Six slits in a diffraction grating. A set of waves is spreading out from each of the slits. Six specific wave paths to a distant screen are shown, leavin he slits at angle 0₁. (The screen is so far away that the paths appear parallel on this scale but eventually converge.) The dotted lines are drawn perpendicular to the paths of the waves. The wavelength of the light is λ = 658 nm. 1. How much farther does wave #1 travel compared to wave #2? 2. How much farther does wave #2 travel compared to wave #3? nm A. destructively. B. constructively. C. between constructively and destructively. nm 3. When these six waves combine some distance away from the grating, they will interfere

Six slits in a diffraction grating. A set of waves is spreading out from each of the slits. Six specific wave paths to a distant screen are shown, leavin he slits at angle 0₁. (The screen is so far away that the paths appear parallel on this scale but eventually converge.) The dotted lines are drawn perpendicular to the paths of the waves. The wavelength of the light is λ = 658 nm. 1. How much farther does wave #1 travel compared to wave #2? 2. How much farther does wave #2 travel compared to wave #3? nm A. destructively. B. constructively. C. between constructively and destructively. nm 3. When these six waves combine some distance away from the grating, they will interfere

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 97AP: A diffraction grating with 2000 lines per centimeter is used to measure the wavelengths emitted by a...

See similar textbooks

Similar questions

Ten narrow slits are equally spaced 0.25 mm apart and illuminated with yellow light of wavelength 580 nm. (a) What are the angular positions of the third and fourth principal maxima? (b) What is the separation of these maxima on a screen 2.0 m from the slits?
A hydrogen gas discharge lamp emits visible light at four wavelengths, =410 , 434, 486, and 656 nm. (a) If light from this lamp falls on a N slits separated by 0.025 mm, how far from the central maximum are the third maxima when viewed on a screen 2.0 m from the slits? (b) By what distance are the second and third maxima separated for l=486 nm?
Microwaves of wavelength 10.0 mm fall normally on a metal plate that contains a slit 25 mm wide. (a) Where are the first minima of the diffraction pattern? (b) Would there be minima if the wavelength were 30.0 mm?
Two slits of width 2 m, each in an opaque material, are separated by a center-to-center distance of 6 m. A monochromatic light of wavelength 450 nm is incident on the double-slit. One finds a combined interference and diffraction pattern on the screen. (a) How many peaks of the interference will be observed in the central maximum of the diffraction pattern? (b) How many peaks of the interference will be observed if the slit width is doubled while keeping the distance between the slits same? (c) How many peaks of interference will be observed if the slits are separated by twice the distance, that is, 12 m, while keeping the widths of the slits same? (d) What will happen in (a) if instead of 450-nm light another light of wavelength 680 nm is used? (e) What is the value of the ratio of the intensity of the central peak to the intensity of the next bright peak in (a)? (f) Does this ratio depend on the wavelength of the light? (g) Does this ratio depend on the width or separation of the slits?
An intensity minimum is found for 450 nm light transmitted through a transparent film (n=1.20) in air. (a) What is minimum thickness of the film? (b) If this wavelength is the longest for which the intensity minimum occurs, what are the next three lower values of ? for which this happens?
A diffraction grating with 2000 lines per centimeter is used to measure the wavelengths emitted by a hydrogen gas discharge tube. (a) At what angles will you find the maxima of the two first-order blue lines of wavelengths 410 and 434 nm? (b) The maxima of two other first-order lines are found at 1=0.097 rad and 2=0.132 rad . What are the wavelengths of these lines?
(a) Sodium vapor light averaging 589 nm in wavelength falls on a single slit of width 7.50 m. At what angle does it produces its second minimum? (b) What is the highest-order minimum produced?
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.
A. Find the angle (in degrees) of the second diffraction minimum for 750 nm light falling on a slit of width 28.0 µm. B.What slit width (in µm) would place this minimum at 80.0°?
In experiments with his interferometer, Michelson found that the red cadmium line at λ=643.8nm produced fringes until one of the arms of the interferometer was moved 25cm from initially being at the coincidence or equal path length position. a. How many fringes moved through the field of view? b. What is the approximate coherence time of the light?
A physician wants to shine a therapeutic Nd YAG laser through a small slit onto a patient who is 37 cm behind the slit. What maximum size slit could she use so that there would be no intensity minima in the light that falls on the patient? The infrared wavelength of the YAG laser is 1064 nm. PLEASE PLEASE draw the diagram/situation and define variables THank you!!
The signature of an unknown element has a unique green color (550nm) in its emission spectra. You grabbed 4 sets of diffraction grating that would let you see this color. As you shine a light towards the element and into the diffraction grating, the color you expected appears at an angle of 20°. If the color is from a second-order spectra, which one did you use? a. 620 slits/mm grating b. 311 slits/mm grating c. 207 slits/mm grating d. 155 slits/mm grating