Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Chapter 28.6, Problem 6EYU
Suppose a diffraction grating has slits separated by 6 times the
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Consider a pair of slits seperated by 1.00 micrometers. What is the angle thetared to the intereference maximum with m=1 for red light with wavelength 700 nm? (B) consider the same pair of slits seperated by 1.00 micrometers. What is the angle thetablue to the interefeeence maximum with m=1 for blue light with a wavelength of 400 nm?
Chapter 28 Solutions
Physics (5th Edition)
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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- On a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1° relative to its surface, using an X-ray source of unknown wavelength. Additionally, when illuminated with a different, this time of known wavelength 0.137 nm, a second-order maximum is detected at 37.3°. Determine (a) the spacing between the reflecting planes, and (b) the unknown wavelength.arrow_forwardCheck Your Understanding Although m, the number of fringes observed, is an integer, which is often regarded as having zero uncertainty, in practical terms, it is all too easy to lose track when counting fringes. In Example 3.6, if you estimate that you might have missed as many as five fringes when you reported m=122 fringes, (a) is the value for the index of refraction worked out in Example 3.6 too large or too small? (b) By how much?arrow_forwardCheck Your Understanding Suppose the slit width in Example 4.1 is increased to 1.8106 m. What are the new angular positions for the first, second, and third minima? Would a fourth minimum exist?arrow_forward
- In a Michelson interferometer, light of wavelength 632.8 nm from a He-Ne laser is used. When one of the mirrors is moved by a distance D, 8 fringes move past the field of view. What is the value of the distance D?arrow_forwardShow that a diffraction grating cannot produce a second-order maximum for a given wavelength of light unless the first-order maximum is at an angle less than 30.0°.arrow_forwardA He-Ne laser beam is reflected from the surface of a CD onto a wall. The brightest spot is the reflected beam at an angle equal to the angle of incidence. However, fringes are also observed. If the wall is 1.50 m from the CD, and the first fringe is 0.600 m from the central maximum, what is the spacing of grooves on the CD?arrow_forward
- A first-order Bragg reflection maximum is observed when a monochromatic X-ray falls on a crystal at a 32.3° angle to a reflecting plane. What is the wavelength of this X-ray?arrow_forwardA monochromatic light of wavelength 589 nm incident on a double slit with slit width 2.5 m and unknown separation results in a diffraction pattern containing nine interference peaks inside the central maximum. Find the separation of the slits.arrow_forwardAs a single crystal is rotated in an x-ray spectrometer (Fig. 3.22a), many parallel planes of atoms besides AA and BB produce strong diffracted beams. Two such planes are shown in Figure P3.38. (a) Determine geometrically the interplanar spacings d1 and d2 in terms of d0. (b) Find the angles (with respect to the surface plane AA) of the n = 1, 2, and 3 intensity maxima from planes with spacing d1. Let = 0.626 and d0 = 4.00 . Note that a given crystal structure (for example, cubic) has interplanar spacings with characteristic ratios, which produce characteristic diffraction patterns. In this way, measurement of the angular position of diffracted x-rays may be used to infer the crystal structure. Figure P3.38 Atomic planes in a cubic lattice.arrow_forward
- If a microscope can accept light from objects at angles as large as =70 , what is the smallest structure that can be resolved when illuminated with light of wavelength 500 nm and (a) the specimen is in air? (b) When the specimen is immersed in oil, with index of refraction of 1.52?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_forwardSuppose you have a lens system that is to be used primarily for 700-nm red light. What is the second thinnest coating of fluorite (magnesium fluoride) that would be nonreflective for this wavelength?arrow_forward
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