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

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

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter34: The Nature Of Light And The Principles Of Ray Optics

Section: Chapter Questions

Problem 36AP

See similar textbooks

Similar questions

The index of refraction for water is about 43. What happens as a beam of light travels from air into water? (a) Its speed increases to 43c, and its frequency decreases. (b) Its speed decreases to 34c, and its wavelength decreases by a factor of 34. (c) Its speed decreases to 34c, and its wavelength increases by a factor of 43. (d) Its speed and frequency remain the same. (e) Its speed decreases to 34c, and its frequency increases.
A ray of light strikes a flat, 2.00-cm-thick block of glass (n = 1.50) at ail angle of 30.0 with respect to the normal (Fig. P22.18). (a) Find the angle of refraction at the lop surface. (b) Find the angle of incidence at the bottom surface and the refracted angle. (c) Find the lateral distance d by which the light beam is shifted. (d) Calculate the speed of light in the glass and (e) the time required for the light to pass through the glass block. (f) Is the travel time through the block affected by the angle of incidence? Explain.
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.
A ray of light strikes the midpoint of one face of an equiangular (60°–60°–60°) glass prism (n = 1.5) at an angle of incidence of 34.0°. (a) Trace the path of the light ray through the glass, and find the angles of incidence and refraction at each surface.First surface: ?incidence = ?refraction = Second surface: ?incidence = ?refraction = (b) If a small fraction of light is also reflected at each surface, find the angles of reflection at the surfaces. (first surface) ?reflection (second surface) ?reflection
A ray of light strikes the midpoint of one face of an equiangular (60°–60°–60°) glass prism (n = 1.5) at an angle of incidence of 31.4°. (a) Trace the path of the light ray through the glass, and find the angles of incidence and refraction at each surface.First surface: ?incidence = ° ?refraction = ° Second surface: ?incidence = ° ?refraction = ° (b) If a small fraction of light is also reflected at each surface, find the angles of reflection at the surfaces. ?reflection = ° (first surface) ?reflection = ° (second surface)
A fish that is d=d= 2.9 m below the surface looks up and sees a child fishing from the shore. What angle of incidence (θ1) does the ray from the person’s face make with the perpendicular to the water at the point where the ray enters? The angle of refraction (θ2) between the ray in the water and the perpendicular to the water is 35.8°. θ1 = 51.1 What is the height of the person’s head above the water? Assume the person is standing L= 7.4 m away from the point where the incident ray intersects the water. h = m
If a ray of light transitions from air into glass and we assume air has an index of refraction of n1=1.0 and θ1 is the angle of incidence, what variable should the slope of a graph of sin(θ1) as a function of sin(θ2) correspond to?
A ray of light is incident on the mid-point of a glass prism surface at an angle of 23.4° with the normal. For the glass, n = 1.60, and the prism apex angle is 51.8°. What is the angle of incidence at the glass-to-air surface on the side opposite where the ray exits the prism?
A beam of light reflects and refracts at point A on the interface between material 1 with index of refracton n1=1.3 and material 2 with index of refracton n2=1.6. the incident beam makes an angle of 40° with the interface (surface). What is the angle of refraction?
Light, when incident on a given surface, presents a reflected and a refracted component. When the reflected beam is perpendicular to the refracted beam, the angle of incidence θᵢ is called Brewster's angle. If a beam of light is initially in air with index of refraction n₁ = 1 and is incident on a glass surface (index of refraction n₂ = 1.5), Brewster's angle is: a)82.9° b)36.3° c)75.4° d)62.9° e)56.3° f)45.7°
A light beam is traveling through an unknown substance. When it strikes a boundary between that substance and the air (?air≈1),(nair≈1), the angle of reflection is 25.0∘25.0∘ and the angle of refraction is 47.0∘.47.0∘. What is the index of refraction ?n of the substance?
A beam of light enters a flint glass semicircular disk with an index of refraction of ng = 1.66 at the midpoint of the flat side as shown in the figure. Determine the angle of incidence in air such that the refracted light will travel through the glass along a normal to the semicircular surface and hit a projection screen with the coordinates x = 5.50 cm and y = 18.1 cm. =___°