Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 37, Problem 41P
To determine
The distance of the next dark fringe from the contact point.
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A broad beam of light of wavelength 600 nm is sent directly downward through the glass plate (n = 1.41). That plate and a plastic plate (n = 1.24) form a thin wedge of air that acts as a thin film. An observer looking down through the top plate sees the fringe pattern, with 7 dark fringes, having two centered on the ends. (a) What is the thickness (in m) of wedge at the right end? (b) How many dark fringes will the observer see if the air between the plates is replaced with a liquid with n = 1.35?
A thin film of a liquid floats on ( therefore it is less dense) on a surface of water with n= 1.33. A maximum reflection occurs at a wavelength in air of 410.0 nm. You are able to determine the thickness of the film to be 97.0 nm. What is the index of refraction of the unknown liquid? Consider n to be 1.00 for air.
Thin Film
Light is incident perpendicularly on a soap film suspended in air. The soap has an
index of refraction n2 greater than that of air (n1 = 1.00).
The phase shift for reflection at the air to soap interface is
O T radians
T radians
2
The phase shift for reflection at the air to soap interface is
O I radians
T radians
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Given n2 = 1.32, what is the second least thickness of the soap film for which light of
wavelength 556 nm has reflected light that undergoes fully constructive
interference? (Express answer in nm to zero decimal places.)
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Chapter 37 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 37.2 - Which of the following causes the fringes in a...Ch. 37.3 - Using Figure 36.6 as a model, sketch the...Ch. 37.5 - One microscope slide is placed on top of another...Ch. 37 - Prob. 1OQCh. 37 - Four trials of Youngs double-slit experiment are...Ch. 37 - Suppose Youngs double-slit experiment is performed...Ch. 37 - Prob. 4OQCh. 37 - Prob. 5OQCh. 37 - Prob. 6OQCh. 37 - Prob. 7OQ
Ch. 37 - Prob. 8OQCh. 37 - Prob. 9OQCh. 37 - A film of oil on a puddle in a parking lot shows a...Ch. 37 - Prob. 1CQCh. 37 - Prob. 2CQCh. 37 - Prob. 3CQCh. 37 - Prob. 4CQCh. 37 - Prob. 5CQCh. 37 - Prob. 6CQCh. 37 - Prob. 7CQCh. 37 - Prob. 8CQCh. 37 - Prob. 9CQCh. 37 - Two slits are separated by 0.320 mm. A beam of...Ch. 37 - Prob. 2PCh. 37 - A laser beam is incident on two slits with a...Ch. 37 - Prob. 4PCh. 37 - Prob. 5PCh. 37 - Prob. 6PCh. 37 - Prob. 7PCh. 37 - Prob. 8PCh. 37 - Prob. 9PCh. 37 - Light with wavelength 442 nm passes through a...Ch. 37 - Prob. 11PCh. 37 - Prob. 12PCh. 37 - Prob. 13PCh. 37 - Prob. 14PCh. 37 - Prob. 15PCh. 37 - A student holds a laser that emits light of...Ch. 37 - Prob. 17PCh. 37 - Prob. 18PCh. 37 - Prob. 19PCh. 37 - Prob. 20PCh. 37 - Prob. 21PCh. 37 - Prob. 22PCh. 37 - Prob. 23PCh. 37 - Prob. 24PCh. 37 - Prob. 25PCh. 37 - Monochromatic coherent light of amplitude E0 and...Ch. 37 - Prob. 27PCh. 37 - Prob. 28PCh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - When a liquid is introduced into the air space...Ch. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43PCh. 37 - Prob. 44PCh. 37 - Prob. 45APCh. 37 - Prob. 46APCh. 37 - Prob. 47APCh. 37 - Prob. 48APCh. 37 - Prob. 49APCh. 37 - Prob. 50APCh. 37 - Prob. 51APCh. 37 - In a Youngs interference experiment, the two slits...Ch. 37 - In a Youngs double-slit experiment using light of...Ch. 37 - Prob. 54APCh. 37 - Prob. 55APCh. 37 - Prob. 56APCh. 37 - Prob. 57APCh. 37 - Prob. 58APCh. 37 - Prob. 59APCh. 37 - Prob. 60APCh. 37 - Prob. 61APCh. 37 - Prob. 62APCh. 37 - Prob. 63APCh. 37 - Prob. 64APCh. 37 - Prob. 65APCh. 37 - Prob. 66APCh. 37 - Prob. 67APCh. 37 - Prob. 68APCh. 37 - Prob. 69APCh. 37 - Prob. 70APCh. 37 - Prob. 71CPCh. 37 - Prob. 72CPCh. 37 - Prob. 73CPCh. 37 - Prob. 74CPCh. 37 - Prob. 75CPCh. 37 - Prob. 76CP
