College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 25, Problem 51P
To determine
Can two lines of wavelengths
600.000 nm 600.003 nm
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A 15.0-cm-long grating has 6.00 x 103 slits per centimeter. Can two lines of wavelengths 600.000 nm and 600.003 nm be separated with this grating? Explain.
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. A Michelson interferometer is used to determine the D spectral line in sodium. If the movable mirror moves a distance of of 0.2650mm, when 900 fringes are counted, find the wavelength of the D line.
Chapter 25 Solutions
College Physics
Ch. 25.2 - Two campers wish to start a fire during the day....Ch. 25.6 - Suppose you are observing a binary star with a...Ch. 25 - A lens is used to examine an object across a room....Ch. 25 - A CCD camera is equipped with a lens with constant...Ch. 25 - The optic nerve and the brain invert the image...Ch. 25 - Suppose you are observing the interference pattern...Ch. 25 - If you want to examine the fine detail of an...Ch. 25 - Compare and contrast the eye and a camera. What...Ch. 25 - Choose the option from each pair that makes the...Ch. 25 - Choose the option from each pair that makes the...
Ch. 25 - Explain why it is theoretically impossible to see...Ch. 25 - Large telescopes are usually reflecting rather...Ch. 25 - A patient has a near point of 1.25 m. Is she...Ch. 25 - A lens with a certain power is used as a simple...Ch. 25 - Suppose a microscopes resolution is diffraction...Ch. 25 - During LASIK eye surgery (laser-assisted in situ...Ch. 25 - If you increase the aperture diameter of a camera...Ch. 25 - A lens has a focal length of 28 cm and a diameter...Ch. 25 - A certain camera has f-numbers that range from 1.2...Ch. 25 - An f/2.80 CCD camera has a 105-mm focal length...Ch. 25 - A digital camera equipped with an f = 50.0-mm lens...Ch. 25 - A camera is being used with a correct exposure at...Ch. 25 - (a) Use conceptual arguments to show that the...Ch. 25 - A certain type of film requires an exposure time...Ch. 25 - A certain camera lens has a focal length of 175...Ch. 25 - The near point of a persons eye is 60.0 cm. To see...Ch. 25 - A patient cant see objects closer than 40.0 cm and...Ch. 25 - The accommodation limits for Nearsighted Nicks...Ch. 25 - Prob. 12PCh. 25 - An individual is nearsighted; his near point is...Ch. 25 - A particular nearsighted patient cant see objects...Ch. 25 - A particular patients eyes are unable to focus on...Ch. 25 - A patient has a near point of 45.0 cm and far...Ch. 25 - Prob. 17PCh. 25 - Prob. 18PCh. 25 - Prob. 19PCh. 25 - A person sees clearly wearing eyeglasses that have...Ch. 25 - A stamp collector uses a lens with 7.5-cm focal...Ch. 25 - When a drop of water is placed on a flat, clear...Ch. 25 - A biology student uses a simple magnifier to...Ch. 25 - A jewelers lens of focal length 5.0 cm is used as...Ch. 25 - A leaf of length h is positioned 71.0 cm in front...Ch. 25 - (a) What is the maximum angular magnification of...Ch. 25 - The desired overall magnification of a compound...Ch. 25 - Prob. 28PCh. 25 - Prob. 29PCh. 25 - A microscope has an objective lens with a focal...Ch. 25 - The two lenses of a compound microscope are...Ch. 25 - Prob. 32PCh. 25 - Prob. 33PCh. 25 - Prob. 34PCh. 25 - Suppose an astronomical telescope is being...Ch. 25 - Prob. 36PCh. 25 - Prob. 37PCh. 25 - An elderly sailor is shipwrecked on a desert...Ch. 25 - Prob. 39PCh. 25 - Prob. 40PCh. 25 - A converging lens with a diameter of 30.0 cm forms...Ch. 25 - Prob. 42PCh. 25 - Prob. 43PCh. 25 - (a) Calculate the limiting angle of resolution for...Ch. 25 - Prob. 45PCh. 25 - Prob. 46PCh. 25 - Prob. 47PCh. 25 - A spy satellite circles Earth at an altitude of...Ch. 25 - A diffraction grating has a second-order resolving...Ch. 25 - Prob. 50PCh. 25 - Prob. 51PCh. 25 - Monochromatic light is beamed into a Michelson...Ch. 25 - Light of wavelength 550. nm is used to calibrate a...Ch. 25 - Prob. 54PCh. 25 - An interferometer is used to measure the length of...Ch. 25 - The Michelson interferometer can be used to...Ch. 25 - A thin sheet of transparent material has an index...Ch. 25 - Prob. 58APCh. 25 - Prob. 59APCh. 25 - A person with a nearsighted eye has near and far...Ch. 25 - An American standard analog television picture...Ch. 25 - Prob. 62APCh. 25 - The near point of an eye is 75.0 cm. (a) What...Ch. 25 - Prob. 64APCh. 25 - A cataract-impaired lens in an eye may be...Ch. 25 - A laboratory (astronomical) telescope is used to...Ch. 25 - Prob. 67AP
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- In 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_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_forwardMonochromatic light of wavelength 620 nm passes through a very narrow slit S and then strikes a screen in which are two parallel slits. S1 and S2, as shown in Figure P37.75. Slit S1 is directly in line with S and at a distance of L = 1.20 in away from S, whereas S2, is displaced a distance d to one side. The light is detected at point /Jon a second screen, equidistant from S1 and S2. When either slit S1 or S2 is open, equal light intensities are measured at point P. When both slits are open, the intensity is three times larger. Find the minimum possible value for the slit separation d.arrow_forward
- The Very Large Array (VLA) is a set of 27 radio telescope dishes in Catron and Socorro counties, New Mexico (Fig. P37.37). The antennas can be moved apart on railroad tracks, and their combined signals give the resolving power of a synthetic aperture 36.0 km in diameter. (a) If the detectors are tuned to a frequency of 1.40 GHz, what is the angular resolution of the VLA? (b) Clouds of interstellar hydrogen radiate at the frequency used in part (a). What must be the separation distance of two clouds at the center of the galaxy, 26 000 light-years away, if they are to be resolved? (c) What If? As the telescope looks up, a circling hawk looks down. Assume the hawk is most sensitive to green light having a wavelength of 500 nm and has a pupil of diameter 12.0 mm. Find the angular resolution of the hawks eye. (d) A mouse is on the ground 30.0 m below. By what distance must the mouses whiskers be separated if the hawk can resolve them? Figure P37.37arrow_forwardInterference fringes are produced using Lloyds mirror and a source S of wavelength = 606 nm as shown in Figure P36.41. Fringes separated by y = 1.20 mm are formed on a screen a distance L = 2.00 m from the source. Find the vertical distance h of the source above the reflecting surface. Figure P36.41arrow_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
- A beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence as shown in Figure P27.23. For what minimum nonzero value of the plate separation d is the transmitted light bright?arrow_forward1A. Suppose a person's eyes have a relaxed power of 50.14 D. Assume a 2.00 cm distance from the retina to the lens of the eye. What is the far point of the person in m? 1B. Suppose a double-slit interference pattern has its third minimum at an angle of 0.258° with slits that are separated by 319 μm. Calculate the wavelength of the light in nm. (ANSWER WAS NOT 410 AS STATED BY PREVIOUS BARTLEBY TUTOR) 1C. Consider a 540 nm light falling on a single slit of width 1.1 μm. At what angle in degrees is the first minimum for the light?arrow_forward1. A two-slit experiment with slits separated by 48 0 10 5 . × − m produces a second-order maximum at an angle of0.0990°. (a) Find the wavelength of the light used in this experiment. (b) If the slit separation is increased, butthe second-order maximum stays at the same angle, does the wavelength increase, decrease, or stay the same?Explain. (c) Calculate the wavelength for a slit separation of 68 0 10 5 . × .arrow_forward
- 22tout +2 5460 1-light with wavelength of λ=546nm (green light) hits a single slit perpendicularly. This will cause a central maxima with a width of 2.75 cm, 1.80 m away from the slit. What is the width of the slit? 400 m 00.8 bolqa do .L 0.0275 dsine = M) Sinos tanong >=546nm unicom is dito Central maxima = 0,0275m D=1.80mm P d=2DB d=2(S46 No-9) (1.50m) d=27j! d = 7,14x10-sm DMITAND 0.0275marrow_forward1. The limit to the eye's acuity is actually related to diffraction by the pupil. (a) What is the angle between two just-resolvable points of light for a 3.1 mm-diameter pupil, assuming an average wavelength of 570 nm? rads (b) Take your result to be the practical limit for the eye. What is the greatest possible distance a car can be from you if you can resolve its two headlights, given they are 0.8 m apart? r= km (c) What is the distance between two just-resolvable points held at an arm's length (1 m) from your eye? mm S=arrow_forward1. The limit to the eye's acuity is actually related to diffraction by the pupil. (a) What is the angle between two just-resolvable points of light for a 2.8 mm-diameter pupil, assuming an average wavelength of 500 nm? e = rads (b) Take your result to be the practical limit for the eye. What is the greatest possible distance a car can be from you if you can resolve its two headlights, given they are 1.7 m apart? km r= (c) What is the distance between two just-resolvable points held at an arm's length (0.9 m) from your eye? mmarrow_forward
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Spectra Interference: Crash Course Physics #40; Author: CrashCourse;https://www.youtube.com/watch?v=-ob7foUzXaY;License: Standard YouTube License, CC-BY