Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 36, Problem 11P
You are working in an optical research laboratory. One of your projects involves the use of a double slit through which you pass orange laser light of wavelength 590 nm. Unfortunately, because of budget cuts, there are a lot of researchers in the same room, with lots of equipment stuffed in the room, and, in particular, lots of laser beams flying around the room. One day, you find that a second laser beam of unknown origin and different color is entering your double slit along with your orange beam and you are seeing an interference pattern that is the sum of those due to the two beams. You notice that the combined pattern is pretty much a mess, but wait! The m = 3 maximum of your orange laser beam pattern is pure; there is absolutely no mixture of the other color at that point. From this fact, you determine the wavelength of the offending laser light so that you can figure out which other researcher to ask to modify the aiming of his laser.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
The pupil of an eagle's eye has a diameter of 6.0 mm. Two field mice are separated by 0.010 m. From a distance of 197 m, the eagle sees
them as one unresolved object and dives toward them at a speed of 20 m/s. Assume that the eagle's eye detects light that has a
wavelength of 550 nm in vacuum. How much time passes until the eagle sees the mice as separate objects?
t= i
The pupil of an eagle's eye has a diameter of 6.0 mm. Two field mice are separated by 0.010 m. From a distance of 166 m, the eagle sees
them as one unresolved object and dives toward them at a speed of 24 m/s. Assume that the eagle's eye detects light that has a
wavelength of 550 nm in vacuum. How much time passes until the eagle sees the mice as separate objects?
t= i
eTextbook and Media
Often in optics scientists take advantage of effects that require very high intensity light. To get the desired effect a scientist uses a laser with power P = 0.0015 W to reach an intensity of I = 350 W/cm2 by focusing it through a lens of focal length f = 0.15 m. The beam has a radius of r = 0.0011 m when it enters the lens.Randomized VariablesP = 0.0015 WI = 350 W/cm2f = 0.15 mr = 0.0011 m
Part (a) Express the radius of the beam, rp, at the point where it reaches the desired intensity in terms of the given quantities. (In other words, what radius does the beam have to have after passing through the lens in order to have the desired intensity?)
Part (b) Give an expression for the tangent of the angle that the edge of the beam exits the lens with with respect to the normal to the lens surface, in terms of r and f? Part (c) Express the distance, D, between the lens's focal point and the illuminated object using tan(α) and rp. Part (d) Find the distance, D, in centimeters.
Chapter 36 Solutions
Physics for Scientists and Engineers
Ch. 36.2 - Which of the following causes the fringes in a...Ch. 36.3 - Using Figure 36.6 as a model, sketch the...Ch. 36.5 - One microscope slide is placed on top of another...Ch. 36 - Two slits are separated by 0.320 mm. A beam of...Ch. 36 - Why is the following situation impossible? Two...Ch. 36 - A laser beam is incident on two slits with a...Ch. 36 - In a Youngs double-slit experiment, two parallel...Ch. 36 - Light of wavelength 620 nm falls on a double slit,...Ch. 36 - Light with wavelength 442 nm passes through a...Ch. 36 - A student holds a laser that emits light of...
Ch. 36 - A student holds a laser that emits light of...Ch. 36 - Coherent light rays of wavelength strike a pair...Ch. 36 - In Figure P36.10 (not to scale), let L = 1.20 m...Ch. 36 - You are working in an optical research laboratory....Ch. 36 - You are operating a new radio telescope that has...Ch. 36 - In the double-slit arrangement of Figure P36.13, d...Ch. 36 - Monochromatic light of wavelength is incident on...Ch. 36 - Prob. 15PCh. 36 - Show that the distribution of intensity in a...Ch. 36 - Green light ( = 546 nm) illuminates a pair of...Ch. 36 - Monochromatic coherent light of amplitude E0 and...Ch. 36 - A material having an index of refraction of 1.30...Ch. 36 - A soap bubble (n = 1.33) floating in air has the...Ch. 36 - A film of MgF2 (n = 1.38) having thickness 1.00 ...Ch. 36 - An oil film (n = 1.45) floating on water is...Ch. 36 - When a liquid is introduced into the air space...Ch. 36 - You are working as an expert witness for an...Ch. 36 - Astronomers observe the chromosphere of the Sun...Ch. 36 - A lens made of glass (ng = 1.52) is coated with a...Ch. 36 - Mirror M1 in Figure 36.13 is moved through a...Ch. 36 - Radio transmitter A operating at 60.0 MHz is 10.0...Ch. 36 - In an experiment similar to that of Example 36.1,...Ch. 36 - In the What If? section of Example 36.2, it was...Ch. 36 - Two coherent waves, coming from sources at...Ch. 36 - Raise your hand and hold it flat. Think of the...Ch. 36 - In a Youngs double-slit experiment using light