Quantum Physics

Answers to Quick Quizzes, Odd-Numbered Conceptual Questions and Problems A.27PROBLEMS1. 1.58 cm3. (a) 2.6 mm (b) 2.62 mm5. (a) 36.2° (b) 5.08 cm (c) 5.08 10 14 Hz7. (a) 55.7 m (b) 124 m9. 75.0 m11. 11.3 m13. 148 m15. 91.9 nm17. 550 nm19. 0.500 cm21. (a) 238 nm (b) will increase (c) 328 nm23. 4.35 m25. 4.75 m27. No, the wavelengths intensified are 276 nm, 138 nm,92.0 nm, . . .29. 4.22 mm31. (a) 1.1 m (b) 1.7 mm33. 1.20 mm, 1.20 mm35. (a) 479 nm, 647 nm, 698 nm (b) 20.5°, 28.3°, 30.7°37. 5.91° in first order; 13.2° in second order; and26.5° in third order39. 44.5 cm41. 9.13 cm43. (a) 25.6° (b) 19.0°45. (a) 1.11 (b) 42.0°47. (a) 56.7° (b) 48.8°49. 31.2°53. 6.89 units55. (a) 413.7 nm, 409.7 nm (b) 8.6°57. 0.156 mm59. 2.50 mm61. Any positive integral multiple of 210 nm63. (a) 16.6 m (b) 8.28 m65. 127 m67. 0.350 mm69. 115 nmChapter 25QUICK QUIZZES1. (c)2. (a)CONCEPTUAL QUESTIONS1. The observer is not using the lens as a simple magnifier.For a lens to be used as a simple magnifier, the object distancemust be less than the focal length of the lens. Also,a simple magnifier produces a virtual image at the normalnear point of the eye, or at an image distance of aboutq 25 cm. With a large object distance and a relativelyshort image distance, the magnitude of the magnificationby the lens would be considerably less than one. Mostlikely, the lens in this example is part of a lens combinationbeing used as a telescope.3. The image formed on the retina by the lens and cornea isalready inverted.5. There will be an effect on the interference pattern—itwill be distorted. The high temperature of the flame willchange the index of refraction of air for the arm of theinterferometer in which the match is held. As the indexof refraction varies randomly, the wavelength of the lightin that region will also vary randomly. As a result, theeffective difference in length between the two arms willfluctuate, resulting in a wildly varying interferencepattern.7. Large lenses are difficult to manufacture and machinewith accuracy. Also, their large weight leads to sagging,which produces a distorted image. In reflecting telescopes,light does not pass through glass; hence, problemsassociated with chromatic aberrations are eliminated.Large-diameter reflecting telescopes are also technicallyeasier to construct. Some designs use a rotating pool ofmercury as the reflecting surface.9. In order for someone to see an object through a microscope,the wavelength of the light in the microscope mustbe smaller than the size of the object. An atom is muchsmaller than the wavelength of light in the visible spectrum,so an atom can never be seen with the use of visiblelight.11. farsighted; convergingPROBLEMS1. 30.0 cm beyond the lens, M 1/53. 177 m5. f/1.47. f/8.09. 40.0 cm11. 23.2 cm13. (a) 2.00 diopters (b) 17.6 cm15. 17.0 diopters17. (a) 5.8 cm (b) m 4.319. (a) 4.07 cm (b) m 7.1421. (a) M 1.22 (b) / 0 6.0823. 2.1 cm25. m 11527. f o 90 cm, f e 2.0 cm29. (b) fh/p (c) 1.07 mm31. (a) m 1.50 (b) m 1.9033. 492 km35. 0.40 rad37. 9.1 10 7 km39. 9.8 km41. No. A resolving power of 2.0 10 5 is needed, and thatavailable is only 1.8 10 5 .43. 50.4 m45. 4047. 98 fringe shifts49. (a) 2.67 diopters (b) 0.16 diopter too low51. (a) 44.6 diopters (b) 3.03 diopters53. (a) 1.0 10 3 lines (b) 3.3 10 2 lines55. m 10.757. (a) m 4.0 (b) m 3.0Chapter 26QUICK QUIZZES1. (a)2. No. From your perspective you’re at rest with respect tothe cabin, so you will measure yourself as having yournormal length, and will require a normal-sized cabin.3. (a), (e); (a), (e)4. (a) False (b) False (c) True (d) False5. (a)