# Maximum Energy transfer in Compton Effect

1. Feb 28, 2005

### PhatPartie

A photon having E = 14.7 keV energy scatters from a free electron inside a metal. What is the maximum energy the electron can gain from the photon?

Lamda'-lamda= change in lamda = h/mc (1-cos(theta)) ...having problems figuring out theta ... I know E=hc/lamda so lamda = hc/E ...so 1240eV/1.47*10^3 ev = .0843537 ...am i on the right track and if so where do i go from here? thanks

2. Feb 28, 2005

### Gamma

Find $$E_0 - E_1$$ in terms of $$cos \theta$$ using compton equation.

See for what value of $$\theta$$, $$E_0 - E_1$$ is maximum.

$$(E_0 - E_1)_{max}$$ is the maximum energy imparted to the electron.