- #1
Karol
- 1,380
- 22
Homework Statement
Fast electrons in synchrotron approach the speed of light:
I don't get to the "one part in 8,000,000"
Homework Equations
Momentum: ##~P=mv=\frac{m_0v}{\sqrt{1-v^2/c^2}}##
The Attempt at a Solution
$$\frac{v^2}{c^2}=1-\frac{1}{4E6}~\rightarrow~\frac{v}{c}=\frac{1}{1.000,000,5}$$
$$\rightarrow~v=\frac{c}{1.000,000,5}$$
$$c-v=c\left( 1-\frac{1}{1.000,000,5} \right) \neq c\cdot \frac{1}{8,000,000}$$