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hw1 - b max it can have to experience a deflection of at...

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Homework Problem Set No. 1 – Physics 17 Due: Wednesday, October 8, in class 1. Show that a photon cannot transfer all of its energy to a free electron. 2. Calculate the classical radius of a proton and compare that to the classical radius of an electron. The classical radius is determined by assuming that the rest mass energy equals the electrostatic self-energy. 3. Consider the Rutherford scattering of a fully ionized helium nucleus (atomic num- ber 2) off gold (atomic number 79). If the helium nucleus has an initial energy of 1 MeV (1 eV = 1.6 × 10 - 19 joule), compute the maximum impact parameter,
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Unformatted text preview: b max , it can have to experience a deflection of at least 90 ◦ . 4. The atomic weight of gold is 197 and its density is 19,000 kg m-3 . If you consider a thin sheet of gold that is 1.0 μ m in thickness, using your answer to question (3), what fraction of a beam of incident helium nuclei are scattered at least 90 ◦ ? 5. Consider a Compton scattering event where the photon of wavelengfth λ is deflected by π /2. What is the vector momentum of the scattered electron? Show how to use this measured momentum to infer the energy of the incident photon. 1...
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