UNIVERSITY PHYSICS,VOL.3 (OER)
17th Edition
ISBN: 2810020283905
Author: OpenStax
Publisher: XANEDU
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Chapter 3, Problem 91CP
A film of oil on water will appear dark when it is very thin, because the path length difference becomes small compared with the
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A film of oil on water will appear dark when it is very thin, because the
path length difference becomes small compared with the wavelength of
light and there is a phase shift at the top surface. If it becomes dark when
the path length difference is less than one-fourth the wavelength, what is
the thickest the oil can be and appear dark at all visible wavelengths? Oil
has an index of refraction of 1.40. Take 380 nm to be the shortest visible
wavelength in air.
A film of oil on water will appear dark when
it is very thin, because the path length
difference becomes small compared with
the wavelength of light and there is a phase
shift at the top surface. If it becomes dark
when the path length difference is less
than one-fourth the wavelength, what is the
thickest the oil can be and appear dark at
all visible wavelengths? Oil has an index of
refraction of 1.40.
e 12:42
White light is incident from air onto a triangular prism at a 55.0º angle with respect to the normal. The prism has an index of refraction of 1.45 for red light and 1.50 for violet light and the apex angle of the prism is 60º. Take nair=1.00 for all wavelengths.a) What is the angular separation (dispersion angle) of the two ends of the visible spectrum while in the prism?
b) What is the angular separation (dispersion angle) of the two ends of the visible spectrum upon exiting the prism?
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_forwardTo save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?arrow_forwardLight enters a prism of crown glass and refracts at an angle of 5.00 with respect to the normal at the interface. The crown glass has a mean index of refraction of 1.51. It is combined with one flint glass prism (n = 1.65) to produce no net deviation. a. Find the apex angle of the flint glass. b. Assume the index of refraction for violet light (v = 430 nm) is nv = 1.528 and the index of refraction for red light (r = 768 nm) is nr = 1.511 for crown glass. For flint glass using the same wavelengths, nv = 1.665 and nr = 1.645. Find the net dispersion.arrow_forward
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