College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 24, Problem 73AP
A diffraction pattern is produced on a screen 1.40 m from a single slit, using monochromatic light of wavelength 5.00 × 102 nm. The distance from the center of the central maximum to the first-order maximum is 3.00 mm. Calculate the slit width. Hint: Assume that the first-order maximum is halfway between the first- and second-order minima.
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Monochromatic light from a laser is incident on a slit 0.38 mm wide. On a screen 2.33 m away from the slit, the distance between the first minima on either side of the central maximum is 2.62 mm. Determine the wavelength of light emitted by the laser. Answer in units nm.
A diffraction pattern is produced on a screen 1.40 m from a single slit, using monochromatic light of wavelength 5.00 x 102 nm. The distance from the center of the central maximum to the first - order maximum is 3.00 mm. Calculate the slit width. Hint: Assume that the first - order maximum is halfway between the first - and second - order minima.
Problem 2:
The width of a rectangular slit is measured in the laboratory
by means of its diffraction pattern at a distance of 2 m from
the slit. When illuminated normally with a parallel beam of
laser light (632.8 nm), the distance between the third mini-
ma on either side of the principal maximum is measured.
An average of several tries gives 5.625 cm.
a. Assuming Fraunhofer diffraction, what is the slit width?
b. Is the assumption of far-field diffraction justified in this
case? What is the ratio L/Lmin?
Chapter 24 Solutions
College Physics
Ch. 24.2 - In a two-slit interference pattern projected on a...Ch. 24.2 - if the distance between the slits is doubled in...Ch. 24.2 - A Youngs double-slit experiment is performed with...Ch. 24.4 - Suppose Youngs experiment is carried out in air,...Ch. 24.7 - In a single-alit diffraction experiment, as the...Ch. 24.8 - If laser light is reflected from a phonograph...Ch. 24 - Your automobile has two headlights. What sort of...Ch. 24 - A plane monochromatic light wave is incident on a...Ch. 24 - A plane monochromatic light wave is incident on a...Ch. 24 - If a Youngs experiment carried out in air is...
Ch. 24 - Sodiums emission lines at 589.0 nm and 589.6 nm...Ch. 24 - Count the number of 180 phase reversals for the...Ch. 24 - Figure CQ24.7 shows rays with wavelength incident...Ch. 24 - Fingerprints left on a piece of glass such as a...Ch. 24 - In everyday experience, why are radio waves...Ch. 24 - Suppose reflected while light is used to observe a...Ch. 24 - Would it be possible to place a nonreflective...Ch. 24 - Certain sunglasses use a polarizing material to...Ch. 24 - Why is it so much easier to perform interference...Ch. 24 - A soap film is held vertically in air and is...Ch. 24 - Consider a dark fringe in an interference pattern...Ch. 24 - Holding your hand at arms length, you can readily...Ch. 24 - A laser beam is incident on two slits with a...Ch. 24 - In a Youngs double-slit experiment, a set of...Ch. 24 - Light at 633 nm from a helium-neon laser shines on...Ch. 24 - Light of wavelength 620. nm falls on a double...Ch. 24 - In a location where the speed of sound is 354 m/s....Ch. 24 - A double slit separated by 0.058 0 mm is placed...Ch. 24 - Two radio antennas separated by d = 3.00 102 cm....Ch. 24 - Prob. 8PCh. 24 - Monochromatic light falls on a screen 1.75 m from...Ch. 24 - A pair of parallel slits separated by 2.00 104 m...Ch. 24 - A riverside warehouse has two open doors, as in...Ch. 24 - A student sets up a double-slit experiment using...Ch. 24 - Radio waves from a star, of wavelength 2.50 102...Ch. 24 - Monochromatic light of wavelength is incident on...Ch. 24 - Waves from a radio station have a wavelength of...Ch. 24 - A soap bubble (n = 1.33) having a wall thickness...Ch. 24 - A thin layer of liquid methylene iodide (n =...Ch. 24 - A thin film of oil (n = 1.25) is located on...Ch. 24 - A thin film of glass (n = 1.52) of thickness 0.420...Ch. 24 - A transparent oil with index of refraction 1.29...Ch. 24 - A possible means for making an airplane invisible...Ch. 24 - An oil film (n = 1.45) floating on water is...Ch. 24 - Astronomers observe the chromosphere of the Sun...Ch. 24 - A spacer is cut from a playing card of thickness...Ch. 24 - An investigator finds at a fiber at a crime scene...Ch. 24 - A plano-convex lens with radius of curvature R =...Ch. 24 - A thin film of oil (n = 1.45) of thickness 425 nm...Ch. 24 - Prob. 28PCh. 24 - A thin film of glycerin (n = 1.173) of thickness...Ch. 24 - Prob. 30PCh. 24 - Light of wavelength 5.40 102 nm passes through a...Ch. 24 - A student and his lab partner create a single slit...Ch. 24 - Light of wavelength 587.5 nm illuminates a slit of...Ch. 24 - Microwaves of wavelength 5.00 cm enter a long,...Ch. 24 - A beam of monochromatic light is diffracted by a...Ch. 24 - A screen is placed 50.0 cm from a single slit that...Ch. 24 - A slit of width 0.50 mm is illuminated with light...Ch. 24 - The second-order dark fringe in a single-slit...Ch. 24 - Three discrete spectral lines occur at angles of...Ch. 24 - Intense white light is incident on a diffraction...Ch. 24 - The hydrogen spectrum has a red line at 656 nm and...Ch. 24 - Prob. 42PCh. 24 - A helium-neon laser ( = 632.8 nm) is used to...Ch. 24 - Prob. 44PCh. 24 - Prob. 45PCh. 24 - White light is incident on a diffraction grating...Ch. 24 - Sunlight is incident on a diffraction grating that...Ch. 24 - Monochromatic light at 577 nm illuminates a...Ch. 24 - Light of wavelength 5.00 102 nm is incident...Ch. 24 - Prob. 50PCh. 24 - The angle of incidence of a light beam in air onto...Ch. 24 - Unpolarized light passes through two Polaroid...Ch. 24 - The index of retraction of a glass plate is 1.52....Ch. 24 - At what angle above the horizon is the Sun if...Ch. 24 - Prob. 55PCh. 24 - The critical angle for total internal reflection...Ch. 24 - Equation 24.14 assumes the incident light is in...Ch. 24 - Prob. 58PCh. 24 - Three polarizing plates whose planes are parallel...Ch. 24 - Light of intensity I0 is polarized vertically and...Ch. 24 - Light with a wavelength in vacuum of 546.1 nm...Ch. 24 - Light from a helium-neon laser ( = 632.8 nm) is...Ch. 24 - Laser light with a wavelength of 632.6 nm is...Ch. 24 - In a Youngs interference experiment, the two slits...Ch. 24 - Light of wavelength 546 nm (the intense green line...Ch. 24 - The two speakers are placed 35.0 cm apart. A...Ch. 24 - Interference effects are produced at point P on a...Ch. 24 - Prob. 68APCh. 24 - Figure P24.69 shows a radio-wave transmitter and a...Ch. 24 - Three polarizers, centered on a common axis and...Ch. 24 - Prob. 71APCh. 24 - A plano-convex lens (flat on one side, convex on...Ch. 24 - A diffraction pattern is produced on a screen 1.40...Ch. 24 - Prob. 74AP
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- 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?arrow_forwardIn Figure P27.7 (not to scale), let L = 1.20 m and d = 0.120 mm and assume the slit system is illuminated with monochromatic 500-nm light. Calculate the phase difference between the two wave fronts arriving at P when (a) = 0.500 and (b) y = 5.00 mm. (c) What is the value of for which the phase difference is 0.333 rad? (d) What is the value of for which the path difference is /4?arrow_forwardA Fraunhofer diffraction pattern is produced on a screen located 1.00 m from a single slit. If a light source of wavelength 5.00 107 m is used and the distance from the center of the central bright fringe to the first dark fringe is 5.00 103 m, what is the slit width? (a) 0.010 0 mm (b) 0.100 mm (c) 0.200 mm (d) 1.00 mm (e) 0.005 00 mmarrow_forward
- 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?arrow_forwardConsider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a slit of width 0.25 mm. How far from the center of the pattern are the centers of the first and second dark fringes?arrow_forwardA 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?arrow_forward
- 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) 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°?arrow_forwardIf the separation between the first and the second minima of a single-slit diffraction pattern is 6.0 mm, what is the distance between the screen and the slit? The light wavelength is 500 nm and the slit width is 0.16 mm.arrow_forward
- (a) Find the angle between the first minima for the two sodium vapor lines, which have wavelengths of 589.1 and 589.6 nm, when they fall upon a single slit of width 2.00 m. (b) What is the distance between these minima if the diffraction pattern falls on a screen 1.00 m from the slit? (c) Discuss the ease or difficulty of measuring such a distance.arrow_forward(a) Find the angle between the first minima for the two sodium vapor lines, which have wavelengths of 589.1 and 589.6 nm, when they fall upon a single slit of width 2.00 m. (b) What is the distance between these minima if the diffraction pattern falls on a screen 1.00 m from the slit? (c) Discuss the ease or difficulty of measuring such a distance.arrow_forwardShow that the distribution of intensity in a double-slit pattern is given by Equation 36.9. 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=E0sintE2=E0sin(t+) The phase angle in in E2 is due to the extra path length traveled by the lower beam in Figure 36.4. Recall from Equation 33.27 that the intensity of light is proportional to the square of the amplitude of the electric field. In addition, the apparent intensity of the pattern is the time-averaged intensity of the electromagnetic wave. 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 will also need the trigonometric identity sinA+sinB=2sin(A+B2)cos(AB2)arrow_forward
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