Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 32, Problem 48P
As a soap bubble with n = 1.333 evaporates and thins, reflected colors gradually disappear. What are (a) the bubble thickness just as the last vestige of color vanishes and (b) the last color seen?
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Students have asked these similar questions
As a soap bubble with n = 1.333 evaporates and thins, reflected colors gradually disappear. What is the bubble thickness just as the last
vestige of color vanishes ?
103 In Fig. 35-59, an oil drop (n = 1.20) floats on the surface of wa-
ter (n = 1.33) and is viewed from overhead when illuminated by sun-
light shining vertically downward and reflected vertically upward. (a)
Are the outer (thinnest) regions of the drop bright or dark? The oil
film displays several spectra of colors. (b) Move from the rim inward
to the third blue band and, using a wavelength of 475 nm for blue
light, determine the film thickness there. (c) If the oil thickness in-
creases, why do the colors gradually fade and then disappear?
%3D
Oil
Water
Figure 35-59 Problem 103.
5. Assume the indices of refraction for air, water, and
glass are 1.00, 1.33, and 1.50, respectively. When
illuminated from above, a ray reflected from the
air-water interface undergoes a phase shift of o, =
T, and a ray reflected at the water-glass interface
also undergoes a phase shift of n. Thus, the two
rays are unshifted in phase relative to cach other
due to reflection. For constructive interference, the
path difference 2t must equal an integer number
(m) of wavelengths in water.
air
14%=(2/2)27+x
water
glass
a. Derive the equation in terms of A based on the situation above.
b. If this m-value is an integer the wavelength undergoes constructive interference
upon reflection in terms of A, compute for the wavelengths for the following
thickness: t- 2 x 10°m at mr00 nm and m.o0 am
Chapter 32 Solutions
Essential University Physics (3rd Edition)
Ch. 32.1 - Laser light is split into two beams, one of which...Ch. 32.2 - If you increase the slit separation in a two-slit...Ch. 32.4 - If you photographed the soap film in Fig. 32.14...Ch. 32.5 - A classmate down the hall is playing obnoxiously...Ch. 32.6 - You're a biologist trying to resolve details of...Ch. 32 - A prism bends blue light more than red. Is the...Ch. 32 - Prob. 2FTDCh. 32 - Prob. 3FTDCh. 32 - Why don't you see interference effects between the...Ch. 32 - You can hear around corners, but you cant see...
Ch. 32 - In deriving the intensity in double-slit...Ch. 32 - The primary maxima in multiple-slit interference...Ch. 32 - Prob. 8FTDCh. 32 - Sketch roughly the diffraction pattern you would...Ch. 32 - A double-slit system is used to measure the...Ch. 32 - A double-slit experiment with d = 0.025mm and L =...Ch. 32 - A double-slit experiment has slit spacing 0.12 mm....Ch. 32 - The interference pattern from two slits separated...Ch. 32 - The 546-nm green line of gaseous mercury falls on...Ch. 32 - In a five-slit system, how many minima lie between...Ch. 32 - In a three-slit system, the first minimum occurs...Ch. 32 - A five-slit system with 7.5-m slit spacing is...Ch. 32 - Green light at 520 nm is diffracted by a grating...Ch. 32 - Light is incident normally on a grating with...Ch. 32 - Prob. 20ECh. 32 - Find the minimum thickness of a soap film (n =...Ch. 32 - Light of unknown wavelength shines on a precisely...Ch. 32 - Monochromatic light shines on a glass wedge with...Ch. 32 - White light shines on a 75.0-nm-thick sliver of...Ch. 32 - For the soap film described in Conceptual Example...Ch. 32 - For what ratio of slit width to wavelength will...Ch. 32 - Light with wavelength 633 nm is incident on a...Ch. 32 - Youre inside a metal building that blocks radio...Ch. 32 - Find the intensity as a fraction of the central...Ch. 32 - Prob. 30ECh. 32 - Find the minimum telescope aperture that could...Ch. 32 - Whats the longest wavelength of light you could...Ch. 32 - In bright light, the human eyes pupil diameter is...Ch. 32 - Find the angular position of the second-order...Ch. 32 - A double-slit experiment has slit spacing 0.035nm,...Ch. 32 - For a double-slit system with slit spacing 0.0525...Ch. 32 - A screen 1.0 m wide is 2.0 m from a pair of slits...Ch. 32 - A tube of glowing gas emits light at 550 nm and...Ch. 32 - On the screen of a multiple-slit system, the...Ch. 32 - Youre designing a spectrometer whose...Ch. 32 - For visible light with wavelengths from 400 nm to...Ch. 32 - Find the total number of lines in a 2.5-cm-wide...Ch. 32 - What order is necessary to resolve 647.98-nm and...Ch. 32 - A thin film of toluene (n = 1.49) floats on water....Ch. 32 - NASA asks you to assess the feasibility of a...Ch. 32 - In the second-order spectrum from a diffraction...Ch. 32 - Prob. 47PCh. 32 - As a soap bubble with n = 1.333 evaporates and...Ch. 32 - An oil film with refractive index 1.25 floats on...Ch. 32 - The table below lists the angular positions of the...Ch. 32 - Two perfectly flat glass plates are separated at...Ch. 32 - An air wedge like that of Fig. 32.28 shows N...Ch. 32 - A Michelson interferometer uses light from glowing...Ch. 32 - Find the wavelength of