
A photon of wavelength
is incident on an isolated stationary electron, as illustrated in the figure below.
The photon is deflected elastically by the electron of mass
. The wavelength of the deflected photon is
.
Calculate, for the incident photon,
its momentum,
its energy.
The angle
through which the photon is deflected is given by the expression

where
is the change in wavelength of the photon,
is the Planck constant, and
is the speed of light in free space.
Calculate the angle
.
Use energy considerations to suggest why
must always be positive.