A light beam is incident from air at 0₂ = 45° on the top face AB of a prism. The other two faces of the prism (AC and BC) are partially submerged into a liquid with refractive index n₁ = √3/2. The index of refraction of the prism is np = √3. The beam of light emerges from the prism parallel to the prism- liquid interface BC. Determine the prism apex angle at point B. 0a 8 = 15.0° 0 = 20.9° 9=30.0° = 45.0° C A na = 1 np = √3 0 n₁ = √3/2

A light beam is incident from air at 0₂ = 45° on the top face AB of a prism. The other two faces of the prism (AC and BC) are partially submerged into a liquid with refractive index n₁ = √3/2. The index of refraction of the prism is np = √3. The beam of light emerges from the prism parallel to the prism- liquid interface BC. Determine the prism apex angle at point B. 0a 8 = 15.0° 0 = 20.9° 9=30.0° = 45.0° C A na = 1 np = √3 0 n₁ = √3/2

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter25: Reflection And Refraction Of Light

Section: Chapter Questions

Problem 7OQ: Light traveling in a medium of index of refraction n1 is incident on another medium having an index...

See similar textbooks

Similar questions

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.
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?
How many times will the incident beam in Figure P34.33 (page 922) be reflected by each of the parallel mirrors? Figure P34.33
Consider a beam of light from the left entering a prism of apex angle as shown in Figure P34.34. Two angles of incidence, 1, and 3, are shown as Hell as two angles of refraction, 2 and 4. Show that = 1 + 3. Figure P34.34
Light 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 P38.31
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.
A ray of sunlight is passing from diamond into crown glass; the angle of incidence is 29.60°. The indices of refraction for the blue and red components of the ray are: blue (ndiamond 2.444, ncrown glass = 1.531), and red (ndiamond 2.410, ncrown glass = 1.520). Determine the angle between the refracted blue and red rays in the crown glass. Number i = Units -
A ray of light is incident on an air/water interface. The ray makes an angle of theta= 33 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2 = 1.33. Numerically, what is the angle in degree?
A ray of sunlight is passing from diamond into crown glass; the angle of incidence is 30.00°. The indices of refraction for the blue and red components of the ray are: blue (ndiamond = 2.444, ncrown glass = 1.531), and red (ndiamond = 2.410, ncrown glass = 1.520). Determine the angle between the refracted blue and red rays in the crown glass. %3D Additional Materials eBook 398 1,375 APR 21 étv MacBook Air 80 esc F5 F6 F7 F1 F2 F3 F4 #3 %$4 % & 1 2 3. 4 Y くO
In Figure (a), a beam of light in material 1 is incident on a boundary at an angle of 28°. The extent to which the light is bent due to refraction depends, in part, on the index of refraction n2 of material 2. Figure (b) gives the angle of refraction 02 versus n2 for a range of possible n2 values, from na = 1.40 to np = 1.97. What is the speed of light in material 1? 38 28 28° 18° (a) (b) Number Units the tolerance is +/-5%
A ray of light strikes a flat glass block at an incidence angle of ?1 = 34.4°. The glass is 2.00 cm thick and has an index of refraction that equals ng = 1.20. A light ray incident on a glass block of thickness 2.00 cm is shown. The ray travels down and to the right and is incident to the top of the block at an angle ?1 to the normal of the surface. The ray inside the block moves down and to the right but at a steeper slope than the incident ray, making an angle of ?2 with the vertical. It is incident on the bottom surface of the block, making an angle of ?3 with the vertical, and exits moving down and to the right, at a less steep slope, making an angle of ?4 with the vertical. A dashed line extends from the original path of the ray down in the block and is shown to be a distance d from the ray that exits the glass block. 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)? cm (e) At…
A ray of light strikes a flat glass block at an incidence angle of ?1 = 34.4°. The glass is 2.00 cm thick and has an index of refraction that equals ng = 1.20. A light ray incident on a glass block of thickness 2.00 cm is shown. The ray travels down and to the right and is incident to the top of the block at an angle ?1 to the normal of the surface. The ray inside the block moves down and to the right but at a steeper slope than the incident ray, making an angle of ?2 with the vertical. It is incident on the bottom surface of the block, making an angle of ?3 with the vertical, and exits moving down and to the right, at a less steep slope, making an angle of ?4 with the vertical. A dashed line extends from the original path of the ray down in the block and is shown to be a distance d from the ray that exits the glass block. (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…