of...Ch. 36 - Review. A flat piece of glass is held stationary...Ch. 36 - Figure P36.35 shows a radio-wave transmitter and a...Ch. 36 - Figure P36.35 shows a radio-wave transmitter and a...Ch. 36 - In a Newtons-rings experiment, a plano-convex...Ch. 36 - Measurements are made of the intensity...Ch. 36 - A plano-concave lens having index of refraction...Ch. 36 - Why is the following situation impossible? A piece...Ch. 36 - Interference fringes are produced using Lloyds...Ch. 36 - A plano-convex lens has index of refraction n. The...Ch. 36 - Prob. 43APCh. 36 - Prob. 44APCh. 36 - Astronomers observe a 60.0-MHz radio source both...Ch. 36 - Prob. 46CPCh. 36 - Our discussion of the techniques for determining...Ch. 36 - The condition for constructive interference by...Ch. 36 - Both sides of a uniform film that has index of...Ch. 36 - Slit 1 of a double-slit is wider than slit 2 so...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Two antennas located at points A and B are broadcasting radio waves of frequency 104.0 MHz. The signals start in phase with each other. The two antennas are separated by a distance d = 8.7 m. An observer is located at point P on the x axis, a distance x = 110.0 m from antenna A. The points A, P, and B form a right triangle. Now observer P walks along the x axis toward antenna A. What is P's distance from A when they first observe fully constructive interference between the two waves?arrow_forwardConsider a light wave passing through a slit and propagating toward a distant screen. Figure P37.53 shows the intensity variation for the pattern on the screen. Give a mathematical argument that more than 90% of the transmitted energy is in the central maximum of the diffraction pattern. Sugges- tion: You are not expected to calculate the precise percent- age, but explain the steps of your reasoning. You may use the identification 1 1 8 Imax asine -3T -27 -T 27 37 A Figure P37.53 ||arrow_forwardA light with a wavelength of 500 nm (red color) travels from a laser to a photocell in 15 ns. When a thin glass slab is placed normally in front of the photocell it takes the light 18 ns to travel from the laser to the photocell? When the Laser beam passes through the glass slab it changes to blue in color (λ = 660 nm). What is the thickness of the glass slab?arrow_forward
- The next two questions pertain to the same situation. Two antennas located at points A and B are broadcasting radio waves of a certain wavelength λ, perfectly in phase with each other. The two antennas are separated by a distance d = 300 m. An observer is at point P, located on the x-axis, at a distance x=400 m from antenna A, so that APB forms a right triangle with PB as hypotenuse. Another observer is at point Q, located on the y-axis, at a distance y=200 m from A. A d = 300m B x=400 m y y= = 200 m P X 7) For which one of the following wavelength values will the observer at point P detect a maximum signal strength? A) λ = 60 m B) λ = 80 m C) λ = 100 m |D) λ = 120 m E) λ = 140 m 8) If the wavelength of the radio waves used is λ = 50 m, the observer at point Q will see a A) constructive interference B) destructive interference The next two questions pertain to the situation described below.arrow_forwardAn investigator finds a fiber at a crime scene that he wishes to use as evidence against a suspect. He gives the fiber to a technician to test the properties of the fiber. To measure the diameter of the fiber, the technician places it between two flat glass plates at their ends as in Figure P24.24. When the plates, of length 14.0 cm, are illuminated from above with light of wavelength 6.50 x 102 nm, she observes bright interference bands separated by 0.580 mm. What is the diameter of the fiber?arrow_forwardA colloid consists of particles of one type of substance dispersed in another substance. Suspensions of electrically charged microspheres (microscopic spheres, such as polystyrene) in a liquid such as water can form a colloidal crystal when the microspheres arrange themselves in a regular repeating pattern under the influence of the electrostatic force. Colloidal crystals can selectively manipulate different wavelengths of visible light. Just as we can study crystalline solids by using Bragg reflection of x rays, we can study colloidal crystals through Bragg scattering of visible light from the regular arrangement of charged microspheres. Because the light is traveling through a liquid when it experiences the path differences that lead to constructive interference, it is the wavelength in the liquid that determines the angles at which Bragg reflections are seen. In one experiment, laser light with a wavelength in vacuum of 650 nm is passed through a sample of charged polystyrene…arrow_forward
