review2 - Intermediate Modern Physics - Review Problems...

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Intermediate Modern Physics - Review Problems Fall, 2009 1. A proton moving with β = 0 . 99 will appear like a moving disk. (a) Compute the thickness of the disk assuming that in the proton’s rest frame the proton’s diameter is 1 fm. (b) Compute the proton’s kinetic energy in MeV, assuming its mass is 938 MeV/c 2 . The proton collides and fuses with a stationary proton to create a new particle. (c) What is the mass of the new particle? (d) How fast will the new particle be moving? 2. Compute the spacetime interval (in light years ) between the following events A and B , with the time and space coordinates given in Earth’s frame of reference: A — time 2019 AD on Earth B — time 2025 AD at Sirius, which is 8 light years away. What is the physical significance of this time interval? 3. In the Bohr model of the hydrogen atom, the angular momentum L = mvr is assumed to be quantized, that is, mvr = n ~ , where m is the mass of the electron, v the speed of the electron, r the radius of the electron’s orbit,
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review2 - Intermediate Modern Physics - Review Problems...

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