Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Question
Chapter 25.3, Problem 3aTH
To determine
The number of slits in the mask
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Suppose that the simulated light source was polychromatic, with both a red and a yellow component, as shown on the right. How easy would it be to identify the positions (yP ) of the separate red and yellow interference maxima? Can you think of a change in the appearance of the interference pattern of each individual wavelength that, were it to happen, would help to distinguish the red from the yellow peaks?
Please show formula and units
For the figure shown below, let R = 1.20 m and d = 0.120 mm and assume the slit system is illuminated with monochromatic 500 nm light. The first bright fringe (m = 1) happens at point P. Calculate the phase difference (ϕ) between the two wave fronts arriving to point P in radians when:
a) θ = 0.500⸰
b) y = 5.00 mm. The value of θ in part b is not the same as the value of θ from part a. However, you may assume that θ in part b is small.
A thin beam of white light is directed at a flat sheet of silicate flint glass at an angle of 20° to the surface of the sheet. Due to dispersion in the glass, the beam is spread out in a spectrum as shown in the figure. The refractive index of silicate flint glass versus wavelength is graphed in figure to the right. (a) The rays (A and B) shown in the figure correspond to the extreme wavelengths. Which corresponds to red and which to violet? Explain your reasoning. (b) For what thickness of the glass sheet will the spectrum be 1.0 mm wide, as shown (see Problem 7)? Hint: you must first solve Problem 7 first before doing Problem 8). Answer: 93.5 mm
Chapter 25 Solutions
Tutorials in Introductory Physics
Ch. 25.1 - The top view diagram at right illustrates two...Ch. 25.1 - The top view diagram at right illustrates two...Ch. 25.1 - Label each nodal line and line of maximum...Ch. 25.1 - Prob. 2bTHCh. 25.1 - How do the angles a and ß compare? Explain.Ch. 25.1 - Prob. 3bTHCh. 25.1 - Prob. 3cTHCh. 25.1 - The enlarged diagram at right illustrates the...Ch. 25.1 - For what values of D (in terms of ) will there be:...Ch. 25.1 - Use your answers from parts d and e to write...
Ch. 25.1 - Determine the angles for which there will be nodal...Ch. 25.1 - Consider the following incorrect statement...Ch. 25.2 - In the space above the photograph at right,...Ch. 25.2 - The screen is 2.2m from the slits, and the...Ch. 25.2 - Suppose that the width of the right slit were...Ch. 25.2 - The graph of intensity versus angle at right...Ch. 25.3 - The photograph at right illustrates the pattern...Ch. 25.3 - The photograph at right illustrates the pattern...Ch. 25.3 - Consider the original doubleslit pattern from...Ch. 25.3 - Consider the original doubleslit pattern from...Ch. 25.3 - Consider the original doubleslit pattern from...Ch. 25.3 - Prob. 3aTHCh. 25.3 - Monochromatic light from a distant point source...Ch. 25.4 - Light from a distant point source is incident on a...Ch. 25.4 - The graph at right shows the intensity on a...Ch. 25.4 - The graph at right shows the intensity on a...Ch. 25.4 - There is a systematic way of determining the...Ch. 25.4 - There is a systematic way of determining the...Ch. 25.4 - There is a systematic way of determining the...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Light from a laser (=633nm) is incident on two...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.6 - Recall the situation from tutorial, in which light...Ch. 25.6 - Recall the situation from tutorial, in which light...Ch. 25.6 - A plate of glass (n=1.5) is placed over a flat...Ch. 25.6 - A plate of glass (n=1.5) is placed over a flat...Ch. 25.6 - A plate of glass (n=1.5) is placed over a flat...Ch. 25.7 - Identical beams of light are incident on three...Ch. 25.7 - Prob. 1bTHCh. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized red light is incident on two...Ch. 25.7 - Unpolarized red light is incident on two...Ch. 25.7 - Unpolarized red light is incident on two...Ch. 25.7 - Unpolarized red light is incident on two...
