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Exam 3a Solutions

# Exam 3a Solutions - Use the following to answer question 1...

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Unformatted text preview: Use the following to answer question 1. An object is placed 20.0 cm from a converging lens with focal length 15 cm. A concave mirror with focal length 10 cm is located 75 cm to the right of the lens as shown in the ﬁgure. Note: The ﬁgure is not drawn to scale. T5 cmWW—WF 11] cm' 1. Determine the location of the ﬁnal image. A) 48 cm to the right of the lens B) 96 cm to the right of the lens 30 cm to the left of the mirror D) 0.225 cm to the left of the mirror E) 0.225 cm to the right of the mirror 2. A very far sighted person has a Near Point of 42 cm in front of the cornea. With corrective lenses, an object 22 cm in front of the cornea comes into sharp focus. If the lens is 2 cm in front of the cornea, what is the focal length of the corrective lens? A) 2 cm it“? B) 10 cm ”‘ L C 20 cm i ) 40 cm x ME) 42cm away Page 1 3. Which one of the following statements best explains why interference patterns are not usually observed for light from two ordinary light bulbs? i i A) Diffraction effects predominate. The two sources are out of phase. 1 two sources are not coherent. W13) The interference pattern is too small to observe. E) Light from ordinary light bulbs is not polarized. 4. Light is incident on two slits that are separated by 0.2 mm. The ﬁgure shows the resulting interference pattern observed on a screen 1.0 m from the slits. Determine the wavelength of light used in this experiment. A) 0.05nm B) 0.50 mm C 50nm “a D 500nm E) 5000 nm :7: sows” W 0% My Use the following to answer question 5. The ﬁgure shows the interference pattern obtained in a double~slit experiment using light of wavelength 600 nm. gig Central bright fringe Page 2 5. Which one of the following phenomena would be observed the distance between the slits aware moreqsed? _ ,_ WW”? I W “@W‘j WwV/Q“ MA)MThe"‘fringes‘wwld become brighter. 3 a > 'i WE) The central bright fringe would change position. ' ' ~ C) The distance between dark fringes would increase. The distance between bright fringes would increase. The angular separation between the dark fringes would decrease. ‘ “i ‘ gﬁfjlx ‘ t I . n, V _ , t” “of, _ “in” 6. A lens that has an index of refraction of 1.61 is coated with a non—reﬂective coating that has an index of refraction of 1.45. Determine the minimum thickness for the film if it is to be non—reﬂecting for light of wavelength 5.60 * 102 nm. A) 1.93 *10'7 m B) 3.86 *10~7m g c) 4.83*10”8m 7‘ lg 9.66 *10-8m i 8.69 *10—8 m i“ i L " W a7; ‘“ Cf «23.5.9 mac 7. Light of wavelength 625 nm shines through a single slit of width 0320 mm and forms a diffraction pattern on a ﬂat screen located 8.00 m away. Determine the distance between the middle of the central bright fringe and the ﬁrst dark fringe. A) 0.156 cm 1:; B) 0.516 cm k <§§§156 cm ‘v is D) 5.16 cm E) 6.51 cm i N} M 2 8. The Hubble Space Telescope in orbit above the Earth has a 2.4 m circular aperture. The telescope has equipment for detecting ultraviolet light. What is the minimum angular separation between two objects that the Hubble Space Telescope can resolve in ultraviolet light of wavelength 95 nm? . 