Problem 6: The figure shows the path of a beam of light through several layers of different indices of refraction. a) If 0₁ = 30°, what is the angle 02 of the emerging beam? b) What is the minimum incident angle 0₁ in order to have total internal reflection at the surface between the n = 1.2 medium and the n = 1 medium (air)?

Problem 6: The figure shows the path of a beam of light through several layers of different indices of refraction. a) If 0₁ = 30°, what is the angle 02 of the emerging beam? b) What is the minimum incident angle 0₁ in order to have total internal reflection at the surface between the n = 1.2 medium and the n = 1 medium (air)?

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 25PQ

See similar textbooks

Similar questions

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?
A 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.
Light enters a prism of crown glass and refracts at an angle of 5.00 with respect to the normal at the interface. The crown glass has a mean index of refraction of 1.51. It is combined with one flint glass prism (n = 1.65) to produce no net deviation. a. Find the apex angle of the flint glass. b. Assume the index of refraction for violet light (v = 430 nm) is nv = 1.528 and the index of refraction for red light (r = 768 nm) is nr = 1.511 for crown glass. For flint glass using the same wavelengths, nv = 1.665 and nr = 1.645. Find the net dispersion.
Light traveling in a medium of index of refraction n1 is incident on another medium having an index of refraction n2. Under which of the following conditions can total internal reflection occur at the interface of the two media? (a) The indices of refraction have the relation n2 n1. (b) The indices of refraction have the relation n1 n2. (c) Light travels slower in the second medium than in the first. (d) The angle of incidence is less than the critical angle. (e) The angle of incidence must equal the angle of refraction.
How many times will the incident beam in Figure P34.33 (page 922) be reflected by each of the parallel mirrors? Figure P34.33
The figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n. 1.08.) n = 1.60 n = 1.40 n = 1.20 (a) If 01 36.0°, what is the angle 0, of the emerging beam? %D (b) What is the smallest incident angle 0, to have total internal reflection at the surface between the medium with n = 1.20 and the medium withn, = 1.08?
The figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n 1.08.) n = 1,60 n = 1.40 n = 1.20 (a) If 0, = 20.0°, what is the angle 0, of the emerging beam? (b) What is the smallest incident angle 0, to have total internal reflection at the surface between the medium with n = 1.20 and the medium with n. = 1.08?
In the figure, light is incident at angle 6, = 41.0° on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n1 = 1.28, n, = 1.38, ng = 1.30 and n4 = 1.43, what is the value of (a) 05 and (b) 04? Air (a) 05 = NumberT32.02 UnitsTo (degrees) (b)04 = NumberT43.1 Units (degrees)
(a) A small light fixture on the bottom of a swimming pool is 0.86 m below the surface. The light emerging from the still water forms a circle on the water surface. What is the diameter of this circle? (Give your answer, in m, to at least two decimal places.) m (b) What If? If a 1.58 cm thick layer of oil (noil 1.35) is spread uniformly over the surface of the water, what is the diameter of the circle of light emerging from the swimming pool? (Give your answer, in m, to at least two decimal places.) m =
In the figure, light is incident at angle 0, = 41° on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If nį = 1.30, n2 = 1.40, n3 = 1.32 and n4 = 1.43, what is the value of 04? 20. Air ng 74 (a) 28.8° (b) 32.8° (c) 36.6° (d) 40.6° (e) None of the above
A light ray is incident normal to one face of a triangular block and strikes point P on the other side. The block is made of material with index of refraction of 1.71. The block is immersed in oil, having index of refraction of 1.10. What is the maximum angle y for which total internal reflection occurs at P? P O Not possible to have total reflection at P. O 30° O 60° O 50° O 40° O 45°
A) What is the Speed of light in glass when the index of refraction for glass is 1.52 ? B) Speed of light in sulphuric acid at room temperature is 2.11 x 10° m/s What is the index of refraction for sulphuric acid ? C) A light Ray travels from water (n,=1.33) to air (n, - 1.00). If the angle of refraction is 56° then What is the angle of incidence ?