College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 24, Problem 3P
Light at 633 nm from a helium-neon laser shines on a pair of parallel slits separated by 1.45 × 10−5 m and an interference pattern is observed on a screen 2.00 m from the plane of the slits. (a) Find the angle from the central maximum to the First bright fringe. (b) At what angle from the central maximum does the second dark fringe appear? (c) Find the distance from the central maximum to the first bright fringe.
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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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- For 600-nm wavelength light and a slit separation of 0.12 mm, what are the angular positions of the first and third maxima in the double slit interference pattern?arrow_forwardWhy is it much more difficult to see interference fringes for light reflected from a thick piece of glass than from a thin film? Would it be easier if monochromatic light were used?arrow_forwardBoth sides of a uniform film that has index of refraction n and thickness d are in contact with air. For normal incidence of light, an intensity minimum is observed in the reflected light at λ2 and an intensity maximum is observed at λ1, where λ1 > λ2. (a) Assuming no intensity minima are observed between λ1 and λ2, find an expression for the integer m in Equations 27.13 and 27.14 in terms of the wavelengths λ1 and λ2. (b) Assuming n = 1.40, λ1 = 500 nm, and λ2 = 370 nm, determine the best estimate for the thickness of the film.arrow_forward
- An effect analogous to two-slit interference can occur with sound waves, instead of light. In an open field, two speakers placed 1.30 m apart are powered by a single-function generator producing sine waves at 1200-Hz frequency. A student walks along a line 12.5 m away and parallel to the line between the speakers. She hears an alternating pattern of loud and quiet, due to constructive and destructive interference. What is (a) the wavelength of this sound and (b) the distance between the central maximum and the first maximum (loud) position along this line?arrow_forwardA beam of monochromatic green light is diffracted by a slit of width 0.550 mm. The diffraction pattern forms on a wall 2.06 m beyond the slit. The distance between the positions of zero intensity on both sides of the central bright fringe is 4.10 mm. Calculate the wavelength of the light.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
- When a monochromatic light of wavelength 430 nm incident on a double slit of slit separation 5 m, there are 11 interference fringes in its central maximum. How many interference fringes will be in the central maximum of a light of wavelength 632.8 nm for the same double slit?arrow_forwardA monochromatic light of unknown wavelength is incident on a slit of width 20 m. A diffraction pattern is seen at a screen 2.5 m away where the central maximum is spread over a distance of 10.0 cm. Find the wavelength.arrow_forwardA single slit of width 2100 nm is illuminated normally by a wave of wavelength 632.8 nm. Find the phase difference between waves from the top and one third from the bottom of the slit to a point on a screen at a horizontal distance of 2.0 m and vertical distance of 10.0 cm from the center.arrow_forward
- Monochromatic light is incident on a pair of slits that are separated by 0.200 mm. The screen is 2.50 m away from the slits. a. If the distance between the central bright fringe and either of the adjacent bright fringes is 1.67 cm, find the wavelength of the incident light. b. At what angle does the next set of bright fringes appear?arrow_forwardA 5.08-cm-long rectangular glass chamber is inserted into one arm of a Michelson interferometer using a 633-nm light source. This chamber is initially filled with air (n=1.000293) at standard atmospheric pressure but the air is gradually pumped out using a vacuum pump until a near perfect vacuum is achieved. How many fringes are observed moving by during the transition?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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