light used in a Michelson...Ch. 32 - One arm of a Michelson interferometer is 42.5 cm...Ch. 32 - Your stereo is in a dead spot caused by direct...Ch. 32 - A proposed star wars antimissile laser is to focus...Ch. 32 - Suppose one of the 10-m-diameter Keck Telescopes...Ch. 32 - A camera has an f/1.4 lens, meaning the ratio of...Ch. 32 - The CIA wants your help identifying individual...Ch. 32 - While driving at night, your eyes irises dilate to...Ch. 32 - Under the best conditions, atmospheric turbulence...Ch. 32 - Prob. 63PCh. 32 - An air wedge like that of Fig. 32.28 displays...Ch. 32 - A thin-walled glass tube of length L containing a...Ch. 32 - Light is incident on a diffraction grating at...Ch. 32 - An arrangement known as Lloyds mirror (Fig. 32.29)...Ch. 32 - The intensity of the single-slit diffraction...Ch. 32 - Youre on an international panel charged with...Ch. 32 - Youre investigating an oil spill for your state...Ch. 32 - If the separation of two telescopes comprising an...Ch. 32 - If the separation of two telescopes comprising an...Ch. 32 - If a point source is located directly above a...Ch. 32 - If a point source is located on a line at 45 to...
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- A parallel beam of light containing orange (610 nm) and violet (4.10wm) wavelengths goes from fused quartz to water, striking the surface between them at a 60.00 incident angle. What is the angle between the two colors in water?arrow_forwardt I A thin film of gasoline (n = 1.4) is located on smooth piece of glass (n = 1.5). When viewed perpendicular to the pavement, the film appears red (λ = 684nm) and has no blue (λ = 483mm) color. What is the minimum thickness of the gasoline film? ገሃarrow_forwardWe have all seen colorful soap bubbles (I hope) as children. The interesting patterns of color that arise in the bubble are a consequence of ambient light passing through the soap film, reflecting or transmitting off of the boundaries between soap and air, and constructively (or destructively)interfering. Let d denote the unknown soap bubble film thickness. The index of refraction of air n_air≈1, while the index of refraction in the soap film is n≈1.3. 1.1. Determine the criterion on the soap film thickness d to have constructive interference between incident and reflected light of wavelengthλ. Assume it is an incident normally on the soap film. 1.2.Visible light hasλ≈600 nm in air. Given that visible light can constructively interfere with the soap film, estimate its thickness.arrow_forward
- The walls of a soap bubble have about the same index ofrefractionas that of plain water, n = 1.33. There is air both insideand outside the bubble. (a) What wavelength (in air) of visible light ismost strongly reflected from a point on a soap bubble where its wall is290 nm thick? To what color does this correspond ? (b) Repeat part (a) for a wall thickness of 340 nm.arrow_forwardA thin film of glass (n = 1.52) of thickness 0.390 ?m is viewed under white light at near normal incidence. What wavelength of visible light is most strongly reflected by the film when surrounded by air? (Visible light ranges from 400 to 700 nm.) (answer in nm)arrow_forwardWhen white light shines downward on a thin, horizontal layer of oil, light waves reflected from the upper and lower surfaces of the film of oil interfere, producing vibrant colors. The color that you see reflected from a certain spot on the film depends on (i) the film thickness at that spot; (ii) the index of refraction of the oil; (iii) the index of refraction of the material below the oil; (iv) both (i) and (ii); (v) all of (i), (ii), and (iii).arrow_forward
- . 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.arrow_forwardA thin film of oil (n = 1.4) of thickness 1.38micrometers. is compressed between two glass slabs (n = 1.5). White light containing wavelengths from 400 to 700nm (measured in air) is incident normally on the film. In the reflected light, which wavelengths are, in order of decreasing magnitude: a) Missing? nm, nm, nm, nm. b) Enhanced? nm, nm, nm, nm.arrow_forward-6 m thick at the other end. The Two flat glass plates are in contact along one end and are separated by a sheet of paper 4.9 × 10 top plate is illuminated by a monochromatic light source of wavelength 483 nm. How many dark parallel bands will be evident across the top plate? (1 nm = 10 -9 m) а. 11 b. 10 Ос. 17 d. 21 Ое. 19arrow_forward
- A thin layer of liquid methylene iodide (n = 1.756) is sandwiched between two flat, parallel plates of glass (n = 1.50). What must be the thickness of the liquid layer if normally incident light with ? = 339 nm in air is to be strongly reflected?arrow_forwardThe 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 600.-nm light is used, the tube is 5.00 cm long, and 160 fringe shifts occur 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.arrow_forwardA thin film of glass (n = 1.66) of thickness 0.363 ?m is viewed under white light at near-normal incidence. What wavelength of visible light is most strongly reflected by the film when surrounded by air? (Visible light ranges from 400 to 700 nm.)arrow_forward
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