48* 10—8“ 1:“; . .. B) 70* 10*8 rad C) 1.9 * 10*7 rad . >3: —7 it i 1‘ D) 1.5 10 rad r~ E) 3.3 * 10-9 rad Page 3 C) a train rounding a turn at constant speed 5...... D) an orbiting space station {W WMMQMW E) a rotating merry~go~round.;j:;w 10. In the year 2100, an astronaut wears an antique, but accurate, “quartz” wristwatch on a journey at a speed of 2.0 * 108 m/s. According to mission control in Houston, the trip lasts 12 hours. How long was the trip as measured on the watch? Em} mg; ‘ .7 hr “W h ) 8.9 hr ~ C) 12.0 hr t2” ” D) 16.1hr [ﬁwvﬂw ‘w E) 21.6 hr a if” 11. A meter stick is observed to be only 0.900 meters long to an inertial ebserver. “At What speed, relative to the observer, must the meter stick be moving? A) 0.44*108m/s B) 057* 108n1/s C) 0.95 * 108 m/s ‘ >1< 8 @131 10 m/s E) 2.70*108m/s if oi E 5%“ "' 12. Determine the speed at which the kinetic energy of an electron is equal to twice its rest energy. A) 0.456 B) 0.636 p) 0.870 @094c E) 0.99c Page 4 Use the following to answer question 13. The figure shows a side View of a galaxy that is 50.0 light years in diameter. This value for the diameter is its proper length. A spaceship enters the galactic plane with speed 0.9950 relative to the galaxy. Assume that the galaxy can be treated as an inertial reference frame. Note: A light year is the distance that light travels through vacuum in one year; that is, 1 light year = c * (1 year). galaxy 0.995: 13. How long does it take the spaceship to cross the galaxy according to a clock on board the s aceship? m . . l .02 Years 1 M Gm" Wigwiw MW B) 12.5 years C) 49.8 years D) 50.3 years E) 90.0 years RA... 4““ [a .2 w“ \ ‘ W» W x \. a?! a r- \ E J a .. C .7 ~ ‘4 2 am 7W as \s Marx 14. A 200 gm baked potato with the works provides about 430 Realm l;~8xl06» ~Jdules when comletely digested (carbohydrates are converted to simpler molecular products). What is the change in mass as the food is converted into simpler products? A) Zero — there is no change in mass /’ CE): 2X10-10 l r s ‘ it" s ’ C) lgm Zﬁtay w B) 200 gm Win f; 2.. E) 1.8x1018gm Page 5 15. A laser emits a single, 2.0«ms pulse of light that has a frequency of 2.83 * 1011 Hz and a total power of 75 000 W. How many photons are in the pulse? {gig-“1023 ;., e . r = B) 1.6"‘1024 C) 2.4*1025 D) 3.2*1025 E) 4.0*1026 16. Photons of What minimum frequency are required to remove electrons from gold? Note: The work function for gold is 4.8 6V. A) 7.3 *1014 Hz ﬂaws) Ethan Mg, .5” ,5 (ED; * 1015 Hz C) 3.8 *1017 Hz M77 “a D) 6.5 * 1015 Hz s 25m was 6 E) 4.6*1014Hz 17. In the Compton effect, a photon of wavelength 7» and frequencyf hits an electron that is initially at rest. Which one of the following occurs as a result of the collision? A) The photon is absorbed completely. B) The photon gains energy, so the ﬁnal photon has a frequency greater than f: "i C The photon gains energy, so the ﬁnal photon has a wavelength greater than A. g/ ) The photon loses energy, so the ﬁnal photon has a frequency less than f. M The photon loses energy, so the final photon has a wavelength less than 9». ‘5“ 18. What is the kinetic energy of each electron in a beam of electrons if the beam produces a 9i. diffraction pattern of a crystal which is similar to that of a beam of 1.00 eV neutrons? C) 3.35 * 106w D) 5.46 * 10“4eV E) 2.34 * 10-2 eV X/lf m: S” V it”, 1“} l W l” (,3: if? “ 19. 20. We {migrwww/ Zip: t? my /’3 The position of a hydrogen atom (m = 1.7 * 10’27 kg) is known t Within 2.0 >x= 10—6 In What is the minimum uncertainty in the atom's velocity? “W” A) zero m/s A X A? 55%: Wﬂgﬁ B) 00085 m/s 4 “a c) 0.011m/s ’57", 120‘er 2‘ a t m D 0.016 m/s _ W AW a Q Qith g 0 Which one of the following will result in an electron transition from the n = 4 level to the n = 7 level in a hydrogen atom? I A) emission of a 0.28 eV photon ‘ p . . a; a .v ,2 , a - .- f B) emiss1on of a 0.57 eV photon W g C) absorption of a 0.85 eV photon D) absorption of a 0.28 eV photon bSOrption ofa 0.57 eV photon w M if}? f _ r, W \ ~ “ i ' k t” a at Page 7 Answer Key — PracticeExamSa Page 8 ...
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Exam 3a Solutions - Use the following to answer question 1...

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