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### HW1-sol

Course: PHYS PHYS 3313, Fall 2009
School: UT Arlington
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Word Count: 230

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1 Chapter Homework Solutions 1. All else being equal, relativistic phenomena would be less conspicuous if the speed of light were larger. We would have to obtain an even larger speed than we do now for relativistic effects to manifest themselves. 2. t = t0 To the observer, the watch in the rest frame of the runner records a 10% smaller time so t0=0.9t and =1/0.9=1.11 so and v=(1-.81)1/2c=0.44c v2 1- 2 = 0.9 c...

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1 Chapter Homework Solutions 1. All else being equal, relativistic phenomena would be less conspicuous if the speed of light were larger. We would have to obtain an even larger speed than we do now for relativistic effects to manifest themselves. 2. t = t0 To the observer, the watch in the rest frame of the runner records a 10% smaller time so t0=0.9t and =1/0.9=1.11 so and v=(1-.81)1/2c=0.44c v2 1- 2 = 0.9 c 3. Assume the car on earth is moving slowly compared to the speed of light so the speed of the spacecraft relative to the car is .6C In eq. 1.3 t = 50 mins is the time measured by observer in the moving spacecraft. While t0 is the time the driver notices to elapse during the course of the trip so, t0= t* sqrt(1-v2/c2) = 40 minutes. 4. The proper astronaut's length (height) is 5 ft, which is what an observer in the spaceship would measure. The external observer measures a shorter length (from Eq. 1.9) L = L0 / L =(1 - L0 5. v 2 1/ 2 ) = - .642 )1/ 2 = ft 5(1 3.8 2 c 6. 7. 8. 2 E = mc= 1 = v2 1- 2 c 1 = 1.15 (0.5c) 2 1- c2 so E = 1.15x0.938 GeV=1.08 GeV KE =- 1)mc 2 = ( .15(.938) = GeV = (mc 2 ) 2 + p 2 c 2 0.14 E2 p 2 c 2 =2 - (mc 2 ) 2 = 2 - .9382 = GeV 2 E 1.15 .44 p = 0.67GeV / c 9. KE = ( - 1)mc 2 = KE / m = ( - 1)c 2 = 9 x1016 ((1/ 1 - .7 2 ) - 1) = 3.6 x1016 J / kg 10. KE = - 1)mc 2 = 2 ((1/ 1 - 2 ) - 1) ( mc KE.2 / KE.1 (1/ 1 - .22 ) - 1) /(1/ 1 - .12 ) -= .0206 / .00504 4.1 = 1) = KE.4 / KE.1 (1/ 1 - .42 ) - 1) /(1/ 1 - .12 ) -= .0901/ .00504 18 = 1) =
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UT Arlington - PHYS - PHYS 3313
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UT Arlington - PHYS - PHYS 3313
Chapter 2 Homework Solutions1. Planck's constant gives a measure of the energy at which quantum effects are observed. If Planck's constant had a larger value, while all other physical quantities such as, speed of light, remained the same; quantum effects
UT Arlington - PHYS - PHYS 3313
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Chapter 3 Homework Problems1. (book #3)2. (book #4)3. a) Find the de Broglie wavelength of a 1.00 keV proton. Is a relativistic calculation needed? B) Find the de Broglie wavelength of a 1.00 GeV proton. Is a relativistic calculation needed? 4. (book #
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UT Arlington - PHYS - PHYS 3313
Chapter 4 Homework Solutions1. (book #5)2. (book #9)3.1= R(1 1 1 1 - 2 ) = 1.097 107 m -1 ( 2 - 2 ) 2 3 nf ni nf 11 1 = 1.097 107 ( - ) = 1.52 106 m -1 4 9 -7 = 6.58 10 m 1 1 1 n = 1: = 1.097 107 ( - ) = 9.75 106 m -1 1 9 -7 = 1.03 10 m n= 2:4.12
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Chapter 5 Homework Problems
UT Arlington - PHYS - PHYS 3313
Solutions Chapter 51. Book #22. Book #33. Book #74. Book #9Solutions Chapter 55. Book #106. Book #14Solutions Chapter 57. Book #198. Book# 219. Book# 25Solutions Chapter 510. Book #2911. Book #30
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Physics 3313 - Lecture 3Monday August 31, 2009 Dr. Andrew Brandt HW1 Assigned due 09/09/09 Relativistic momentum and energy8/31/20093313 Andrew Brandt1Velocity Addition (Appendix) ~Worth reading 1.6 on connection of electricity and magnetism; electr
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Physics 3313 - Lecture 4Wednesday September 2, 2009 Dr. Andrew Brandt 1. 2. 3. 4. 5. 6.9/2/2009Forgot to work Ex. 1.5 Finish Ch. 1 HW 1 still due 09/09/09 Quiz on Ch. 1 Particle Properties of Waves Photoelectric Effect3313 Andrew Brandt1Units Use W
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UT Arlington - PHYS - PHYS 3313
Physics 3313 - Lecture 10Monday September 28, 2009 Dr. Andrew Brandt 1. 2. 3. 4. 5.9/28/2009HW4 due Weds Sep. 30, test on Ch 1-5 Oct. 14 Schrodinger's Equation Wave Function Properties Operators and Expectation Values Eigenfunctions and Eigenvectors33
UT Arlington - PHYS - PHYS 3313
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UT Arlington - PHYS - PHYS 3313
Equations Test 1 PHYS 3313c = 3.0 10 8 m / s m electron = 0 . 511 MeV2-19c2= 9 . 11 10-27- 31kgm proton = 938 MeV c = 1.67 10kg mneutrone = 1.6 10 Coulomb h = 6.63 10 -34 J.s = 4.14 10 -15 eV .s R = 1.097 10 7 m -1 (Work function ) : Platinum
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