UNIVERSITY PHYSICS,VOL.3 (OER)
17th Edition
ISBN: 2810020283905
Author: OpenStax
Publisher: XANEDU
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Chapter 3, Problem 65AP
Eight slits equally separated by 0.149 mm is uniformly illuminated by a monochromatic light at
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Eight slits equally separated by 0.149 mm is uniformly illuminated by a monochromatic light at λ = 523 nm. What is the width of the central principal maximum on a screen 2.35 m away?
A single Slit width of 0.23 mm is illuminated by monochromatic light with wavelength 520nm, and a diffraction pattern is formed on screen 3.4 m away from the slit. What is the width of the central maximum?
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?
Chapter 3 Solutions
UNIVERSITY PHYSICS,VOL.3 (OER)
Ch. 3 - Check Your Understanding In the system used in the...Ch. 3 - Check Your Understanding Going further with...Ch. 3 - Check Your Understanding Although m, the number of...Ch. 3 - Young’s double-slit experiment breaks a single...Ch. 3 - Is it possible to create a experimental setup in...Ch. 3 - Why won’t two small sodium lamps, held close...Ch. 3 - Suppose you use the same double slit to perform...Ch. 3 - Why is monochromatic light used in the double slit...Ch. 3 - What effect does increasing the wedge angle have...Ch. 3 - How is the difference in paths taken by two...
Ch. 3 - Is there a phase change in the light reflected...Ch. 3 - In placing a sample on a microscope slide, a glass...Ch. 3 - Answer the above question if the fluid between the...Ch. 3 - While contemplating the food value of a slice of...Ch. 3 - An inventor notices that a soap bubble is dark at...Ch. 3 - A nonreflective coating like the one described in...Ch. 3 - Why is it much more difficult to see interference...Ch. 3 - Describe how a Michelson interferometer can be...Ch. 3 - At what angle is the first-order maximum for...Ch. 3 - Calculate the angle for the third-order maximum of...Ch. 3 - What is the separation between two slits for which...Ch. 3 - Find the distance between two slits that produces...Ch. 3 - Calculate the wavelength of light that has its...Ch. 3 - What is the wavelength of light falling on double...Ch. 3 - At what angle is the fourth-order maximum for the...Ch. 3 - What is the highest-order maximum for 400-nm light...Ch. 3 - Find the largest wavelength of light falling on...Ch. 3 - What is the smallest separation between two slits...Ch. 3 - (a) What is the smallest separation between two...Ch. 3 - (a) If the first-order maximum for monochromatic...Ch. 3 - Shown below is a double slit located a distance x...Ch. 3 - Using the result of the preceding problem, (a)...Ch. 3 - Using the result of the problem two problems...Ch. 3 - In a double-slit experiment, the fifth maximum is...Ch. 3 - The source in Young’s experiment emits at two...Ch. 3 - If 500-nm and 650-nm light illuminates two slits...Ch. 3 - Red light of wavelength of 700 nm falls on a...Ch. 3 - Ten narrow slits are equally spaced 0.25 mm apart...Ch. 3 - The width of bright fringes can be calculated as...Ch. 3 - For a three-slit interference pattern, find the...Ch. 3 - What is the angular width of the central fringe of...Ch. 3 - A soap bubble is 100 nm thick and illuminated by...Ch. 3 - An oil slick on water is 120 nm thick and...Ch. 3 - Calculate the minimum thickness of an oil slick on...Ch. 3 - Find the minimum thickness of a soap bubble that...Ch. 3 - A film of soapy water (n=1.33) on top of a plastic...Ch. 3 - What are the three smallest non-zero thicknesses...Ch. 3 - Suppose you have a lens system that is to be used...Ch. 3 - (a) As a soap bubble thins it becomes dark,...Ch. 3 - To save money on making military aircraft...Ch. 3 - A Michelson interferometer has two equal arms. A...Ch. 3 - What is the distance moved by the traveling mirror...Ch. 3 - When the traveling mirror of a Michelson...Ch. 3 - In a Michelson interferometer, light of wavelength...Ch. 3 - A chamber 5.0 cm long with flat, parallel windows...Ch. 3 - For 600-nm wavelength light and a slit separation...Ch. 3 - If the light source in the preceding problem is...Ch. 3 - Red light (=710.nm) illuminates double slits...Ch. 3 - Two sources as in phase and emit waves with =0.42...Ch. 3 - Two slits 4.0106 m apart are illuminated by light...Ch. 3 - Suppose that the highest order fringe that can be...Ch. 3 - The interference pattern of a He-Ne laser light...Ch. 3 - Young’s double-slit experiment is performed...Ch. 3 - A double-slit experiment is to be set up so that...Ch. 3 - An effect analogous to two-slit interference can...Ch. 3 - A hydrogen gas discharge lamp emits visible light...Ch. 3 - Monochromatic light of frequency 5.51014 Hz falls...Ch. 3 - Eight slits equally separated by 0.149 mm is...Ch. 3 - Eight slits equally separated by 0.149 mm is...Ch. 3 - A transparent film of thickness 250 nm and index...Ch. 3 - An intensity minimum is found for 450 nm light...Ch. 3 - A thin film with n=1.32 is surrounded by air. What...Ch. 3 - Repeat your calculation of the previous problem...Ch. 3 - After a minor oil spill, a think film of oil...Ch. 3 - A microscope slide 10 cm long is separated from a...Ch. 3 - Suppose that the setup of the preceding problem is...Ch. 3 - A thin wedge filled with air is produced when two...Ch. 3 - Two identical pieces of rectangular plate glass...Ch. 3 - Two microscope slides made of glass are...Ch. 3 - A good quality camera “lens” is actually a system...Ch. 3 - Constructive interference is observed from...Ch. 3 - A soap bubble is blown outdoors. What colors...Ch. 3 - A Michelson interferometer with a He-Ne laser...Ch. 3 - An experimenter detects 251 fringes when the...Ch. 3 - A Michelson interferometer is used to measure the...Ch. 3 - A 5.08-cm-long rectangular glass chamber is...Ch. 3 - Into one arm of a Michelson interferometer, a...Ch. 3 - The thickness of an aluminum foil is measured...Ch. 3 - The movable mirror of a Michelson interferometer...Ch. 3 - In a thermally stabilized lab, a Michelson...Ch. 3 - A 65-fringe shift results in a Michelson...Ch. 3 - Determine what happens to the double-slit...Ch. 3 - Fifty-one narrow slits are equally spaced and...Ch. 3 - A film of oil on water will appear dark when it is...Ch. 3 - Figure 3.14 shows two glass slides illuminated by...Ch. 3 - Figure 3.14 shows two 7.50-cm-long glass slides...Ch. 3 - A soap bubble is 100 nm thick and illuminated by...Ch. 3 - An oil slick on water is 120 nm thick and...
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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_forwardEight slits equally separated by 0.149 mm is uniformly illuminated by a monochromatic light at =523 nm. What is the intensity of a secondary maxima compared to that of the principal maxima?arrow_forwardWhen 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_forward
- A 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_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_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_forward
- Consider 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 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
- A monochromatic beam of light of wavelength 500 nm illuminates a double slit having a slit separation of 2.00 105 m. What is the angle of the second-order bright fringe? (a) 0.050 0 rad (b) 0.025 0 rad (c) 0.100 rad (d) 0.250 rad (e) 0.010 0 radarrow_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_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_forward
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