{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Assignment01

Assignment01 - Duke University Medical Physics Program...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Duke University Medical Physics Program MP200 - Radiation Physics Fall 2010 Assignment 01 Due 09/13/10 ( Show your work for each problem. Partial credits are awarded.) 1. Calculate the minimum coefficient of friction necessary to keep a thin circular ring from sliding as it rolls down a plane inclined at an angle θ with respect to the horizontal plane. 2. Find < x > and < x 2 > for the first excited state ( n = 2) in an infinite square-well potential. 3. An electron is in a box of length 0 . 1 nm . Find its minimum kinetic energy. 4. A particle has the wave function ψ ( r ) = Ne - αr Where N is a normalization factor and α is a known real parame- ter. (a) Calculate the factor N . (b) Calculate the expectation values < x > , < r > , < r 2 > in this state. (c) Calculate the uncertainties (Δ x ) 2 and (Δ r ) 2 . (d) Calculate the probability of finding the particle in the region r > Δ r 5. A particle of rest mass 1 MeV/c 2 and kinetic energy 4 MeV col- lides with a stationary particle of rest mass 3 MeV/c 2 . After the 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
collision, the two particle stick together. Find (a) the initial mo- mentum of the system (b) the final velocity of the two-particle system, and (c) the rest mass of the two-particle system. 6. Two particles with the same mass m are emitted in the same di- rection, with momenta 10 mc and 20 mc respectively. As seen from the slower one what is the velocity of the faster particle, and vice verse? 7. A particle of rest energy 494 MeV decays into a μ meson of rest energy 106 MeV and a neutrino of zero rest energy. Find the ki- netic energies of the μ meson and neutrino into which the K meson decays while at rest. 8. How much energy is required to accelerate an electron from rest to a speed of 0 . 9 c ? 9. A meter stick is observed to be only 0 . 9 m long to an inertial ob- server. At what speed, relative to the observer, must the meter stick be moving? (a) 0 . 44 × 10 8 m/s (b)0 . 57 × 10 8 m/s (c)0 . 95 × 10 8 m/s (d)
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}