Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 40, Problem 33SP
!!
To determine
The thickness of the spacer when light is reflected from the upper and the lower surface of the film, which has the fluid of index
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Q.4. The refractive index of a liquid is 1.4104 at 20 °C. Calculate the refractive index of the liquid at 25.2 °C. (Your answer must have 4 places after the decimal)
a)If the refractive index of glass is 1.55 and the refractive index of air is 1.0003, what is the critical angle for total internal reflection at the glass/air interface?
b) If the refractive index of glass is 1.55 and the refractive index of the hydrated ion-selective film is 1.34, what is the critical angle for total internal reflection at the glass/film interface?
The critical angle for total internal reflection at a liquid-air interface is 42.5◦.at. If a ray of light traveling in the liquid has an angle of incidence at the interface of 35◦,what angle does the ray refracted in air make with the normal?b. If a ray of light traveling through air has an angle of incidence at the interfaces of 35◦, what angle does the ray refracted in the liquid make with the normal?
Chapter 40 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 40 - 40.16 [I] Considering Young’s experiment using...Ch. 40 - Prob. 17SPCh. 40 - Prob. 18SPCh. 40 - Prob. 19SPCh. 40 - Prob. 20SPCh. 40 - 21. Suppose we have Young’s double-slit setup with...Ch. 40 - Prob. 22SPCh. 40 - Prob. 23SPCh. 40 - Prob. 24SPCh. 40 - 40.25 [II] Two sound sources send identical waves...
Ch. 40 - Prob. 26SPCh. 40 - 40.27 [I] A double-slit experiment is done in the...Ch. 40 - 40.28 [I] In Problem 40.27, if the slit-to-screen...Ch. 40 - 40.29 [I] Red light of wavelength 644 nm, from a...Ch. 40 - 40.30 [I] Two flat glass plates are pressed...Ch. 40 - Prob. 32SPCh. 40 - Prob. 33SPCh. 40 - Prob. 34SPCh. 40 - 40.35 [II] Green light of wavelength 500 nm is...Ch. 40 - 40.36 [II] A narrow beam of yellow light of...Ch. 40 - 40.37 [II] Blue light of wavelength m is...Ch. 40 - 40.38 [II] Determine the ratio of the wavelengths...Ch. 40 - 40.39 [II] A spectrum of white light is obtained...Ch. 40 - Prob. 40SPCh. 40 - Prob. 41SP
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- A 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_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_forwardThe index of refraction for water is about 43. What happens as a beam of light travels from air into water? (a) Its speed increases to 43c, and its frequency decreases. (b) Its speed decreases to 34c, and its wavelength decreases by a factor of 34. (c) Its speed decreases to 34c, and its wavelength increases by a factor of 43. (d) Its speed and frequency remain the same. (e) Its speed decreases to 34c, and its frequency increases.arrow_forward
- Figure P36.95 shows a thin converging lens for which the radii of curvature of its surfaces have magnitudes of 9.00 cm and 11.0 cm. The lens is in front of a concave spherical mirror with the radius of curvature R = 8.00 cm. Assume the focal points F1 and F2 of the lens are 5.00 cm from the center of the lens, (a) Determine the index of refraction of the lens material. The lens and mirror are 20.0 cm apart, and an object is placed 8.00 cm to the left of the lens. Determine (b) the position of the filial image and (c) its magnification as seen by the eye in the figure. (d) Is the final image inverted or upright? Explain.arrow_forwardLight traveling in a medium of index of refraction n1 is incident on another medium having an index of refraction n2. Under which of the following conditions can total internal reflection occur at the interface of the two media? (a) The indices of refraction have the relation n2 n1. (b) The indices of refraction have the relation n1 n2. (c) Light travels slower in the second medium than in the first. (d) The angle of incidence is less than the critical angle. (e) The angle of incidence must equal the angle of refraction.arrow_forwardThe object in Figure P23.52 is mid-way between the lens and the mirror, which are separated by a distance d = 25.0 cm. The magnitude of the mirrors radius of curvature is 20.0 cm, and the lens has a focal length of 16.7 cm. (a) Considering only the light that leaves the object and travels first toward the mirror, locate the final image formed by this system. (b) Is the image real or virtual? (c) Is it upright or inverted? (d) What is the overall magnification of the image? Figure P23.52arrow_forward
- Consider a light ray that enters a pane of glass with air on one side and water on the other side as shown in Figure P38.21. The light ray experiences refraction at the first interface when it enters the glass from the water and again at the second interface when it exits the glass into the air. Assume the index of refraction of the glass is 1.54. For a ray of light, find the angle of incidence 1 in the water such that the ray experiences total internal reflection when it strikes the glassair interface on the other side. FIGURE P38.21arrow_forwardThe object in Figure P23.52 is mid-way between the lens and the mirror, which are separated by a distance d = 25.0 cm. The magnitude of the mirrors radius of curvature is 20.0 cm, and the lens has a focal length of 16.7 cm. (a) Considering only the light that leaves the object and travels first toward the mirror, locate the final image formed by this system. (b) Is the image real or virtual? (c) Is it upright or inverted? (d) What is the overall magnification of the image? Figure P23.52arrow_forwardLight 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_forward
- What happens to a light wave when it travels from air into glass? (a) Its speed remains the same. (b) Its speed increases. (c) Its wavelength increases. (d) Its wavelength remains the same. (e) Its frequency remains the same.arrow_forwardThe radii of curvature of the faces of a double convex lens are 10 cm and 15 cm. Its focal length is 12 cm. What is the refractive index of glass?arrow_forward
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