EBK PHYSICS
5th Edition
ISBN: 9780134051796
Author: Walker
Publisher: YUZU
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Chapter 28, Problem 40PCE
A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if (a) the wavelength is doubled, (b) the slit width is doubled, or (c) the distance from the slit to the screen is doubled?
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In a single-slit diffraction experiment, there is a minimum of intensity for orange light (l= 600 nm) and a minimum of intensity for blue-green light (l = 500 nm) at the same angle of 1.00 mrad. For what minimum slit width is this possible?
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The ratio of the intensities is given by
= (sin(a)) ²
Ip
Io
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cos (B)².
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A diffraction pattern is formed by a single slit such that θ=40°, for m = 1. If this pattern is formed by a light whose wavelength is 440 nm, how wide is the opening of the slit?
Chapter 28 Solutions
EBK PHYSICS
Ch. 28.1 - Two beams of light that have the same phase are...Ch. 28.2 - If the wavelength in a two-slit experiment is...Ch. 28.3 - For each of the cases shown in Figure 28-22, state...Ch. 28.4 - If the wavelength of light passing through a...Ch. 28.5 - If you view the world with blue light, is your...Ch. 28.6 - Suppose a diffraction grating has slits separated...Ch. 28 - Prob. 1CQCh. 28 - What happens to the two-slit interference pattern...Ch. 28 - If a radio station broadcasts its signal through...Ch. 28 - How would you expect the interference pattern of a...
Ch. 28 - Describe the changes that would be observed in the...Ch. 28 - Two identical sheets of glass are coated with...Ch. 28 - A cats eye has a pupil that is elongated in the...Ch. 28 - Prob. 8CQCh. 28 - Prob. 9CQCh. 28 - Two sources emit waves that are coherent, in...Ch. 28 - In an experiment to demonstrate interference, you...Ch. 28 - A theme park creates a new kind of water wave pool...Ch. 28 - Two sources emit waves that are in phase with each...Ch. 28 - A person driving at 17 m/s crosses the line...Ch. 28 - Two students in a dorm room listen to a pure tone...Ch. 28 - If the loudspeakers in Problem 6 are 180 out of...Ch. 28 - A microphone is located on the line connecting two...Ch. 28 - A microphone is located on the line connecting two...Ch. 28 - Predict/Calculate Radio waves of frequency 1.427...Ch. 28 - Moe, Larry, and Curly stand in a line with a...Ch. 28 - Predict/Calculate In Figure 28-43 the two speakers...Ch. 28 - Consider a two-slit interference pattern, with...Ch. 28 - (a) Does the path-length difference l increase or...Ch. 28 - Predict/Explain A two-slit experiment with red...Ch. 28 - Laser light with a wavelength = 690 nm...Ch. 28 - Monochromatic light passes through two slits...Ch. 28 - In Youngs two-slit experiment, the first dark...Ch. 28 - Predic/Calculate A two-slit experiment with slits...Ch. 28 - A two-slit pattern is viewed on a screen 1.00 m...Ch. 28 - Light from a He-Ne laser ( = 632.8 nm) strikes a...Ch. 28 - For a science fair demonstration you would like to...Ch. 28 - Light with a wavelength of 576 nm passes through...Ch. 28 - Predict/Calculate Suppose the inference pattern...Ch. 28 - A physics instructor wants to produce a...Ch. 28 - Predict/Calculate When green light ( = 505 nm)...Ch. 28 - Predict/Calculate The interference pattern shown...Ch. 28 - Figure 28-46 shows four different cases where...Ch. 28 - The oil film floating on water in the accompanying...Ch. 28 - A soap bubble with walls 418 nm thick floats in...Ch. 28 - A soap film (n = 1.33) is 825 nm thick. White...Ch. 28 - White light is incident on a soap film (n = 1.30)...Ch. 28 - A 742-nm-thick soap film (nfilm = 1.33) rests on a...Ch. 28 - An oil film (n = 1.46) floats on a water puddle....Ch. 28 - A radio broadcast antenna is 36.00 km from your...Ch. 28 - Predict/Calculate Newton s Rings Monochromatic...Ch. 28 - Light is incident from above on two plates of...Ch. 28 - Submarine Saver A naval engineer is testing an...Ch. 28 - Predict/Calculate A thin layer of magnesium...Ch. 28 - A single-slit diffraction pattern is formed on a...Ch. 28 - White light is incident normally on a thin soap...Ch. 28 - Two glass plates are separated by fine wires with...Ch. 28 - A single-slit diffraction pattern is formed on a...Ch. 28 - What width single slit will produce first-order...Ch. 28 - Diffraction also occurs with sound waves Consider...Ch. 28 - Green light ( = 546 nm) strikes a single slit at...Ch. 28 - Light with a wavelength of 696 nm passes through a...Ch. 28 - Predict/Calculate A single slit is illuminated...Ch. 28 - How many dark fringes will be produced on either...Ch. 28 - Predict/Calculate The diffraction pattern shown in...Ch. 28 - A screen is placed 1.50 m behind a single slit....Ch. 28 - Predict/Explain (a) In principle, do your eyes...Ch. 28 - Two point sources of light are separated by 5.5...Ch. 28 - A spy camera is said to be able to read the...Ch. 28 - Splitting Binary Stars As seen from Earth, the red...Ch. 28 - Very Large Telescope Interferometer A series of...Ch. 28 - Find the minimum aperture diameter of a camera...Ch. 28 - The Resolution of Hubble The Hubble Space...Ch. 28 - A lens that is optically perfect is still limited...Ch. 28 - Early cameras were little more than a box with a...Ch. 28 - A grating has 797 lines per centimeter Find the...Ch. 28 - Prob. 62PCECh. 