internal reflection occurs at the top surface is (Hint, you may use sin (E-e) = cos(e)) 2 sin (J(n2/n,)? - 1) sin (n2/n) equalto equ alto sin (n1/n2) 1 sin 1) equalto: equ alto:
Consider a red light that is traveling inside the water arc of a dancing fountain. Using n of water = 4/3 and n of air = 1, which of the following angles of incidence will lead to total internal reflection?