- A colloid consists of particles of one type of substance dispersed in another substance. Suspensions of electrically charged microspheres (microscopic spheres, such as polystyrene) in a liquid such as water can form a colloidal crystal when the microspheres arrange themselves in a regular repeating pattern under the influence of the electrostatic force. Colloidal crystals can selectively manipulate different wavelengths of visible light. Just as we can study crystalline solids by using Bragg reflection of x rays, we can study colloidal crystals through Bragg scattering of visible light from the regular arrangement of charged microspheres. Because the light is traveling through a liquid when it experiences the path differences that lead to constructive interference, it is the wavelength in the liquid that determines the angles at which Bragg reflections are seen. In one experiment, laser light with a wavelength in vacuum of 650 nm is passed through a sample of charged polystyrene…arrow_forwardA colloid consists of particles of one type of substance dispersed in another substance. Suspensions of electrically charged microspheres (microscopic spheres, such as polystyrene) in a liquid such as water can form a colloidal crystal when the microspheres arrange themselves in a regular repeating pattern under the influence of the electrostatic force. Colloidal crystals can selectively manipulate different wavelengths of visible light. Just as we can study crystalline solids by using Bragg reflection of x rays, we can study colloidal crystals through Bragg scattering of visible light from the regular arrangement of charged microspheres. Because the light is traveling through a liquid when it experiences the path differences that lead to constructive interference, it is the wavelength in the liquid that determines the angles at which Bragg reflections are seen. In one experiment, laser light with a wavelength in vacuum of 650 nm is passed through a sample of charged polystyrene…arrow_forwardA colloid consists of particles of one type of substance dispersed in another substance. Suspensions of electrically charged microspheres (microscopic spheres, such as polystyrene) in a liquid such as water can form a colloidal crystal when the microspheres arrange themselves in a regular repeating pattern under the influence of the electrostatic force. Colloidal crystals can selectively manipulate different wavelengths of visible light. Just as we can study crystalline solids by using Bragg reflection of x rays, we can study colloidal crystals through Bragg scattering of visible light from the regular arrangement of charged microspheres. Because the light is traveling through a liquid when it experiences the path differences that lead to constructive interference, it is the wavelength in the liquid that determines the angles at which Bragg reflections are seen. In one experiment, laser light with a wavelength in vacuum of 650 nm is passed through a sample of charged polystyrene…arrow_forward
- Your friend has been given a laser for her birthday. Unfortunately, she did not receive a manual with it and so she doesn't know the wavelength that it emits. You help her by performing a double-slit experiment, with slits separated by 0.36 mm. You find that the two m=1 bright fringes are 5.5 mm apart on a screen 1.6 mm from the slits. What is the wavelength the laser emits?arrow_forwardTwo antennas located at points A and B are broadcasting radio waves of frequency 96.0 MHz, perfectly in phase with each other. The two antennas are separated by a distance d= 6.20 m. An observer, P, is located on the x axis, a distance x= 84.0 m from antenna A, so that APB forms a right triangle with PB as hypotenuse. What is the phase difference between the waves arriving at P from antennas A and B? A P X B 4.594x10-¹ rad Computer's answer now shown above. You are correct. Your receipt no. is 158-6031 > Previous Tries Now observer P walks along the x axis toward antenna A. What is P's distance from A when he first observes fully destructive interference between the two waves? 1.203 m As P gets closer A, the path length difference gets larger. What's the smallest path length difference that gives destructive interference? Submit Answer Tries 0/6 Submit Answer Incorrect. Tries 1/6 Previous Tries If observer P continues walking until he reaches antenna A, at how many places along the x…arrow_forwardThe plane z = 0 separates two media: glass(nglass = 1.51 for z < 0) and water (nH20 = 1.33 for z > 0). The optical beam of a helium-cadmium (He-Cd) laser has a wavelength in vacuum of 325 nm. Consider that the laser beam propagates in the x-z plane from the glass side towards the glass/water interface at an angle of incidence of 30° (angle between the incident beam and the normal to the interface). Determine the Cartesian components of the k-vector (kx, ky, kz) for the incident reflected, and transmitted beams.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Spectra Interference: Crash Course Physics #40; Author: CrashCourse;https://www.youtube.com/watch?v=-ob7foUzXaY;License: Standard YouTube License, CC-BY