Solve the all parts of following problem given below:
Problem: An electron is accelerated from rest through a potential difference of 500V along the x axis then injected into a uniform magnetic field pointing into the plane of the paper. Once in the magnetic field, it completes half a revolution in 2 ns.
Part A: Provide a sketch illustrating the situation.
Part B: What is the speed of the electron as it enters the magnetic field?
Part C: What is the strength of the magnetic field?
Part D: What is the radius of the electron's orbit in the magnetic field?
Please also explain steps, thanks in advance.