# ch3 - Chapter 3 Quantization of Charge Light and Energy 3-1...

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51 Chapter 3 ! Quantization of Charge, Light, and Energy 3-1. The radius of curvature is given by Equation 3-2. Substituting particle masses from Appendices A and D: 3-2. (a) Using mass number to compute an approximate value for B that will yield R of one meter, Equation 3-2 gives (b) Using Equation 3-2, (c) For doubly ionized atoms so and is unchanged because as before.

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Chapter 3 ! Quantization of Charge, Light, and Energy 52 3-3. 3-4. and 3-5. (a) (b) period 3-6. (a) ˆ
Chapter 3 ! Quantization of Charge, Light, and Energy 53 (Problem 3-6 continued) (b) (c) ˆ 3-7. ˆ 3-8. where the n i are integers. Assuming the smallest ) n = 1, then ) n 12 = 3.0, ) n 23 = 2.0, ) n 43 = 1.0, ) n 45 = 4.0, and ) n 65 = 1.0. The assumption is valid and the fundamental charge implied is 3-9. For the rise time to equal the field-free fall time, the net upward force must equal the weight. . 3-10. (See Millikan’s Oil Drop Experiment on the home page at www.whfreeman.com/modphysics4e.) The net force in the y-direction is . The net force in the x-direction is . At terminal speed and .

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Chapter 3 ! Quantization of Charge, Light, and Energy 54 (Problem 3-10 continued) 3-11. (See Millikan’s Oil Drop Experiment on the home page at www.whfreeman.com/physics.) (a) At terminal speed where and . Substituting gives (b) 3-12. . (a) (b) (c) 3-13. Equation 3-10: . Equation 3-12: . From Example 3-5:
Chapter 3 ! Quantization of Charge, Light, and Energy 55 (Problem 3-13 continued) 3-14. Equation 3-24: , 3-15. (a) (b) (c) Equation 3-12: Area of Earth . Total power =

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Chapter 3 ! Quantization of Charge, Light, and Energy 56 3-16. (b) (c) 3-17. Equation 3-10: 3-18. (a) Equation 3-23: (b) . Equipartition theorem predicts The long wavelength value is very close to kT, but the short wavelength value is much smaller than the classical prediction. 3-19. (a) (b) 3-20. (Equation 3-20)
Chapter 3 ! Quantization of Charge, Light, and Energy 57 3-21. Equation 3-10: where R E = radius of Earth 3-22. (a) (b) Each photon has average energy E = hf and NE = 40 J/s . (c) At 5m from the lamp N photons are distributed uniformly over an area The density of photons on that sphere is . The area of the pupil of the eye is so the number n of photons entering the eye per second is

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Chapter 3 ! Quantization of Charge, Light, and Energy 58 3-23. Equation 3-24: Letting The maximum corresponds to the vanishing of the quantity in brackets.
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ch3 - Chapter 3 Quantization of Charge Light and Energy 3-1...

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