Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 23.3, Problem 3aTH
Use trigonometry to determine the mathematical relationship between the angle of incidence
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Chapter 23 Solutions
Tutorials in Introductory Physics
Ch. 23.1 - Prob. 1THCh. 23.1 - In the spaces provided belowright, carefully draw...Ch. 23.1 - Prob. 2bTHCh. 23.1 - We begin by considering the forces exerted on a...Ch. 23.1 - Prob. 3bTHCh. 23.1 - Prob. 3cTHCh. 23.1 - Prob. 3dTHCh. 23.1 - Prob. 3eTHCh. 23.1 - Prob. 4THCh. 23.2 - Prob. 1TH
Ch. 23.2 - Prob. 2aTHCh. 23.2 - Prob. 2bTHCh. 23.2 - Prob. 2cTHCh. 23.2 - Prob. 3aTHCh. 23.2 - Prob. 3bTHCh. 23.2 - Prob. 3cTHCh. 23.2 - The figure at right has several errors. How many...Ch. 23.3 - Prob. 1aTHCh. 23.3 - Prob. 1bTHCh. 23.3 - Prob. 1cTHCh. 23.3 - For each of the periodic functions below, indicate...Ch. 23.3 - Prob. 2THCh. 23.3 - Use trigonometry to determine the mathematical...Ch. 23.3 - Starting from the equation that you wrote above,...Ch. 23.3 - Suppose the speed of the refracted wave were half...Ch. 23.3 - Prob. 3dTHCh. 23.4 - A long, thin steel wire is cut in half, and each...Ch. 23.4 - A long, thin steel wire is cut in half, and each...Ch. 23.4 - A long, thin steel wire is cut in half, and each...Ch. 23.4 - Consider an instant when the fields are nonzero at...Ch. 23.4 - How would your answers to parta be different if...Ch. 23.4 - Prob. 3TH
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- The speed of light in a particular medium is 1.24x10^8m/s, What is the refreactive index of this medium? What is a likely identity for this material? Show your work.arrow_forwardA thin beam of white light is directed at a flat sheet of silicate flint glass at an angle of 20° to the surface of the sheet. Due to dispersion in the glass, the beam is spread out in a spectrum as shown in the figure. The refractive index of silicate flint glass versus wavelength is graphed in figure to the right. (a) The rays (A and B) shown in the figure correspond to the extreme wavelengths. Which corresponds to red and which to violet? Explain your reasoning. (b) For what thickness of the glass sheet will the spectrum be 1.0 mm wide, as shown (see Problem 7)? Hint: you must first solve Problem 7 first before doing Problem 8). Answer: 93.5 mmarrow_forwardPARTS (a), (b), AND (c) ALREADY HAVE CORRET ANSWER. PLEASE PROVIDE FORMULA FOR PARD (d) A ray of monochromatic light is incident on the face of a prism in the shape of an equilateral triangle (that is, the apex angle of the prism is 60.0°). The incidence angle of the light ray is 76.6°. The prism is made of a transparent material with an index of refraction of 1.492 (at the light ray's wavelength). (a) Calculate the angle of refraction at the first surface (in degrees). (Round your answer to at least one decimal place.) 40.69° (b) Calculate the angle of incidence at the second surface (in degrees). (Round your answer to at least one decimal place.) 19.31° (c) Calculate the angle of refraction at the second surface (in degrees). (Round your answer to at least one decimal place.) 29.56° (d) Calculate the angle between the incident and emerging rays (in degrees). (Round your answer to at least one decimal place.) ?????°arrow_forward
- Please refer to part (b). Here, theta (the angle the incident ray makes with respect to the vertical) is 50.7 degrees. What is d (the distance between the ray emerging from the bottom of the glass and where the ray would have been if it had continued straight on with no glass to refract it)?arrow_forwardThe diagram at the right shows light refracting from material A into material B. The index of refraction of material A is 2.24. Use your protractor to measure angles and determine the index of refraction of material B. (HINT: The angle measures are multiples of 15 degrees.)arrow_forwardPlease refer to part (a). Here, alpha (the angle at the top of the triangular prism) is 29.7 degrees. What is theta (the angle below the horizontal that the ray makes emerging from the prism on the right)?arrow_forward
- Consider the three diagrams below. Measure the angle of incidence and of refraction (in degrees) for each of the three diagrams.arrow_forwardRead the following problem and solve the following questions. Show your complete solutions legibly and concisely in the space provided. A light is traveling from air into an optic fiber having an index of refraction of 1.44. a. Which direction should the light bend? b. Given a 22 degree angle of incidence on the end of the fiber, what is the angle of refraction inside the fiber? c. Make a sketch of the path of life as the media changes.arrow_forwardPlease help me. What is abstract of Refractive index of water? State the keyword. Introduction of Refractive index of water? (must include define the refraction index, what is the Snell's Law?, and what is the SI unit of the refractive index?)arrow_forward
- If the incident ray at point A is at the critical angle between mediums 2 and 3, does the ray incident at point B refract out of medium 2 into 3? If so, what is the (i) angle of refraction at point B? If not, what is the reflected angle at point B? (ii) Draw an accurate ray diagram at point B. (iii) What is the initial angle θ at point C?arrow_forwardA ray of sunlight is incident from the left (shown in blue in the upper left) upon a spherical water droplet as shown in figure below. The ray, shown making an angle at incident i undergoes a refraction with angle r at the first interface, a reflection at the rear interface, and finally emerging from a second refraction at the lower front interface. find an expression for the total deviation angle for the returned light ray (lower left in blue) from the incident direction of the light ray, as shown in the figure above. Write your expression in terms of radiansarrow_forwardA beam of light travels vertically downward and strikes a horizontal mirror, reflecting directly back vertically upward, as indicated by the black dashed line in the diagram at left. The mirror is now rotated, so that it is 10° away from horizontal, as is the red mirror in the diagram . The incident solid black ray is the same in both cases. a) At what angle from the vertical will the reflected beam (the red dashed arrow) now be seen? b) If the mirror is further rotated until it is 20° from the horizontal, what will be the new angle between the reflected beam and the vertical?arrow_forward
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