An X-ray photon with wavelength scatters from a free electron and emerges with wavelength

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Modern Physics · Modern Physics

Problem

An X-ray photon with wavelength

0.050\,\text{nm}

scatters from a free electron and emerges with wavelength

0.055\,\text{nm}

. Neglecting any binding energy, what is the kinetic energy gained by the electron? (a)

5.6\times10^{2}\,\text{eV}

(b)

2.3\times10^{3}\,\text{eV}

(c)

2.5\times10^{4}\,\text{eV}

(d)

1.8\times10^{3}\,\text{eV}