Knowledge Booster
Similar questions
- Discuss the two cases, constructive and destructive interferences, as a result of thin-film interference. (Provide figure/s to support your statement.)arrow_forwardTwo radio antennas separated by d = 270 m, as shown in the figure below, simultaneously broadcast identical signals at the same wavelength. A car travels due north along a straight line at position x = 1,030 m from the center point between the antennas, and its radio receives the signals. Hint: Do not use the small-angle approximation in this problem. (a) If the car is at the position of the second maximum after that at point O when it has traveled a distance of y = 400 m northward, what is the wavelength of the signals? m(b) How much farther must the car travel from this position to encounter the next minimum in reception? marrow_forwardWhat minimum path length is needed to introduce a phase shift of 205° in light of wavelength 566 nm? (Give your answer in nm.) What phase shift will that path difference you calculated in part (a) introduce in light of wavelength 799 nm? (Give you answer in degree.)arrow_forward
- A narrow beam of light is incident on the left side of the prism shown in the figure below. The prism is a right triangle, with two of its angles measuring 45°. A) The transmitted beam that exits the hypotenuse of the prism makes an angle of ? = 17.5° with the direction of the incident beam. What is the index of refraction of the prism? B) In part (a), we assumed the beam was monochromatic. Consider instead the case where the beam was composed of white light. Because the index of refraction differs for different wavelengths, the white light would be dispersed into constituent colors. Assume the index of refraction for blue wavelengths is 1.01n and for red wavelengths it is 0.99n, where n is the index of refraction found in part (a). What is the angular spread (in degrees) between red and blue light exiting the prism?arrow_forwardWhen the width of the slit is made double, how would this effect the size and intensity of the central diffraction band? Justify your answer with the help of diagram.arrow_forwardAn array of 100 slits per millimetre is illuminated with light made up of a mixture of 3 wavelengths: a shade of violet, a shade of green and a shade of red. On a screen 2 meters away, we see the figure shown in the diagram below. Determine as precisely as possible the wavelength of each color.arrow_forward
- If light with a wavelength of 480 nm is used in a two-slit experiment with a barrier with slits that are 0.05 mm apart that is 1.6 m from the projection screen. What is the distance from the center of the first and third dark fringes? Show your work.arrow_forwardTwo loudspeakers are placed above and below each other, as in the figure below, and driven by the same source at a frequency of 4.40 ✕ 102 Hz. An observer is in front of the speakers (to the right) at point O, at the same distance from each speaker. What minimum vertical distance upward should the top speaker be moved to create destructive interference at point O? (Let h = 2.58 m and use v = 343 m/s.)arrow_forwardYou just won a brand new laser pen and you want to know the wavelength of the light, so you set up Young’s double-slit experiment and observe the interference pattern on screen 1.2 meters away from the slits. The slits are 0.25 mm apart and you measure the distance between the centers of the first dark fringes on either side of the central maximum to be 3 mm. What is the wavelength of your new laser? If visible, what color should it appear, if not visible state the region of the EM spectrum? Hint: Draw a picture.arrow_forward
- In a Young's double-slit experiment, blue light (?λ = 440 m) gives a second-order bright fringe at a certain location on a flat screen. What wavelength of visible light would produce a dark fringe at the same location? Assume that the range of visible wavelengths extends from 380 to 750 nm. Calculate the wavelength that fulfills the problem description. Clearly show all steps, starting from generalized equations. Explain your mathematical work in words. Your explanation should cover both what you did, any approximations you make and the thought process behind why you did that. Evaluate your answer to determine whether it is reasonable or not. Consider all aspects of your answer (the numerical value, sign, and units) in your evaluation.arrow_forwardGiven the data below, calculate the distance between side orders, Δy_1 (cm) and distance between side orders, y_1 (cm) if m=1 and slit width (cm) is equal to: 0.02, 0.04, 0.08, 0.16. Explain/show how calculations were made.***If the information I have provided is incomplete, please reply with the additional information needed so I can fix it.arrow_forwardAs shown is the interference pattern seen on a viewing screen behind 2 slits. Suppose the 2 slits were replaced by 20 slits having the same spacing d between adjacent slits.a. Would the number of fringes on the screen increase, decrease, or stay the same?b. Would the fringe spacing increase, decrease, or stay the same?c. Would the width of each fringe increase, decrease, or stay the same?d. Would the brightness of each fringe increase, decrease, or stay the same?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 LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill