S09 - Exam 3(1)

S09 - Exam 3(1) - Physics 116B – Spring 2009 – Exam #3...

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Unformatted text preview: Physics 116B – Spring 2009 – Exam #3 Name: • You have 90 minutes to complete the exam. • You may not leave the room after you start the exam. • Only calculators, pens/pencils, and your one-page formula sheet are allowed on your desk. No additional scrap paper. • All electronic devices (other than calculators) must be put away, and cell phones must be silenced (not set to vibrate). I pledge my honor that I have neither given nor received aid on this work. 1 Scores: MC /24 #13 /10 #14 /10 Raw /44 MULTIPLE CHOICE. Choose the one response that best completes the statement or answers the question. Write your answer in the blank space at the right. (2 points each) 1. If the electric field in a plane electromagnetic wave in vacuum is given by E0 sin 1. 3 × 106 m−1 x − ωt , the value of ω is: A) 0.01 rad/s B) 10 rad/s C) 100 rad/s D) 9 × 1014 rad/s E) 9 × 1016 rad/s 2. An electromagnetic wave is transporting energy in the negative y direction. At one point and one instant the magnetic field is in the positive x direction. The electric field at that point and instant is: 2. A) positive y direction B) negative y direction C) positive z direction D) negative z direction E) negative x direction 3. A sinusoidal electromagnetic wave with an electric field amplitude of 100 V/m is incident normally on a surface with an area of 1 cm2 and is completely absorbed. The energy absorbed in 10 s is: A) 1.3 mJ B) 13 mJ C) 27 mJ D) 130 mJ E) 270 mJ 2 3. :# -.)'.( ;# =B1! ?# (+(& +, 0%&1& .(14 ? @C# $%& 4. The diagram shows6.11.8& +, .of a ray of light from.'- '(0+ into a substance X. The )'.8-.= 1%+D1 0%& the passage -.> +, 7'8%0 ,-+= the air . 12310.(/& E# $%& '()&* 4. +, 4. indexdiagram shows the is: The of refraction of X passage of a ray of light from the air into a substance X. The 4. -&,-./0'+( +, E '14 index of refraction of X is: !!!! !!!! !!!! ! !!!! !! !!!!!! FA! !!! !!!! !! ! !!!!!!! !!!!!!!!!!!!!!!!!! !A !!!! !!!!! !! ! ! !!! !! ! ! ! !! !!! !! !! !!!!!!!!!!!!! HA! !!! ! !! !! !! !! !!! ! !!!!!!!!!!! !!!!!!!!!! !! ! !!! ! !! GA !!!! !! 5# 9# :# ;# ?# A!!I A!JJ C!" G!G I!A .(14 .'E A) 0.53 A) 2.2 B) 0.88 B) 0.53 C) 1.9 C) 3.0 D) 2.2 D) 0.88 E) 1.9 E) : 3.0 5. The illustration shows total internal reflection taking place in a piece of glass. The !"# $%& '(()*+,-+'./illustration shows total ,&!&1+'./reflection 4(-1& '/place in a .5 3(-**# glass. '/6&7 .5 5. 5. The *%.0* +.+-( '/+&,/-( internal +-2'/3 taking - 4'&1& piece of $%& The 5. index of refraction of this glass: ,&5,-1+'./ .5 +%'*of refraction of this glass: index 3(-**8 !!!!!!! ! !!! ! !!!!! ! !!!!!!!! !!!!! !!!!!!!!!!!!!!!! !!!!! ! ! ! ! !!!!!!!!!! ! 9: !! ! !!! !!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!!!!!!!!!! !!! ! !!!! !!!! !!!!! !!!! !!!! !!! !!! !!! !!!!! !!! !!! !! !! !!!!! ! !! ! ! ! ! !! !! ! !!! -', ! !!!!!!! ! !! !!!!!!! !! ! ! ! !!!!!!! !! ! !! !!!!!!! ! 