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- In the double-slit arrangement of Figure P36.13, d = 0.150 mm, L = 140 cm, = 643 nm. and y = 1.80 cm. (a) What is the path difference for the rays from the two slits arriving at P? (b) Express this path difference in terms of . (c) Does P correspond to a maximum, a minimum, or an intermediate condition? Give evidence for your answer. Figure P36.13arrow_forwardFigure P36.53 shows two thin glass plates separated by a wire with a square cross section of side length w, forming an air wedge between the plates. What is the edge length w of the wire if 42 dark fringes are observed from above when 589-nm light strikes the wedge at normal incidence? FIGURE P36.53arrow_forwardTwo identical horizontal sheets of glass have a thin film of air of thickness t between them. The glass has refractive index 1.40. The thickness t of the air layer can be varied. Light with wavelength l in air is at normal incidence onto the top of the air film. There is constructive interference between the light reflected at the top and bottom surfaces of the air film when its thickness is 650 nm. For the same wavelength of light the next larger thickness for which there is constructive interference is 910 nm. (a) What is the wavelength l of the light when it is traveling in air? (b) What is the smallest thickness t of the air film for which there is constructive interference for this wavelength of light?arrow_forward
- Figure P24.69 shows d- radio-wave transmitter and a receiver, both h = 50.0 m above the ground and d = 6.00 X 102 m apart. The receiver can receive signals directly from the transmit- ter and indirectly from signals that bounce off the ground. If the ground is level between the transmitter and receiver and a /2 phase shift occurs upon reflection, determine the longest wave- lengths that interfere (a) constructively and (b) destructively. Transmitter Receiver Figure P24.69arrow_forwardA thin layer of liquid methylene iodide (n = 1.756) is sandwiched between two flat, parallel plates of glass (n = 1.50). What is the minimum thickness of the liquid layer if normally incident light with λ = 6.00 × 102 nm in air is to be strongly reflected?arrow_forwardA thin layer of oil with index of refraction no = 1.47 is floating above the water. The index of refraction of water is nw = 1.3. The index of refraction of air is na = 1. A light with wavelength λ = 325 nm goes in from the air to oil and water. Part (a) Express the wavelength of the light in the oil, λo, in terms of λ and no. Part (b) Express the minimum thickness of the film that will result in destructive interference, tmin, in terms of λo. Part (c) Express tmin in terms of λ and no. Part (d) Solve for the numerical value of tmin in nm.arrow_forward
- You are standing in air and are looking at a flat piece of glass (n = 1.52) on which there is a layer of transparent plastic (n = 1.61). Light whose wavelength is 693 nm in vacuum is incident nearly perpendicularly on the coated glass and reflects into your eyes. The layer of plastic looks dark. Find the two smallest possible non-zero values for the thickness of the layer.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_forwardA thin film of glycerin (n = 1.473) of thickness 524 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?arrow_forward
- White light reflects at normal incidence from the top and bottom surfaces of a glass plate 1n = 1.522. There is air above and below the plate. Constructive interference is observed for light whose wavelength in air is 477.0 nm. What is the thickness of the plate if the next longer wavelength for which there is constructive interference is 540.6 nm?arrow_forward= 35. Figure P36.35 shows a radio-wave transmitter and a receiver separated by a distance d 50.0 m and both a distance h = 35.0 m above the ground. The receiver can receive sig- nals both directly from the transmitter and indirectly from signals that reflect from the ground. Assume the ground is level between the transmitter and receiver and a 180° phase shift occurs upon reflection. Determine the longest wave- lengths that interfere (a) constructively and (b) destructively. h Transmitter d Receiver Figure P36.35 Problems 35 and 36.arrow_forwardA glass surface is coated by an oil film of uniform thickness 1.00 x 10-4 cm. The index of refraction of the oil is 1.25 and that of the glass is 1.50. Some of the wavelengths in visible region (400 nm 490 nm) are completely transmitted by the oil film under normal incidence. n x 10 One of the wavelength transmitted completely in visible region is m. Find the value 11 of n.arrow_forward
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