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1154_Physics ProblemsTechnical Physics

# 1154_Physics ProblemsTechnical Physics - Chapter 41 495 In...

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Chapter 41 495 In the first excited state, level 2, the node-to-node distance is half as long as in state 1. The momentum is two times larger and the energy is four times larger: K = 8 22 . MeV . The proton has mass, has charge, moves slowly compared to light in a standing wave state, and stays inside the nucleus. When it falls from level 2 to level 1, its energy change is 2 05 8 22 6 16 . . . MeV MeV MeV = − . Therefore, we know that a photon (a traveling wave with no mass and no charge) is emitted at the speed of light, and that it has an energy of + 6 16 . MeV . Its frequency is f E h = = × × × = × 6 16 10 1 60 10 6 626 10 1 49 10 6 19 34 21 . . . . eV J eV J s Hz e je j . And its wavelength is λ = = × × = × c f 3 00 10 1 49 10 2 02 10 8 21 1 13 . . . m s s m . This is a gamma ray, according to the electromagnetic spectrum chart in Chapter 34. P41.10 The ground state energy of a particle (mass m ) in a 1-dimensional box of width L is E h mL 1 2 2 8 = . (a) For a proton
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