28 - A diffraction groting has 2500 lines/cm What is...Ch. 28 - The yellow light from a helium discharge tube has...Ch. 28 - A diffraction grating with 365 lines/mm is 1 25 m...Ch. 28 - Protein Structure X-rays with a wavelenglh of 0...Ch. 28 - White light strikes a grating with 7600...Ch. 28 - White light strikes a diffraction grating...Ch. 28 - CD Reflection The rows of bumps on a CD form lines...Ch. 28 - A light source emits two district wavelengths [1 =...Ch. 28 - A laser emits two wavelengths ( = 420 nm; 2 = 630...Ch. 28 - Predict/Calculate When blue light with a...Ch. 28 - Monochromatic light strikes a diffracton grating...Ch. 28 - A diffraction grating with a slit separation d is...Ch. 28 - CE Predict/Explain (a) If a thin liquid film...Ch. 28 - CE If the index of refraction of an eye could be...Ch. 28 - When reading the printout from a laser printer,...Ch. 28 - The headlights of a pickup truck are 1 36 m apart...Ch. 28 - Antireflection Coating A glass lens (nglass = 1...Ch. 28 - A thin film of oil (n = 1.30) floats on water (n =...Ch. 28 - The yellow light of sodium, with wavelengths of...Ch. 28 - Predict/Calculate A thin soap film (n = 1.33)...Ch. 28 - Predict/Calculate A thin film of oil (n = 1.40)...Ch. 28 - PredictfCalculate Sodium light, with a wavelength...Ch. 28 - BIO The Largest Eye The colossal squid...Ch. 28 - Product/Calculate Figure 28-49 shows a single-slit...Ch. 28 - BIO Entoptic Halos Images produced by structures...Ch. 28 - White light is incident on a soap film (n = 1.33,...Ch. 28 - Predict/Calculate A system like that shown in...Ch. 28 - A curved piece of glass with a radius of curvature...Ch. 28 - BIO The Resolution of the Eye The resolution of...Ch. 28 - Resolving Lines on an HDTV The American Television...Ch. 28 - Resolving Lines on an HDTV The American Television...Ch. 28 - Resolving Lines on an HDTV The American Television...Ch. 28 - Resolving Lines on an HDTV The American Television...Ch. 28 - Predict/Calculate Referring to Example 28-3...Ch. 28 - Predict/Calculate Referring to Example 28-3 The...Ch. 28 - Predict/Calculate Referring to Example 28-11 The...Ch. 28 - Predictf/Calculate Referring to Example 28-11 The...
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- Both 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_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 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_forward
- In 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_forwardTable P35.80 presents data gathered by students performing a double-slit experiment. The distance between the slits is 0.0700 mm, and the distance to the screen is 2.50 m. The intensity of the central maximum is 6.50 106 W/m2. What is the intensity at y = 0.500 cm? TABLE P35.80arrow_forwardCoherent light rays of wavelength strike a pair of slits separated by distance d at an angle 1, with respect to the normal to the plane containing the slits as shown in Figure P27.14. The rays leaving the slits make an angle 2 with respect to the normal, and an interference maximum is formed by those rays on a screen that is a great distance from the slits. Show that the angle 2 is given by 2=sin1(sin1md) where m is an integer.arrow_forward
- Consider a wave passing through a single slit. What happens to the width of the central maximum of its diffraction pattern as the slit is made half as wide? (a) It becomes one-fourth as wide. (b) It becomes one-half as wide. (c) Its width does not change. (d) It becomes twice as wide. (e) It becomes four times as wide.arrow_forwardIn Figure P36.10 (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? Figure P36.10arrow_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
- 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_forwardMonochromatic 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_forwardUsing the result of the problem two problems prior, find the wavelength of light that produces fringes 7.50 mm apart on a screen 2.00 m from double slits separated by 0.120 mm.arrow_forward
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