Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 34, Problem 31P
An optical fiber has an index of refraction n and diameter d. It is surrounded by vacuum. Light is sent into the fiber along its axis as shown in Figure P34.31. (a) Find the smallest outside radius Rmin permitted for a bend in the fiber if no light is to escape. (b) What If? What result does part (a) predict as d approaches zero? Is this behavior reasonable? Explain. (c) As n increases? (d) As n approaches 1? (c) Evaluate Rmin assuming the fiber diameter is 100 μm and its index of refraction is 1.40.
Figure P34.31
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Q.1 A light ray is reflected from a mirror with an angle 60.0° to the normal. What was the angle
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Chapter 34 Solutions
Physics for Scientists and Engineers
Ch. 34.3 - Prob. 34.1QQCh. 34.4 - If beam is the incoming beam in Figure 34.10b,...Ch. 34.4 - Light passes from a material with index of...Ch. 34.6 - In photography, lenses in a camera use refraction...Ch. 34.7 - Prob. 34.5QQCh. 34 - Prob. 1PCh. 34 - The Apollo 11 astronauts set up a panel of...Ch. 34 - As a result of his observations, Ole Roemer...Ch. 34 - A dance hall is built without pillars and with a...Ch. 34 - You are working for an optical research company...
Ch. 34 - Prob. 6PCh. 34 - Prob. 7PCh. 34 - Two flat, rectangular mirrors, both perpendicular...Ch. 34 - Prob. 9PCh. 34 - A ray of light strikes a flat block of glass (n =...Ch. 34 - Prob. 11PCh. 34 - Prob. 12PCh. 34 - A laser beam is incident at an angle of 30.0 from...Ch. 34 - A ray of light strikes the midpoint of one face of...Ch. 34 - When you look through a window, by what time...Ch. 34 - Light passes from air into flint glass at a...Ch. 34 - You have just installed a new bathroom in your...Ch. 34 - A triangular glass prism with apex angle 60.0 has...Ch. 34 - You are working at your university swimming...Ch. 34 - Prob. 20PCh. 34 - Prob. 21PCh. 34 - A submarine is 300 m horizontally from the shore...Ch. 34 - Prob. 23PCh. 34 - A light beam containing red and violet wavelengths...Ch. 34 - Prob. 25PCh. 34 - The speed of a water wave is described by v=gd,...Ch. 34 - For 589-nm light, calculate the critical angle for...Ch. 34 - Prob. 28PCh. 34 - A room contains air in which the speed of sound is...Ch. 34 - Prob. 30PCh. 34 - An optical fiber has an index of refraction n and...Ch. 34 - Consider a horizontal interface between air above...Ch. 34 - How many times will the incident beam in Figure...Ch. 34 - Consider a beam of light from the left entering a...Ch. 34 - Why is the following situation impossible? While...Ch. 34 - Prob. 36APCh. 34 - When light is incident normally on the interface...Ch. 34 - Refer to Problem 37 for its description of the...Ch. 34 - A light ray enters the atmosphere of the Earth and...Ch. 34 - A light ray enters the atmosphere of a planet and...Ch. 34 - Prob. 41APCh. 34 - Prob. 42APCh. 34 - Prob. 43APCh. 34 - Prob. 44APCh. 34 - Prob. 45APCh. 34 - As sunlight enters the Earths atmosphere, it...Ch. 34 - A ray of light passes from air into water. For its...Ch. 34 - Prob. 48APCh. 34 - Prob. 49APCh. 34 - Figure P34.50 shows a top view of a square...Ch. 34 - Prob. 51APCh. 34 - Prob. 52CPCh. 34 - Prob. 53CPCh. 34 - Pierre de Fermat (16011665) showed that whenever...Ch. 34 - Prob. 55CPCh. 34 - Suppose a luminous sphere of radius R1 (such as...Ch. 34 - Prob. 57CP
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- How many times will the incident beam in Figure P34.33 (page 922) be reflected by each of the parallel mirrors? Figure P34.33arrow_forwardFigure P23.28 shows a curved surface separating a material with index of refraction n1 from a material with index n2. The surface forms an image I of object O. The ray shown in red passes through the surface along a radial line. Its angles of incidence and refraction are both zero, so its direction does not change at the surface. For the ray shown in blue, the direction changes according to n1 sin 1 = n2 sin 2. For paraxial rays, we assume 1 and 2 are small, so we may write n1 tan 1 n2 tan 2. The magnification is defined as M = h/h. Prove that the magnification is given by M = n1q/n2p. Figure P23.28arrow_forwardA 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.arrow_forward
- An optical fiber has an index of refraction n and diameter d. It is surrounded by vacuum. Light is sent into the fiber along its axis as shown in Figure P34.31. (a) Find the smallest outside radius Rmin permitted for a bend in the fiber if no light is to escape. (b) What If? What result does part (a) predict as d approaches zero? Is this behavior reasonable? Explain. (c) As n increases? (d) As n approaches 1? (c) Evaluate Rmin assuming the fiber diameter is 100 m and its index of refraction is 1.40. Figure P34.31arrow_forwardFigure P26.72 shows a thin converging lens for which the radii of curvature of its surfaces have magnitudes of 9.00 cm and 11.0 cm. The lens is in front of a concave spherical mirror with the radius of curvature R = 8.00 cm. Assume the focal points F1 and F2 of the lens are 5.00 cm from the center of the lens. (a) Determine the index of refraction of the lens material. The lens and mirror are 20.0 cm apart, and an object is placed 8.00 cm to the left of the lens. Determine (b) the position of the final image and (c) its magnification as seen by the eye in the figure. (d) Is the final image inverted or upright? Explain.arrow_forwardFigure P23.28 shows a curved surface separating a material with index of refraction n1 from a material with index n2. The surface forms an image I of object O. The ray shown in red passes through the surface along a radial line. Its angles of incidence and refraction are both zero, so its direction does not change at the surface. For the ray shown in blue, the direction changes according to n1 sin 1 = n2 sin 2. For paraxial rays, we assume 1 and 2 are small, so we may write n1 tan 1 n2 tan 2. The magnification is defined as M = h/h. Prove that the magnification is given by M = n1q/n2p. Figure P23.28arrow_forward
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