25. A single-slit diffraction pattern is produced when red light illuminates a narrow slit, as in Figure I below. Asecond identical slit is then placed between the source and the first slit, as shown in Figure II.SourceSourceSlit 1Slit 2Slit 1ScreenScreen.Figure IFigure IIWhich of the following changes would occur in the pattern observed?a There would be twice as many maxima.b The maxima are dimmer.c The minima are farther apart.d Every second maximum is eliminated.e The pattern becomes a single bright line.

The spreading out of waves when they pass through an aperture or around objects is referred to as…

Answered: 25. A single-slit diffraction pattern…

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...

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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?
Blue light of wavelength 450 nm falls on a slit of width 0.25 mm. A converging lens of focal length 20 cm is placed behind the slit and focuses the diffraction pattern on a screen. (a) How far is the screen from the lens? (b) What is the distance between the first and the third minima of the diffraction pattern?
What is the minimum width of a single slit (in multiples of ) that will produce a first minimum for a wavelength ? (b) What is its minimum width if it produces 50 minima? (c) 1000 minima?
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?
Monochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 m in an opaque plate. A screen of dimensions 2.0m2.0m is 1.2 m away from the slit. (a) Which way is the diffraction pattern spread out on the screen? (b) What are the angles of the minima with respect to the center? (c) What are the angles of the maxima? (d) How wide is the central bright fringe on the screen? (e) How wide is the next bright fringe on the screen?
An experimenter detects 251 fringes when the movable mirror in a Michelson interferometer is displaced. The light source used is a sodium lamp, wavelength 589 nm. By what distance did the movable mirror move?
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?
Young’s double-slit experiment is performed immersed in water (n=1.333) . The light source is a He-Ne laser, =632.9 nm in vacuum. (a) What is the wavelength of this light in water? (b) What is the angle for the third order maximum for two slits separated by 0.100 mm.
(a) How wide is a single slit that produces its first minimum for 633-nm light at an angle of 28.0°? (b) At what angle will the second minimum be?
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°?
4. Source S is placed inside a glass water tank, as shown below. The surface of the water is covered with oil. Two monochromatic coherent light rays 1 and 2, go through the path as shown in the figure. If the wavelength of light in water is A indices of refraction of oil, water, and glass are noil 1.2, nwater 1.33, nglass and a dark fringe appears at point P, what is x? (Just write the equation, from which we can find x. No need to find it numerically) = 400 nm and 1.5 15 cm S 20 cm 1 2 oil glass X=? = water - 15 cm P 20 cm
What is the condition of a construction interference (bright fringe) in two slit experiment? A. The path difference between two waves from both the slits should be an integral multiple of wavelength (i.e., 0, ±4, ±24, ±3A..). B. The path difference between two waves from both the slits should be half-odd integral multiple of wavelength (e.g., ±N2, ± 3/2, + 5N2..). C. There should be no path difference at all for constructive interference to form. D. The slit separation should be very small.

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