Exam 3b Solutions - l A very far sighted person has a Near...

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Unformatted text preview: l. A very far sighted person has a Near Point of 50 cm in front of the cornea. With corrective lenses, an object 20 cm in front of the cornea comes into sharp focus y “‘1, ich of the following correctly describes the image formed by the corrective lens A t a " L 'A)Upr1ght virtual image f M fiaasgr Inverted virtual image C) Upright real 1mage D) Upright virtual image E) none of these — it's impossible 21 A double slit is illuminated with monochromatic lightof wavelength 6.00 * 102 nm. The m = 0 and m = l bright fringes are separated by 3.0 cm on a screen which is located 4.0 m from the slits. What is the separation between the slits? A) 4.0 * 10-5m 5?: EMNW 6:2” W ngswwgg “w W {K B)?8.0*10“5m {W C) 1.2 * 1041' m D) 1.6 * 104111 E) 2.4 * 104m "5:; $5 kWE gig-“K, 3s What does one observe on the screen in a Young's experiment if white light illuminates the double slit instead of light of a single wavelength? A) a white central fringe and no other fringes B) a dark central fringe and a series of alternating white and dark fringes on each side of the . center I a continuous band of colors with no dark fringes anywhere E) a dark screen since no constructive interference can occur Was- ’Wgr$»%a£%fi&w $1wa ! w é J g L’ s a f i 3“ _ . “L H'L: “PM” f ‘ “sigskfiwas s cg; a , s m ,swas is ,5} «,~ \ i» ; s V a ii «4 Page 1 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. if”? a}; t A) 0.05 nm W t B) 0.50 nm 5000 nm 5. A 400 nm thick film of kerosene (n = 1.2) is floating on water. White light is normally incident on the film. What is the visible wavelength in air that has a maximum intensity after the light is reflected? Note: the visible wavelength range is 380 nm to 750 mm. X ,7 . A) 380 nm a t “““““ . p .. _ ~' ,1 _ _ . ’PM WWW" "”‘ firm?“ 430 nm Mammal... E) 580nm t 6. Light of wavelength 700 0 nm passes through a diffraction grating The m= 0 and m— — 1 l 21;? (fig? 6 {QM bright spots are 6 0 cm apart on a screen positioned 2.0 cm from the grating What IS the V QWWE spacing between the slits in the grating? _ Wm WWW E) 1240 nm Page 2 7. Light of wavelength 600 nm is incident upon a single slit with width 4 * 10‘4 m. The figure shows the pattern observed on a screen positioned 2 m from the slits. Determine the distance S. t). """""" 1:} m»: 150% 1;: J A) 0.002 m ”We 5 W B) 0.003m 515": C 0 004 m :5 5”: D)j>006 m 1:. W E) 0 008 m . . 5 _ 8. A spy satellite is in orbit at a distance of 1.0 * 106 m above the ground. It carries a telescope that can resolve the two rails of a railroad track that are 1.4 m apart using light of wavelength 600 nm. Which one of the following statements best describes the diameter of 1116 16115 111 the LCLCSCOPC? 5-1 5;) 1 25. Z : A) It 18 less than 0.14 m. ©1111-1111 7* 1,... 7 i ‘ ‘ B) It is greater than 0.14 m and less than 0.23 m. i??? C) It is greater than 0.23 m and less than 0.35 m. D It is greater than 0.35 m and less than 0.52 m. ,) . t is greater than 0.52 m. ,1. 5:3” 53’: 1:: 5:: flak iié‘lmmagfiaswmiewm 9. Which one of the following IS a conseguence of the postulates of special relativity? A) There IS no such thing as an inertial reference frame )4 )5 W1) 1111:1555? “vi”; 15 B) Newton‘ 3 laws of motion apply in every reference frame // ”M“ Mflii1 1555' C) Coulomb's law of electrostatics applies 1n any reference frame. 11/ flflwfi C? he question of whether an object is at rest in the universe is meaningless. ’ The value of every physical quantity depends on the reference frame in which it is measured. M” Page 3 10. In a science fiction novel, a starship takes three days to travel between two distant space stations according to its own clocks. Instruments on one of the space stations indicate that the trip took four days. How fast did the starship travel, relative to the space station? @923 * 108 m/s B) 2.24 * 108 m/s C) 2.51 *108m/s D) 2.83 * 108m/s E) 2.99 * 108 m/s 11. Complete the following statement: To measure the proper length of an object moving relative to the surface of the earth, one must note the coordinates of points on the front and back ends A) at the same time with respect to a clock at rest on the earth ) at different times with respect to a clock on the moving object. féfiat the same time with respect to a clock on the moving object .51.” D) at different times with respect to a clock at rest on the earth E) at the samg tlme “nth regnnct tn 9 (‘lnnk moving at fhP camp qnppd mg the surfar‘e wv an; uyv u vv w vnuv My DA V uuALLv ulxvv vv L earth. 