3(-** !!!! !!!!!!! ! ! !!!!! ! !! ! ! ! ! ! !! ! !! ! ! ! !! ! !! ! !! !! ! !!!! ! ! !!! !! ! ! ;# =# ?# B# C# A) is at most 2.0 !"#$%&' (() *+*!,-./012*,3! 405*6 A) is at least 2.0 '* -+ (&-*+ <!: at most 1.15 B) is B) '* -+ >.*+ <!is at most 2.0 C) : at least 2.0 is C) @A '* -+ (&-*+ @!is at least 1.15 D) is at least 1.15 '* -+ >.*+ @!is at most 1.15 D) @A E) cannot be calculated from the data given 1-//.+ D& 1-(1)(-+&6 5,.> +%& 3'E&/ the data given E) cannot be calculated from 6-+-/*8 ? "#$ !A# $%& 1,'+'1-( -/3(& 5., +.+-( '/+&,/-( ,&!&1+'./ -+ - 6'->./6F-', '/+&,5-1& '* <A! # G)44.*& ('3%+ 6. An object is 2 m in front of a plane mirror. Its image is: 6. '* '/1'6&/+ -+ -/ -/3(& .5m in front of /.,>-(#mirror. '/+&,/-( ,&!&1+'./ 0'(( .11), '5 +%& '/1'6&/+ 6. 6. An object is 2 ! 0'+% +%& a plane $.+-( Its image is: >&6')> '*8 A) real erect, and the same size as you A) real, erect, and smaller than you ;# -', -/6 ! B) <A! erect, and smaller than you H real, =# -', -/6 !B) <A! erect, and the same size as you " real C) virtual, erect, and the same size as you ?# -', -/6 !C) <A! # virtual, erect, and smaller than you D) virtual, erect, and smaller than you B# 6'->./6D) virtual, erect, and the same size as you -/6 ! # <A! E) real, inverted, and the same size as you C# 6'->./6 E) real, inverted, and the same size as you -/6 ! " <A! -/*8 C !9# I5 $!"#$% H @!A: -/6 $&'"(( H @!JJK +%&/ +.+-( '/+&,/-( ,&!&1+'./ -+ -/ '/+&,5-1& D&+0&&/ +%'* 3(-** -/6 0-+&,8 3 3 ;# .11),* 0%&/&E&, +%& ('3%+ 3.&* 5,.> 3(-** +. 0-+&, =# .11),* 0%&/&E&, +%& ('3%+ 3.&* 5,.> 0-+&, +. 3(-** 7. A point source is to be used with a concave mirror to produce a beam of parallel light rays. The source should be placed: 7. A) as close to the mirror as possible B) at the center of curvature C) midway between the center of curvature and the focal point D) midway between the center of curvature and the mirror E) midway between the focal point and the mirror 8. In a cinema, a picture 2.5 cm wide on the film is projected by a single lens to an image 3.0 m wide on a screen that is 18 m away. The focal length of the lens is about: 8. A) 7.5 cm B) 10 cm C) 12.5 cm D) 15 cm E) 20 cm 9. Waves from two slits are in phase at the slits and travel to a distant screen to produce the third side maximum of the interference pattern (third from the central maximum). The difference in the distance traveled by the waves is: 9. A) half a wavelength B) a wavelength C) three halves of a wavelength D) wavelengths E) three wavelengths 10. One of the two slits in a double-slit experiment is painted over so that it transmits only one-half the intensity of the other slit. As a result: A) the fringe system disappears B) the bright fringes get brighter and the dark ones get darker C) all fringes get dimmer D) the dark fringes just get brighter E) the dark fringes get brighter and the bright fringes get darker 4 10. 11. 11. 