Physics 112 Exam 3 Summer 2014 Name_________________ Physics 112 Summer 2014 Exam 3 Monday, July 28 Directions: This 60-minute exam consists of twenty multiple-choice questions. This test is worth 20% of your final grade. (One point is equal to 1% of the final grade.) The questions on this test are not in order of difficulty. You must mark all of your answers on both your test and answer sheet. In marking the multiple choice bubble sheet use a number 2 pencil. Do not use ink. If you did not bring a pencil, ask for one. Fill in the appropriate circles completely. If you need to change any entry, you must completely erase your previous entry. Carefully read each question and its five possible answers. Select one and only one answer for each question. Choose the answer that is closest to the correct one. When you are finished with the exam, return the bubble sheet, the exam itself, and scratch paper that you used for the exam. Good luck! Page 1 of 7 Physics 112 Exam 3 Summer 2014 41. How far are you from your image when you stand 0.75 m in front of a vertical plane mirror? A) 0.75 m B) 1.5 m C) 3.0 m D) 3.75m E) 4.5m 42. The image formed by a plane mirror of a real object is always A) Real, erect, and smaller than the object B) Real, inverted, and the same size as the object C) Real, erect, and the same size as the object D) Virtual, inverted, and larger than the object E) Virtual, erect and the same size as the object 43. The critical angle for a substance is measured at 53.7°. Light enters from air at an angle of 45.0° to the normal. At what angle will it continue? A) 34.7° B) 45.0° C) 53.7° D) 58.2° E) It will not continue, but will be totally reflected. 44. A concave mirror with a radius of 20 cm creates a real image 30 cm from the mirror. What is the object distance? A) 30cm B) 20 cm C) 15 cm D) 7.5 cm E) 5.0 cm Page 2 of 7 Physics 112 Exam 3 Summer 2014 45. When a person stands 40 cm in front of a cosmetic mirror (concave mirror), the erect image is twice the size of the object. What is the focal length of the mirror? A) B) C) D) E) 27 cm 40 cm 80 cm 100 cm 160 cm 46. An object is placed 40 cm in front of a 20 cm focal length converging lens. How far is the image of this object from the lens? A) B) C) D) E) 40 cm 30 cm 20 cm 13 cm 8 cm 47. Radio waves are diffracted by large objects such as buildings, whereas light is not noticeably diffracted. Why is this? A) B) C) D) E) Radio waves are unpolarized, whereas light is plane polarized Radio waves are polarized, whereas light is plane unpolarized Radio waves are coherent and light is usually not coherent The wavelength of light is much greater than the wavelength of radio waves The wavelength of light is much smaller than the wavelength of radio waves 48. A beam of light (f = 5.0 × 1014 Hz) enters a piece of glass (n = 1.5). What is the frequency of the light while it is in the glass? A) B) C) D) E) 5.0 × 1014 Hz 7.5 × 1014 Hz 3.3 × 1014 Hz 1.0 × 1014 Hz 2.5 × 1014 Hz Page 3 of 7 Physics 112 Exam 3 Summer 2014 49. In a Young's double slit experiment, if the separation between the two slits is 0.050 mm and the distance from the slits to a screen is 2.5 m, find the spacing between the first-order and second-order bright fringes for light with wavelength of 600 nm. A) B) C) D) E) 1.5 cm 3.0 cm 4.5 cm 6.0 cm 7.5 cm 50. In a single slit diffraction experiment, if the width of the slit increases, what happens to the width of the central maximum on a screen? A) B) C) D) E) It increases. It decreases. It remains the same. It depends on the distance to the screen. There is not enough information to determine. 51. In order to obtain a good single slit diffraction pattern, the slit width could be: A) B) C) D) E) /100 /10 10 100 52. Two stars that are 15 light-years away are barely resolved by a 55-cm (mirror diameter) telescope. How far apart are the stars? Assume 550 nm and that the resolution is limited by diffraction. (1 light-year = 9.46x1015 m) A) B) C) D) E) 1.3x107 m 1.4x108 m 1.5x109 m 1.6x1010 m 1.7x1011 m Page 4 of 7 Physics 112 Exam 3 Summer 2014 53. A diffraction grating has 5000 lines per cm. The angle between the central maximum and the fourth order maximum is 60°. What is the wavelength of the light? A) B) C) D) E) 138 nm 183 nm 367 nm 433 nm 637 nm 54. What is the minimum thickness of a nonreflecting film coating (n = 1.30) on a glass lens (n = 1.50) for wavelength 500 nm? A) B) C) D) E) 250 nm 192 nm 167 nm 96.2 nm 57.3 nm 55. An ideal polarizer is placed in a beam of unpolarized light and the intensity of the transmitted light is I. A second ideal polarizer is placed in the beam with its preferred direction rotated 40° to that of the first polarizer. What is the intensity of the beam after it has passed through both polarizers? A) B) C) D) E) 0.77I 0.64I 0.59I 0.41I 0.36I 56. A beam of unpolarized light in air strikes a flat piece of glass at an angle of 57.3°. If the reflected beam is completely polarized, what is the index of refraction of the glass? A) B) C) D) E) 1.50 1.52 1.54 1.56 1.58 Page 5 of 7 Physics 112 Exam 3 Summer 2014 57. A near-sighted person has a far point of 20 cm. What lens (in diopters) will allow this person to see distant objects clearly? Assume that the lens is 2.0 cm from the eye (typical for eyeglasses) A) B) C) D) E) + 5.6 D - 5.6 D + 0.056 D - 0.056 D -5.0 D 58. A magnifying glass with a focal length of 8.5 cm is used to read print placed at a distance 7.5 cm. Calculate the angular magnification. A) B) C) D) E) 2.3x 3.3x 4.3x 5.3x 6.3x 59. A person is designing a 10X telescope. If the telescope is limited to a length of 20 cm, what is the approximate focal length of the objective? A) B) C) D) E) 16 cm 17 cm 18 cm 19 cm 20 cm 60. What power lens is needed to correct for farsightedness where the uncorrected near point is 75 cm? A) B) C) D) E) + 2.7 D - 2.7 D + 5.3 D - 5.3 D +6.0 D Page 6 of 7 Physics 112 Exam 3 Summer 2014 Record Sheet You may fill in this sheet with your choices, detach it and take it with you after the exam for comparison with the posted answers 41 51 42 52 43 53 44 54 45 55 46 56 47 57 48 58 49 59 50 60 Page 7 of 7