12. A spaceship leaves our solar system at a constant speed of 0.9006 and travels to a point in the Andromeda galaxy. According to astronomers in an inertial reference frame on Earth, the distance to the galaxy is 2.081 * 1022 m. What distance does the crew on the ship measure on its journey? WW 1021m B) 9.85 * 1021111 1") ‘.91*1022m D) 2.83 * 1022m E) 4.77 * 1022111 13. Determine the total energy of an electron traveling at 0.986. A) 0.25 MeV B) 0.51 MeV C) 0 76 MeV 1 8 MeV WhMev Use the following to answer question 14. A subatomic particle X spontaneously decays into two particles, A and B, each of rest energy 1.40 * 102 MeV. The particles fly off in opposite directions, each with speed 0.8270 relative to an inertial reference frame S. 14. Use energy conservation to determine the rest energy of particle X. A _ E? A) 206 MeV - 16%; i3... ... B) 249 MeV C) 280 MeV D) 392 MeV {6 W4; @3467 MeV W“ 3‘33 MW... 3*" 2 $.33 Wvéflfi ’ 33333 333 333333333‘\ Fig; straw/ix? it?) am) 15. A laser emits a pulse of light with energy 5 0 * 103 J. Determine the number. of photons in the pulse if the wavelength of light 13 480 nm. A) 5.2 * 1016 'En g” B) 2.5 * 1019 WW ,1 r, - £33333] .2 * 1022 )3 WWW. f D) 3.1 *1022 ,4; E) 81*1024 I X J3 ‘33 gimww '1 is W? Sggwgh~gfi {3.9 :25 a re; a» .s 16. Photons of energy 5.0 eV strike a metal whose work function is 3 5 eV. Determine which one of the following best describes the kinetic energy of the emitted electrons t 3?» w. {5 A) 1:15 eV or less M MMW 3 B) 1.5 eV or more {:3 Eflwm £1. FWQéWA W» is? e C) 2.5 eV or more 3 3 D) 3.5 eV or more 1 E) 3.5 eV or less 3 33.43 3 f /3 f‘}, 9 "3 at”? v rm wrnenwgw Page 5 17. In the Compton scattering experiment shown in the figure, a monochromatic beam of X~ rays strikes a target containing free electrons. Scattered X—rays are detected with a wavelength of 2.50 * 10“12 m at an angle of 450 away from the original beam direction. What is the wavelength of the incident monochromatic X~rays? Note: The mass of an electron is 9.11 * 10-31 kg. scattered X-mgrs W54; H I ”x rmrtochrifimtic unsicattered Y—my beam EEC—rays A) 3.21 * 10-12111 B) 2.86*10-12m . y a“ C) 2.50*10~12m 0' i D) 2.03 * 10"12m @79 * 10‘12m 18. What is the de Broglie wavelength of an electron (m = 9.11 * 10‘31 kg) in a 5.0 * 103 —volt X— ray tube? \ is» I»: . m; , r3 A) 0.007 nm fight 22% ’9' V f 5%; E a: 5 9% if Amwv B) 0.014 nm ’?W-Wm« D) 0-028 nrn V 3" f i , if *3: i y t: f (’r (:5; ° 3! r w? E) 0.034 nm (Stat; * r A XNW f} if? “Wurlmww4w‘v MM 19. The x component of the velocity of an electron(m = 9.11 * 10‘31 kg) is known to be between 100 m/s and 300 m/s. Which one of the following is a true statement concerning the uncertainty in the x coordinate of the electron? A) The maximum uncertainty is about 106 m. fl’mhe minimum uncertainty is about 6 * 10‘7 m. MM C) The maximum uncertainty is about 6 * 10‘7 m. D) The minimum uncertainty is about 3 * 10“36 m. E) The maximum uncertainty is about 3 * 10“36 m. [/MfWIA/‘Wt/WW xiMr‘wM tam/5t 20. In an attempt to identify inelligent life on other galaxies, a powerful radio signal with frequency 100 MHZ is sent from the Earth at midnight on January 1, 2008. Which of the following describes the radio waves that would be measured by observers a galaxy moving away from the Earth at 0 6 c? A) The speed of the radio signal appears to be 0 4 c and the frequency 100 MHZ <2 (J Wangamww B) The speed of the radio signal appears to be 1.6 c and the frequency 100 MHZ”); I a 5““ , p The speed of the radio signal appears to be c and the frequency 100 MHZ w ' ) ) The speed of the radio signal appears to be c and the frequency 60 MHZ The speed of the radio signal appears to be c and the frequency 166 MHZ Ag 1 . 7w” mafia“ we we, We? 2i Determine the wavelength of 1nc1dent electromagnetic radiation required to cause an electron transition from the n= 6 to the n= 8 level in a helium ion with one electron (2:2). *103 nm l 1, 5/ l B) 2.24*103nm 2T R Z <11 m riff; C) 3.47 *103 nm D) 5.91 *103 nm 1 E) 7.55 * 103 nm Page 7 Answer Key - PracticeExam3b Mfw Km legwmw wfirw‘Ew ,,,,,,, “9&1?“ JWAW AAAAA “MC _ ,, (13m; wW’T‘“ E 1 RNQMW W Page 8 ...
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