11. Three experiments involving a thin film (in the air) are shown below. If t denotes the 11. Three experiments involving a thin film (in the air) are shown below. If t denotes the 11. film thickness and λ denotes the wavelength of the light in the film, which experiments thickness and λ denotes the wavelength of the light in the film, which experiments film will produce constructive interference as seen by the observer? The incident light is will produce constructive interference as seen by the observer? The incident light is !"# $%&'' '()'&*+',-. *,/01/*,2 3 -%*, !1+ 4*, 3*&5 3&' .%06,# 78 ! 9',0-'. -%' !1+ -%*:;,'.. 3,9 $%&'' '()'&*+',-. *,/01/*,2 3 -%*, !1+ 4*, 3*&5 3&' .%06,# 78 ! 9',0-'. -%' !1+ -%*:;,'.. 3,9 nearly normal to the surface. !"# nearly normal to the surface. ! 9',0-'. -%' (1) You don’t08 -%'to know the index of6%*:% '()'&*+',-. 6*11(2) Total energy 9',0-'. -%' (1) You don’t08 -%'to know the index of6%*:% '()'&*+',-. 6*11(2) Total energy Hints: 63/'1',2-% need 1*2%- *, -%' !1+< refraction for the film. )&09=:' :0,.-&=:-*/' ! Hints: 63/'1',2-% need 1*2%- *, -%' !1+< refraction for the film. )&09=:' :0,.-&=:-*/' has be conserved, 0>.'&/'&@ $%' *,:*9',- 1*2%- transmitted light, -0 vice versa. *,-'&8'&',:'to be.'', >? -%'so more reflected light means less*. ,'3&1? ,0&+31 and-%' .=&83:'# has 3. conserved, 0>.'&/'&@ $%' light means less transmitted light, and vice versa. *,-'&8'&',:'to3. .'', >? -%'so more reflected *,:*9',- 1*2%- *. ,'3&1? ,0&+31 -0 -%' .=&83:'# *,:*9',- 1*2%*,:*9',- 1*2%! ! ! ! !! ! ! " !! " !!! !!! !! !!! !!! ! !!!! !!!! !!! !!!! ! !!! !!!! !!! !!!! !!!! ! !! !!!!! !!! ! !!! !!!!!! !!!!!! !! !!!! !!!! !!! ! !!! ! !!! !!! ! ! !!! !!! ! ! !!! !!! ! !!! !!! !!! ! ! !!! !!! ! ! !!! !!! ! ! !!! !!! ! !! !!!! !!!! !!! !! !!! !! !!!!!!!! !!!!!! !! !! !!!!!!!!! !!!!!!!!! !!!!! !!! ! ! ! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!! !!!!!!!!! ! A B!"C ! A B!"C 7 7 E# E# F# F# G# G# H# H# I# I# '?' '?' ! ! *,:*9',- 1*2%*,:*9',- 1*2%! ! !!!! !!! ! !!! !!! !!! ! !!!! !! ! !!!! !!!! !!! !!!! ! !!! !!!! ! ! !! ! !!!!! !!! ! !!!!!! ! !!!!! !! ! !!!! !!! !!! !! ! !!! !!! ! ! !!! !!! ! ! !!! !!! ! !!! !!! !!! ! ! !!! !!! ! ! !!! !!! ! ! !!! !!! ! '?' '?' ! ! !!! !!! ! !!! !! !!! !! !!!!!!!! !!!!!! !! ! ! !! !!!!!!!!! !!!!!!!!! !!!!! !!!! ! ! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! ! A !!"D ! A !!"D 77 77 *,:*9',- 1*2%*,:*9',- 1*2%! ! ! !!!! !!!! !!! !!!! ! !!! !!!! !!! !!!! !!!! !!!! !!!! !!! ! !!!! ! !! !!!!! !!!! ! !!!!!! !!!!!! !!!! !! !!! !! ! !!! !!! ! ! !!! !!! ! ! !!! !!! ! !!! ! !!! !!! ! !!! !!! ! ! !!! !!! ! ! !!! !!! !! ! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!! !!!!!!!!! !!!!!!!!! ! A !"D ! A !"D !! ! !!!!! !!!!!! !!!!!!!!! ! !!!!!! !!!!!!!!! !! !!!!!!!! ! !!! !! !!! ! !!!! !!! ! 777 777 '?' '?' A) 7 0,1? I only 7 0,1? I only A) 77 0,1? II only III only 0,1? 77 B) II and III only B) and 777 0,1? 777 0,1? III only C) II only 7 3,9 777II only 777 0,1? 