Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
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Chapter 33, Problem 17P
To determine
Reason behind the resolving of two headlights of oncoming car is easier during the night time than daytime.
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The eyes of a person standing at the edge of a 1.2-m-deep swimming pool are 1.6 m above the surface of the water.Light coming from a silver dollar at the bottom of the pool entersthe person's eyes at an angle of 37° below the horizontal. Draw a picture of a light ray that leaves the dollar and enters the person'seyes and calculate the horizontal distance from the person to the dollar.
When the sun is either rising or setting and appears to be just on the horizon, it is in fact below the horizon. The explanation for this seeming paradox is that light from the sun bends slightly when entering the earth’s atmosphere, as shown in Fig. Since our perception is based on the idea that light travels in straight lines, we perceive the light to be coming from an apparent position that is an angle d above the sun’s true position. (a) Make the simplifying assumptions that the atmosphere has uniform density, and hence uniform index of refraction n, and extends to a height h above the earth’s surface, at which point it abruptly stops. Show that the angle d is given by as attached. where R = 6378 km is the radius of the earth. (b) Calculate d using n = 1.0003 and h = 20 km. How does this compare to the angular radius of the sun, which is about one quarter of a degree? (In actuality a light ray from the sun bends gradually, not abruptly, since the density and refractive index of the…
At night, a person (in air) stands, at the edge of a water-filled swimming pool with a flashlight in hand, looking down at an angle into the pool for a set of car keys (he/she) dropped accidentally to the bottom of the pool earlier in the day. The flashlight is adjusted until the keys can be seen. The vertical distance from the flashlight to the water is 1.5m. The horizontal distance from the flashlight to the point at which the light beam enters the water is 1.7m. The pool is 5m deep. What is the horizontal distance, measured from the from the edge of the pool, starting at the bottom, to the keys? Consider the index of refraction for both air and water in your calculations.
Chapter 33 Solutions
Physics for Scientists and Engineers, Vol. 1
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- The headlights of a car are 1.3 m apart. What is the maximum distance at which the eye can resolve these two headlights? Take the pupil diameter to be 0.40 cm.arrow_forwardA light ray initially in water enters a transparent substance at an angle of incidence of 37.0, and the transmitted ray is refracted at an angle of 25.0. Calculate the speed of light in the transparent substance.arrow_forwardThe headlights of a car are 1.3 m apart. What is the maximum distance at which the eye can resolve these two headlights? Take the pupil diameter to be 0.40 cm.arrow_forward
- Light rays from the Sun make a 30° angle to the vertical when seen from below the surface of a body of water. At what angle above the horizon is the Sun?arrow_forwardSuppose a man stands in front of a mm-or as show below. His eyes are 1.65 m above the floor and the top of his head is 0.13 m higher. Find the height above the floor of the top and bottom of the smallest minor in which he can see both the top of his head and his feet. How is this distance related to the man’s height?arrow_forwardA 4.00-m-long pole stands vertically in a freshwater lake having a depth of 2.00 m. The Sun is 40.0° above the horizontal. Determine the length of the pole’s shadow on the bottom of the lake.arrow_forward
- What happens to a light wave when it travels from air into glass? (a) Its speed remains the same. (b) Its speed increases. (c) Its wavelength increases. (d) Its wavelength remains the same. (e) Its frequency remains the same.arrow_forwardLight passes from a material with index of refraction 1.3 into one with index of refraction 1.2. Compared with the incident ray, what happens to the refracted ray? (a) It bends toward the normal. (b) It is undeflected. (c) It bends away from the normal.arrow_forwardThe 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.arrow_forward
- Referring to the electric room heater considered in the first example in this section, calculate the intensity of IR radiation in W/m2 projected by the concave mirror on a person 3.00 m away. Assume that the healing element radiates 1500 W and has an area of 100 cm2, and that half of the radiated power is reflected and focused by the mirror.arrow_forwardA 7.5x binocular produces an angular magnification of 7.50, acting like a telescope. (Mirrors are used to make the image upright.) If the binoculars have objective lenses with a 75.0 cm focal length, what is the focal length of the eyepiece lenses?arrow_forward(a) Using information in Figure 25.53, find the height of the instructor's head above the water, noting that you will first have to calculate the angle of incidence. (b) Find the apparent depth of the diver’s head below water as seen by the instructor.arrow_forward
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Laws of Refraction of Light | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=4l2thi5_84o;License: Standard YouTube License, CC-BY