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# ch5 - Chapter 5 The Wavelike Properties of Particles...

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103 Chapter 5 ! The Wavelike Properties of Particles 5-1. (a) (b) 5-2. 5-3. 5-4. (from Equation 5-2) (a) For an electron: (b) For a proton: (c) For an alpha particle: 5-5. (from Equation 5-2) Mass of N 2 molecule =

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Chapter 5 The Wavelike Properties of Particles 104 5-6. 5-7. (a) If there is a node at each wall, then or . (b) For n = 1: For n = 2: 5-8. (a) is a nonrelativistic situation, so (b) is relativistic for an electron, so
Chapter 5 The Wavelike Properties of Particles 105 (Problem 5-8 continued) (c) 5-9. (a) Because, (b) and 5-10.

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Chapter 5 The Wavelike Properties of Particles 106 (Problem 5-10 continued) (a) (b) 5-11. 5-12. (a) (b)
Chapter 5 The Wavelike Properties of Particles 107 5-13. For the first maximum n = 1, so 5-14. (Equation 5-6) For 54 eV electrons = 0.165 nm and For n = 2 and larger , so no values of n larger than one are possible. 5-15. (Equation 5-6) For For For For This is the largest possible . All larger n values have .

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Chapter 5 The Wavelike Properties of Particles 108 5-16. (a) (b) 5-17. (a) (b) (c) (d) Successive zeros of the envelope requires that , thus with and . 5-18. (a) Because , and (b) v decreases as decreases. is positive.
Chapter 5 The Wavelike Properties of Particles 109 5-19. (a) The number of waves = Length of the packet = (# waves)( ) = (b) (c) 5-20.

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ch5 - Chapter 5 The Wavelike Properties of Particles...

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