Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 36, Problem 46CP
To determine
The radius of the 100 th
bright rings.
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A plano-convex lens having a radius of curvature of r = 4.00 m is placed on a concave glass surface whose radius of curvature is R = 12.0 m as shown in Figure P36.46. Assuming 500-nm light is incident normal to the flat surface of the lens, determine the radius of the 100th bright ring.
Chapter 36 Solutions
Physics for Scientists and Engineers
Ch. 36.2 - Which of the following causes the fringes in a...Ch. 36.3 - Using Figure 36.6 as a model, sketch the...Ch. 36.5 - One microscope slide is placed on top of another...Ch. 36 - Two slits are separated by 0.320 mm. A beam of...Ch. 36 - Why is the following situation impossible? Two...Ch. 36 - A laser beam is incident on two slits with a...Ch. 36 - In a Youngs double-slit experiment, two parallel...Ch. 36 - Light of wavelength 620 nm falls on a double slit,...Ch. 36 - Light with wavelength 442 nm passes through a...Ch. 36 - A student holds a laser that emits light of...
Ch. 36 - A student holds a laser that emits light of...Ch. 36 - Coherent light rays of wavelength strike a pair...Ch. 36 - In Figure P36.10 (not to scale), let L = 1.20 m...Ch. 36 - You are working in an optical research laboratory....Ch. 36 - You are operating a new radio telescope that has...Ch. 36 - In the double-slit arrangement of Figure P36.13, d...Ch. 36 - Monochromatic light of wavelength is incident on...Ch. 36 - Prob. 15PCh. 36 - Show that the distribution of intensity in a...Ch. 36 - Green light ( = 546 nm) illuminates a pair of...Ch. 36 - Monochromatic coherent light of amplitude E0 and...Ch. 36 - A material having an index of refraction of 1.30...Ch. 36 - A soap bubble (n = 1.33) floating in air has the...Ch. 36 - A film of MgF2 (n = 1.38) having thickness 1.00 ...Ch. 36 - An oil film (n = 1.45) floating on water is...Ch. 36 - When a liquid is introduced into the air space...Ch. 36 - You are working as an expert witness for an...Ch. 36 - Astronomers observe the chromosphere of the Sun...Ch. 36 - A lens made of glass (ng = 1.52) is coated with a...Ch. 36 - Mirror M1 in Figure 36.13 is moved through a...Ch. 36 - Radio transmitter A operating at 60.0 MHz is 10.0...Ch. 36 - In an experiment similar to that of Example 36.1,...Ch. 36 - In the What If? section of Example 36.2, it was...Ch. 36 - Two coherent waves, coming from sources at...Ch. 36 - Raise your hand and hold it flat. Think of the...Ch. 36 - In a Youngs double-slit experiment using light of...Ch. 36 - Review. A flat piece of glass is held stationary...Ch. 36 - Figure P36.35 shows a radio-wave transmitter and a...Ch. 36 - Figure P36.35 shows a radio-wave transmitter and a...Ch. 36 - In a Newtons-rings experiment, a plano-convex...Ch. 36 - Measurements are made of the intensity...Ch. 36 - A plano-concave lens having index of refraction...Ch. 36 - Why is the following situation impossible? A piece...Ch. 36 - Interference fringes are produced using Lloyds...Ch. 36 - A plano-convex lens has index of refraction n. The...Ch. 36 - Prob. 43APCh. 36 - Prob. 44APCh. 36 - Astronomers observe a 60.0-MHz radio source both...Ch. 36 - Prob. 46CPCh. 36 - Our discussion of the techniques for determining...Ch. 36 - The condition for constructive interference by...Ch. 36 - Both sides of a uniform film that has index of...Ch. 36 - Slit 1 of a double-slit is wider than slit 2 so...
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- How many times will the incident beam in Figure P34.33 (page 922) be reflected by each of the parallel mirrors? Figure P34.33arrow_forwardAn object is placed a distance of 10.0 cm to the left of a thin converging lens of focal length f = 8.00 cm, and a concave spherical mirror with radius of curvature +18.0 cm is placed a distance of 45.0 cm to the right of the lens (Fig. P38.129). a. What is the location of the final image formed by the lensmirror combination as seen by an observer positioned to the left of the object? b. What is the magnification of the final image as seen by an observer positioned to the left of the object? c. Is the final image formed by the lensmirror combination upright or inverted? FIGURE P38.129arrow_forwardA plano-convex lens has index of refraction n. The curved side of the lens has radius of curvature R and rests on a flat glass surface of the same index of refraction, with a film of index nflim between them, as shown in Figure P36.42. The lens is illuminated from above by light of wavelength . Show that the dark Newtons rings have radii given approximately by r=mRnfilm where r R and m is an integer. Figure P36.42arrow_forward
- Light is incident on a prism as shown in Figure P38.31. The prism, an equilateral triangle, is made of plastic with an index of refraction of 1.46 for red light and 1.49 for blue light. Assume the apex angle of the prism is 60.00. a. Sketch the approximate paths of the rays for red and blue light as they travel through and then exit the prism. b. Determine the measure of dispersion, the angle between the red and blue rays that exit the prism. Figure P38.31arrow_forwardFigure P23.28 shows a curved surface separating a material with index of refraction n1 from a material with index n2. The surface forms an image I of object O. The ray shown in red passes through the surface along a radial line. Its angles of incidence and refraction are both zero, so its direction does not change at the surface. For the ray shown in blue, the direction changes according to n1 sin 1 = n2 sin 2. For paraxial rays, we assume 1 and 2 are small, so we may write n1 tan 1 n2 tan 2. The magnification is defined as M = h/h. Prove that the magnification is given by M = n1q/n2p. Figure P23.28arrow_forwardCurved glassair interfaces like those observed in an empty shot glass make it possible for total internal reflection to occur at the shot glasss internal surface. Consider a glass cylinder (n = 1.54) with an outer radius of 2.50 cm and an inner radius of 2.00 cm as shown in Figure P38.105. Find the minimum angle i such that there is total internal reflection at the inner surface of the shot glass. FIGURE P38.105 Problems 105 and 106.arrow_forward
- Figure P38.43 shows a concave meniscus lens. If |r1| = 8.50 cm and |r2| = 6.50 cm, find the focal length and determine whether the lens is converging or diverging. The lens is made of glass with index of refraction n = 1.55. CHECK and THINK: How do your answers change if the object is placed on the right side of the lens? FIGURE P38.43arrow_forwardA person looking into an empty container is able to see the far edge of the containers bottom, as shown in Figure P22.23a. The height of the container is h, and its width is d. When the container is completely filled with a fluid of index of refraction n and viewed from the same angle, the person can see the center of a coin at the middle of the containers bottom, as shown in Figure P22.23b. (a) Show that the ratio h/d is given by hd=n214n2 (b) Assuming the container has a width of 8.00 cm and is filled with water, use the expression above to find the height of the container.arrow_forward
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