7 3,9C) 0,1? D) I 0,1? III only 77 3,9 777 and III only 3,9 777 0,1? D) III only 77 E) I and III only IIand III only and III only 3,.J H E) 3,.J H I !D# E 1*K=*9 08 &'8&3:-*/' *,9'( # A C"! &')13:'. -%' 3*& >'-6'', 3 !('9 6'92' 80&+'9 8&0+ -60 !D# E 1*K=*9 08 &'8&3:-*/' *,9'( # A C"! &')13:'. -%' 3*& >'-6'', 3 !('9 6'92' 80&+'9 8&0+ -60 213.. )13-'. 3. .%06,# E. 3 &'.=1-< -%' .)3:*,2 >'-6'', 39L3:',- 93&; >3,9. *, -%' *,-'&8'&',:' 213.. )13-'. 3. .%06,# E. 3 &'.=1-< -%' .)3:*,2 >'-6'', 39L3:',- 93&; >3,9. *, -%' *,-'&8'&',:' 12. Light of wavelength 0)23,//4 %05%6.0( )0 , diffraction &2,(%0& 7# 80 ('. 152..0 12. di 2,5(%)0 !"# )3--'&,J +,-./.0&(' ! %1 λ is normally incident on a6%!ffraction grating G. On the screen S, 9: ('. $%&'( )* 12. Light of wavelength 0)23,//4 %05%6.0( )0 , di 2,5(%)0 &2,(%0& 7# 80 ('. 152..0 12. !"# )3--'&,J +,-./.0&(' ! %1 λ is normally incident on a6%!ffraction grating G. On the screen S, 9: ('. $%&'( )* the central ; ,06at P and the first-order line <: at Q, as shown. The distance between central line is at P and the first-order line is at Q, as shown. The distance between line is ('. !21( )26.2 /%0. %1 ,( is ,1 1')+0# ='. 6%1(,05. >.(+..0 ,6?,5.0( 5.0(2,/ /%0. %1 ,( /%0. 5.0(2,/ the %1 ,( ; ,06 ('. !21( )26.2 /%0. %1 ,( <:!!!!!!!,1!!!!!!!!!!!!!!!!!1')+0# ='. 6%1(,05. >.(+..0 ,6?,5.0( ! ! !!!!!!!! !!!!!!!! ! !!!!! !!!!!!! ! !!!!! !!!!!!!!! adjacent slits on the grating is: on ! ! 213.. 1/%(1 %0 adjacent slits %1@ the grating is: !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!#!!!!!! 213.. %0 ('. &2,(%0& %1@ ('. &2,(%0& ! 1/%(1 ! ! ! ! ! !! !! !!! !! !! !!!! !#!# !#!!!! !!! !!!!!!!!!! !!!!!!!!!! !!!!!!!!!!####!!! !!!!!!!!!!#!#!### !!!!!!!!!!!!!!!!!# # !!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!! !!!! !!!! !!!!!# ! !!!!! ! !! !! !! !!!!!!!!!!! !! !!!!!!!!! ! !!!# !!!!!#!#! # !!!!!!!!!! ! !#!!!!#####!#! # # !!!!!!!!#!!!!!#!############# !!!!!!!!!!!!!!!!!! !!!!!!!!!! !!!!!!! !!! !!!!!!! !!!!!!! !!!!!!!!! ! !!!!!!!!!!# ! !! !! !!!!!!!!! !! !!!!!!! # !!!!# # # !!! !!!!!# !!!#!!! # # # # # # # # # # # !!!!!! ! 1*K=*9 ! !!!!#!#!#!!!! !! ! !! !!!!! !!!!!!!! # # # !! !!!!!!!!!!! !!!#!!! # # # # # # # # # # # # # # # # 1*K=*9 !!!# !#!!!! !#!!!! # # !! ! !! !!!!#!!!!!!!##!!! # # # # # # # # # # # # # # # # # # !! !!!!!!!!!!!!!!!!!!! # # !! ! ! !!!!!! !!!!! # # # # # # # # # # # # # # # # # # # # # !! !!!!!!!!!!!!!!!!!!!!###!############################################### ! !! ! !!!!!!!!!!!!!!# # # !!!!!!!!!!!!!!!!!#!!!!!###!!!!#!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!#!!!!#!!!###### !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! # # ! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!# !!!!!!!!!!!!#!#!!!!!!!!!!#!#!#!#!#!# !# !# !#!#!# !# !# !# !# !# !# !# !# !# ! !!!!!#!#!!!!!!!!!!!!!!! !! !! !! !! !! !! !! !! !! !! !! !! !! !! !! !! !! !! !! !! ! !!!!!! !!!!! ! !!!!!! !! !!!!! ! ! ! !! !! ! !! < ! !! !! < ! ! ! ! ! ! ! ! ! ! 213.. ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 213.. !!