Concept explainers
Two thin parallel slits that are 0.0116 mm apart are illuminated by a laser beam of wavelength 585 nm. (a) On a very large distant screen, what is the total number of bright fringes (those indicating complete constructive interference), including the central fringe and those on both sides of it? Solve this problem without calculating all the angles! (Hint: What is the largest that sin θ can be? What does this tell you is the largest value of m?) (b) At what angle, relative to the original direction of the beam, will the fringe that is most distant from the central bright fringe occur?
Want to see the full answer?
Check out a sample textbook solutionChapter 35 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
Additional Science Textbook Solutions
Applied Physics (11th Edition)
Sears And Zemansky's University Physics With Modern Physics
Essential University Physics: Volume 1 (3rd Edition)
Physics for Scientists and Engineers with Modern Physics
Cosmic Perspective Fundamentals
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
- What is the angular width of the central fringe of the interference pattern of (a) 20 slits separated by d=2.0103 mm? (b) 50 slits with the same separation? Assume that =600 nm.arrow_forward(a) Young's double-slit experiment is performed with 525-nm light and a distance of 2.00 m between the slits and the screen. The tenth interference minimum is observed 7.35 mm from the central maximum. Determine the spacing of the slits (in mm). 1.36 mm (b) What If? What are the smallest and largest wavelengths of visible light that will also produce interference minima at this location? (Give your answers, in nm, to at least three significant figures. Assume the visible light spectrum ranges from 400 nm to 700 nm.) smallest wavelength 434 largest wavelength ✔nm x nm 000 Need Help? Read Watch tarrow_forwardIn an interference experiment using a monochromatic source emitting light of wavelength 1, the fringes are produced by two long, narrow slits separated by a distanced. The fringes are formed on a screen which is situated at a distance D >> d.Write down an expression for the fringe width w. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate. Use "lambda" (without the quotes) for A in the equation box. For example, use d*lambda for d2. Please use the "Display response" button to check you entered the answer you expect. w=arrow_forward
- In an interference experiment using a monochromatic source emitting light of wavelength 1, the fringes are produced by two long, narrow slits separated by a distance d. The fringes are formed on a screen which is situated at a distance D >> d.Write down an expression for the fringe width w. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate. Use "lambda" (without the quotes) for 1 in the equation box. For example, use d*lambda for d2. Please use the "Display response" button to check you entered the answer you expect. w=arrow_forwardIn an interference experiment using a monochromatic source emitting light of wavelength 2, the fringes are produced by two long, narrow slits separated by a distance d. The fringes are formed on a screen which is situated at a distance D >> d.Write down an expression for the fringe width w. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate. Use "lambda" (without the quotes) for å in the equation box. For example, use d*lambda for d2. Please use the "Display response" button to check you entered the answer you expect. Display responsearrow_forward(a) Young's double-slit experiment is performed with 590-nm light and a distance of 2.00 m between the slits and the screen. The tenth interference minimum is observed 7.65 mm from the central maximum. Determine the spacing of the slits (in mm). mm (b) What If? What are the smallest and largest wavelengths of visible light that will also produce interference minima at this location? (Give your answers, in nm, to at least three significant figures. Assume the visible light spectrum ranges from 400 nm to 700 nm.) smallest wavelength largest wavelength Need Help? Read It Watch It nm nmarrow_forward
- (a) Young's double-slit experiment is performed with 550-nm light and a distance of 2.00 m between the slits and the screen. The tenth interference minimum is observed 8.00 mm from the central maximum. Determine the spacing of the slits (in mm). 1.31 mm (b) What If? What are the smallest and largest wavelengths of visible light that will also produce interference minima at this location? (Give your answers, in nm, to at least three significant figures. Assume the visible light spectrum ranges from 400 nm to 700 nm.) smallest wavelength 419 largest wavelength 699 X nm X nmarrow_forward(a) Young's double-slit experiment is performed with 550-nm light and a distance of 2.00 m between the slits and the screen. The tenth interference minimum is observed 8.00 mm from the central maximum. Determine the spacing of the slits (in mm). 1.31 mm (b) What If? What are the smallest and largest wavelengths of visible light that will also produce interference minima at this location? (Give your answers, in nm, to at least three significant figures. Assume the visible light spectrum ranges from 400 nm to 700 nm.) smallest wavelength 419 X nm largest wavelength 699 X nm (a) Young's double-slit experiment is performed with 550-nm light and a distance of 2.00 m between the slits and the screen. The tenth interference minimum is observed 8.00 mm from the central maximum. Determine the spacing of the slits (in mm). 1.31 mm (b) What If? What are the smallest and largest wavelengths of visible light that will also produce interference minima at this location? (Give your answers, in nm, to…arrow_forwardConsider the sodium doublet vapor lines, which have wavelengths of 589 nm (line a) and 589.6 nm (line b). (a) Find the angle (in degrees) between the first minima for the two sodium vapor lines, when they fall upon a single slit with a width of 1.8 μm. (b) What is the distance in mm between these minima if the diffraction pattern falls on a screen 1.05 m from the slit?arrow_forward
- An interference pattern is produced by light of wavelength 580 nm from a distant source incident on two identical parallel slits separated by a distance (between centers) of 0.530 mm. (a) If the slits are very narrow, what would be the angular positions of the first-order and second-order, two-slit interference maxima? (b) Let the slits have width 0.320 mm. In terms of the intensity I0 at the center of the central maximum, what is the intensity at each of the angular positions in part (a)?arrow_forwardMonochromatic light (wavelength = 455 nm) is incident perpendicularly on a single slit (width = 0.56 mm). A screen is placed parallel to the slit plane, and on it the distance between the two minima on either side of the central maximum is 2.1 mm. (a) What is the distance from the slit to the screen? (Hint: The angle to either minimum is small enough that sin ≈ tan 9.) (b) What is the distance on the screen between the first minimum and the third minimum on the same side of the central maximum? (a) Number 120 (b) Number i 1.8 Units Units cm mmarrow_forwardThe figure shows a double slit located a distance x = 3.05 m from a screen, with the distance from the center of the screen to a bright fringe given by y. When the distance d between the slits is large compared to the wavelength λ, there will be numerous such bright fringes. Part (a) Calculate the distance between adjacent fringes, in centimeters, for 633-nm light falling on double slits separated by 0.0785 mm. You may assume that θ is small.arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax