College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 25, Problem 42P
To determine
The smallest separation between two objects on the ground that are distinguishable.
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The index of refraction for orange (610 nm) and green (550 nm) light respectively in crown glass is 1.514 and 1.519. By how much do the critical angles for orange and green light differ in crown glass surrounded by air?
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Why is the following situation impossible? A piece of transparent material having an index of refraction n = 1.50 is cut into the shape of a wedge as shown. Both the top and bottom surfaces of the wedge are in contactwith air. Monochromatic light of wavelength λ = 632.° nm is normally incident from above, and the wedge is viewed from above. Let h = 1.00 mm represent the height of the wedge and ℓ = 0.500 m its length. A thin-film interference pattern appears in the wedge due to reflection from the topand bottom surfaces. You have been given the task of counting the number of bright fringes that appear in the entire length ℓ of the wedge. You find this task tedious, and your concentration is broken by a noisy distraction after accurately counting 5 000 bright fringes.
A plano-concave lens having index of refraction 1.50 is placed on a flat glass plate as shown in Figure P36.39. Its curved surface, with radius of curvature 8.00 m, is on the bottom. The lens is illuminated from above with yellow sodium light of wavelength 589 nm, and a series of concentric bright and dark rings is observed by reflection. The interference pattern has a dark spot at the center that is surrounded by 50 dark rings, the largest of which is at the outer edge of the lens. (a) What is the thickness of the air layer at the center of the interference pattern? (b) Calculate the radius of the outermost dark ring. (c) Find the focal lengthof the lens.
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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- By how much do the critical angles for red (660 nm) and violet (410 nm) light differ in a diamond surrounded by air?arrow_forwardis the minimum separation of 2 small sources of red lights on Earth that you can resolve by eye when you are flying 3.0 km above the ground? Assume the light's wavelength in air is 633 nm, the index of refraction inside the eye is 1.333 and a pupil diameter of 4.00 mm.arrow_forwardWhite light is incident normally on a glass lens (n=1.52) that is coated with a film of MgF2 (n=1.38). For what minimum thickness of the film will the reflections at the two interfaces result in total destructive interference of yellow light of wavelength 580 nm (in air)?arrow_forward
- A step-index fiber has an inner cylindrical core surrounded by a cylindrical cladding. The core has an index of refractionn1 = 1.40. Light of vacuum wavelength 633 nm enters the fiber from air (n0=1.00) at an angle θ0 as shown in the picture below. The incidence angle at the core-cladding interface is the critical angle θc. According to the image given, the critical angle θc for the core-cladding interface is found to be 59°. What is the index of refraction of the cladding? a) 1.4 b) 1.6 c) 1.2 d) none of thesearrow_forwardThe two headlights on an on-coming car are 1.40 m apart. At what distance (in km) will an eye with pupil diameter of 4.30 mm be able to resolve the two headlights? Assume a wavelength of 517 nm for the light.arrow_forwardWhile flying at an altitude of 9.25 km, you look out the window at various objects on the ground. If your ability to distinguish two objects is limited only by diffraction, find the smallest separation between two objects on the ground that are distinguishable. Assume your pupil has a diameter of 4.0 mm and take ? = 500 nm. _______marrow_forward
- Parallel rays of green mercury light with a wavelength of 546 nm pass through a slit covering a convex lens with a focal length of 60 cm. In the focal plane of the lens, the distance from the central maximum to the first minimum is 10.2 mm. What must be the width of this slit?arrow_forwardA step-index fiber has an inner cylindrical core surrounded by a cylindrical cladding. The core has an index of refraction (n1 = 1.40). Light of vacuum wavelength 633 nm enters the fiber from air (n0=1.00) at an angle θ0 as shown in the picture below. The incidence angle at the core-cladding interface is the critical angle θc. What should be the maximum value of the incident angle θ0 such that light is totally internally reflected at the core-cladding interface? a) 48.10. b) 46.10. c) 50.10. d) none of these.arrow_forwardA coating, 177.4 nm thick, is applied to a lens to minimize reflections. Therespective indexes of refraction of the coating and of the lens material are 1.55and 1.48. What wavelength in air is minimally reflected for normal incidence inthe smallest thickness? Draw a diagram as part of your solution.arrow_forward
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