Concept explainers
24.7 Skills for applying the wave model of light
* Red light of wavelength 630 nm is incident on a pair of slits. The interference pattern is projected on a wall 6.0m from the slits. The fourth bright band is separated from the central maximum by 2.8 cm. (a) Draw a ray diagram to represent the situation; show the path length difference. (b) What can you learn about the slit pair using this information? (c) What can you learn about the pattern on the screen using this information?
Trending nowThis is a popular solution!
Learn your wayIncludes step-by-step video
Chapter 24 Solutions
College Physics
Additional Science Textbook Solutions
Conceptual Physical Science (6th Edition)
Conceptual Physics (12th Edition)
Modern Physics
Life in the Universe (4th Edition)
Essential University Physics (3rd Edition)
An Introduction to Thermal Physics
- Monochromatic light is beamed into a Michelson interferometer. The movable mirror is displaced 0.382 mm, causing the central spot in the interferometer pattern to change from bright to dark and back to bright N = 1 700 times. (a) Determine the wavelength of the light. What color is it? (b) If monochromatic red light is used instead and the mirror is moved the same distance, would N be larger or smaller? Explain.arrow_forwardMonochromatic light is beamed into a Michelson interferometer. The movable mirror is displaced 0.382 mm, causing the central spot in the interferometer pattern to change from bright to dark and back to bright N = 1 700 times. (a) Determine the wavelength of the light. What color is it? (b) If monochromatic red light is used instead and the mirror is moved the same distance, would N be larger or smaller? Explain.arrow_forwardA student sets up a double-slit experiment using mono chromatic light of wavelength . The distance between the slits is equal to 25 . (a) Find the angles at which the m = 1, 2, and 3 maxima occur on the viewing screen. (b) At what angles do the first three dark fringes occur? (c) Why are the answers so evenly spaced? Is the spacing even for all orders? Explain.arrow_forward
- 7. Anti-reflective coatings on lenses use thin-film interference to eliminate the reflection of a particular color. Suppose a glass lens (ng = 1.5) is covered with a thin film (nf = 1.38) to prevent green light (λ = 531 nm) from being reflected. Part (a) Write an expression for the minimum thickness the film can have, t. Part (b) Calculate the minimum thickness, t, in nanometers?arrow_forward4. In a diffraction pattern produced by a diffraction grating, red light (λ = 700 nm) in the second order spectrum is deviated by 20° from the central bright fringe. (a) How many lines per centimeter does the grating have? (b) If white light will be used, how many full visible spectra can be seen?arrow_forward1. How does the diffraction pattern of a wave change when you:a) Change the slit widthb) Change the slit separationc) Change the wavelengthd) Change the distance between the openings and the patterne) Would the behaviours of waves and light be the same for each of the above? If so, what conclusions can you draw about light behaviour?arrow_forward
- hi, I am having some trouble with this physics homework. (a)Two narrow slits, s1 and s2 separated by 0.1 mm are illuminated by the light of wavelength 600 nm. Determine the path difference of light waves from s1 and s2 at 5 the dark spot above the central maximum. (b)a soap bubble of refractive index 1.3 and thickness 400 nm is illuminated by white light (wavelength range 400-700 nm). Determine wavelengths of reflected light that undergo constructive interference.arrow_forwardA chamber 5.0 cm long with flat, parallel windows at the ends is placed in one arm of a Michelson interferometer (see below). The light used has a wavelength of 500 nm in a vacuum. While all the air is being pumped out of the chamber, 29 fringes pass by a point on the observation screen. What is the refractive index of the air?arrow_forward(a) Find the angle of the third diffraction minimum for 633-nm light falling on a slit of width 20.0 m. (b) What slit width would place this minimum at 85.0°? Explicitly show how you follow the steps in Problem-Solving Strategies for Wave Opticsarrow_forward
- Slit 1 of a double-slit is wider than slit 2 so that the light from slit 1 has an amplitude exactly 3 times that of the light from slit 2. Show that Equation 36.9 is replaced by the following equation for this situation: I=Imax[1+3cos2(dsin)] Begin by assuming that the total magnitude of the electric field at point P on the screen in Figure 36.4 is the superposition of two waves, with electric field magnitudes E1=3E0sintE2=E0sin(t+) The phase angle in E2 is due to the extra path length traveled by the lower beam in Figure 36.4. You will need to evaluate the integral of the square of the sine function over one period. Refer to Figure 32.5 for an easy way to perform this evaluation. You might find the following trigonometric identities helpful: sinA+sinB=2sin(A+B2)cos(AB2)sin(A+B)=sinAcosB+cosAsinBcosA=2cos2(A2)1arrow_forward(a) If a single slit produces a first minimum at 14.5°, at what angle is the second-order minimum? (b) What is the angle of the third-order minimum? (c) Is there a fourth-order minimum? (d) Use your answers to illustrate how the angular width of the central maximum is about twice the angular width of the next maximum (which is the angle between the first and second minima).arrow_forwardMonochromatic light of wavelength is incident on a pair of slits separated by 2.40 104m. and forms an interference pattern on a screen placed 1.80 m away from the slits. The first-order bright fringe is 4.52 mm from the center of the central maximum. (a) Draw a picture, labeling the angle and the legs of the right triangle associated with the first-order bright fringe. (b) Compute the tangent of the angle associated with the first-order bright fringe. (c) Find the angle corresponding to the first-order bright fringe and compute the sine of that angle. Are the sine and tangent of the angle comparable in value? Does your answer always hold true? (d) Calculate the wavelength of the light. (e) Compute the angle of the fifth-order bright fringe. (f) Find its position on the screen.arrow_forward
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College