UNIVERSITY PHYSICS,VOL.3 (OER)
17th Edition
ISBN: 2810020283905
Author: OpenStax
Publisher: XANEDU
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Chapter 3, Problem 76AP
Two microscope slides made of glass are illuminated by monochromatic
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Two microscope slides made of glass are illuminated by monochromatic (λ=589nmλ=589nm) light incident perpendicular to the surface. The top slide touches the bottom slide at one end and rests on a thin copper wire at the other end, forming a wedge of air. Dimensions are not to scale. The wire diameter and the thickness of the gap should be very small compared to the thickness of the glass.. If 104 bright fringes appear between the point where the glass slides contact each other and where they contact the wire, what is the minimum diameter D of the wire in micrometers.
A thin film of glycerin (n = 1.473) of thickness 525 nm with air on both sides is illuminated with white light at near normal incidence. What wavelengths will be strongly reflected in the range 300 nm to 700 nm?
answer nm (smallest value)
answer nm
answer nm (largest value)
Two point sources of light are separated by 5.5 cm
a. As viewed through a 13 μmμm diameter pinhole, what is the maximum distance from which they can be resolved if red light ( λλ = 690 nmnm) is used?
b. If violet light ( λλ = 420 nmnm ) is used?
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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- 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_forwardA 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_forward
- Table 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_forwardBoth 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_forwardTwo microscope slides made of glass are illuminated by monochromatic (λ=589nm�=589nm) light incident perpendicular to the surface. The top slide touches the bottom slide at one end and rests on a thin copper wire at the other end, forming a wedge of air. Dimensions are not to scale. The wire diameter and the thickness of the gap should be very small compared to the thickness of the glass. Part (a) If 101 bright fringes appear between the point where the glass slides contact each other and where they contact the wire, then what is the minimum diameter, D, of the wire in micrometers? Part (b) The wire appears between bright fringe 101 and bright fringe 101+1. Use the difference in the gap width between these two bright fringes as a measure of the error, ΔD, and calculate its value in micrometers. Part c The percent error in the estimate of the diameter of the hair is most nearlyarrow_forward
- The Michelson interferometer can be used to measure the index of refraction of a gas by placing an evacuated transparent tube in the light path along one arm of the device. Fringe shifts occur as the gas is slowly added to the tube. Assume 610-nm light is used, the tube is 5.40 cm long, and 168 bright fringes pass on the screen as the pressure of the gas in the tube increases to atmospheric pressure. What is the index of refraction of the gas? Hint: The fringe shifts occur because the wavelength of the light changes inside the gas-filled tube. (Give your answer to at least five decimal places.)arrow_forwardA light source emits visible light of two wavelenghts lambda1 = 430nm and lambda2 = 510nmarrow_forwardA sheet of paper 0.014 cm thick separates two sheets of glass to form an air wedge 16.5 cm long. When the air wedge is illuminated with monochromatic light, the distance between the centers of the first and eighth dark bands is 2.3 mm. Determine the wavelength of the light, in nm,arrow_forward
- A laboratory dish, 20 cm in diameter, is half filled with water. One at a time, 0.48 µL drops of oil from a micropipette are dropped onto the surface of the water, where they spread out into a uniform thin film. After the first drop is added, the intensity of 610 nm light reflected from the surface is very low. As more drops are added, the reflected intensity increases, then decreases again to a minimum after a total of 13 drops have been added. Part A What is the index of refraction of the oil? Hνα ΑΣφ ? Noil = Submit Request Answerarrow_forwarda broad beam of light of wavelength 683 nm is sent directly downward through the top plate of a pair of glass plates. The plates are 120 mm long, touch at the left end, and are separated by 48.0 mm at the right end.The air between the plates acts as a thin film. How many bright fringes will be seen by an observer looking down through the top plate?arrow_forwardIn a double-slit diffraction experiment, two slits of width 12.4 x 10-6 m are separated by a distance of 32.2 x 10-6 m, and the wavelength of the incident light is 671 nm. The diffraction pattern is viewed on a screen 4.63 m from the slits. Assume Ip is the intensity at a point P, a distance y= 69.8 cm on the screen from the central maximum. Find the ratio of the intensity at P and the intensity at the center of the diffraction pattern (I), Ip/Io. i Hint The ratio of the intensities is given by = (sin(a)) ² Ip Io Save for Later cos (B)². Submit Answerarrow_forward
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