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! ! ! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! %05%6.0( %05%6.0( A3 A3 E# *,:&'3.'. >? 3 83:-0& 08 C"! E# *,:&'3.'. >? 3 83:-0& 08 C"! /%&'( /%&'(!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! F# *,:&'3.'. >? 3 83:-0& 08 ! !; F# *,:&'3.'. >? 3 83:-0& 08 ! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !; !3 !3 G# &'+3*,. -%' .3+' &'+3*,. -%' .3+' G# H# 9':&'3.'. -0 !"C 08 *-. 0&*2*,31 /31=' H# 9':&'3.'. -0 !"C 08 *-. 0&*2*,31 /31=' I# 9':&'3.'. -0 ""! 08 *-. 0&*2*,31 /31=' I# 9':&'3.'. -0 ""! 08 *-. 0&*2*,31 /31=' 3,.J H 7 9 3,.J H 7 9 B# B# D# D# E# E# F# F# G# G# A!!C A!!CA) A!!! A!!! B) !!!C !!!C C!!! C!!! C) C!!AD) C !!AD) E) ,01@ G G ,01@ E) 4λ/ 3λ/ 4λ/5 λ/ 5 3λ/5 λ/4 5 λ/ 4 4λ/5 5 λ/ 4 3λ/ 5λ/ 4 3λ/4 5λ/ 3 λ/ 5λ/3 !H# CCIJ03 /%&'( %1 %05%6.0( 0)23,//4 )0 , 6%!2,5(%)0 &2,(%0& ,06 .K,5(/4 L /%0.1 ,2. M2)6N5.6# !H# CCIJ03 /%&'( %1 %05%6.0( 0)23,//4 )0 , 6%!2,5(%)0 &2,(%0& ,06 .K,5(/4 L /%0.1 ,2. M2)6N5.6# ='. 2N/%0& 1.M,2,(%)0 3N1( >.@ ='. 2N/%0& 1.M,2,(%)0 3N1( >.@ B# >.(+..0 O PC " QI!! 3 ,06 C CI " QI!! 3 B# >.(+..0 O""PC " QI!! 3 ,06 C""CI " QI!! 3 5 5 "#$ D# >.(+..0 C""CI " QI!! 3 ,06 Q QI " QI!" 3 !"#$%&' ()* +,-./0./.,!. >.(+..0 C CI +,-./0./.,!. "#$ D# !"#$%&' ()* " QI!! 3 ,06 Q""QI " QI!" 3 !" " !" " E# >.(+..0 A AI " QI 3 ,06 A "C " QI 3 E# >.(+..0 A""AI " QI! 3 ,06 A"""C " QI! 3 !" !" F# >.(+..0 A"""C " QI!" 3 ,06 !""!I " QI!" 3 F# >.(+..0 A "C " QI 3 ,06 ! !I " QI 3 FREE RESPONSE. Write your answers in the boxes provided, using the units given. You may receive partial credit for work that is shown clearly. (10 points each) 13. Unpolarized light with intensity I0 is incident on a stack of three polarizing filters. The first and last filter have their axes parallel to one another, while the middle filter is rotated by 30 ◦ with respect to the other two. (A) What fraction of the incident intensity I0 is transmitted by the first filter? I/I0 = (2) (B) What fraction of the incident intensity is transmitted by the second filter? I/I0 = (3) (C) What fraction of the incident intensity is transmitted by the third filter? I/I0 = (3) (D) If the middle filter is removed, what fraction of the incident intensity is transmitted by the third filter? I/I0 = 6 (2) 14. An object of height 5 cm is placed 1 m to the left of a diverging lens of focal length f1 = −1 m. A converging lens with focal length f2 = +0.5 m is located 1 m to the right of the first lens. For the final image formed by the pair of lenses, answer the following: (A) What is its location relative to the original object? d= m (4) cm (4) (B) Is it real or virtual? (1) (C) Is it upright or inverted? (1) (D) What is its height? h= 7 ...
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This note was uploaded on 09/05/2011 for the course PHYS 116b taught by Professor Haglund during the Spring '07 term at Vanderbilt.

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