- #1
Elvis 123456789
- 158
- 6
Homework Statement
For a fast moving particle, its momentum and energy are frequently easier to measure than its velocity.
a) Show that the factor of beta (as defined by β=v/c), can also be determined by measuring the ratio of relativistic momentum (p) and total energy (E).
b) Sketch, qualitatively, β as a function of p. (p is between 0 and infinity). You could choose a specific range of the momentum (in GeV/c), and assume the mass of the particle to be 1GeV/c2 . The shape and limit (for p=0 and infinity) of the function must be shown.
c) Think about, how would the mass of the particle change the curves?
Homework Equations
E = γ*m*c^2
P = γ*m*u
β = u/c
The Attempt at a Solution
P/E = β/c ------> β = c/E * P
this results in a linear relationship between β and P which I know isn't right. can anybody point me in the right direction?