Under the right conditions two high-energy "gamma ray" photons of light can create one electron and one
antielectron (called a "positron") from empty space, provided the
photons then disappear. A positron can be assumed here to have all
the same properties as an electron except that it's charge is the
opposite sign, and is thus given by the value +e. Assume that two
gamma ray photons coincide at one point in space labelled by the large
dot in the figure, and that they produce an electron and positron which
emerge from that point in exactly opposite directions with one moving
only in the +x-direction and the other moving only in the -x-direction.
Assume that all space is filled by a uniform magnetic field as indicated
in the figure, with a strength of 1.0 T, and assume that the speed of the
electron is initially twice that of the positron. Ignore any electric and
magnetic force between the electron and positron themselves.
a) Treating the electron and positron as point particles, sketch
their trajectories on the figure.