Final answer:
To determine the angle between the electron's velocity and the magnetic field, the formula F = qvBsin(θ) is used, solving for θ yields two possible angles due to the nature of the sin-1 function.
Step-by-step explanation:
The student's question concerns the calculation of the angle between the velocity of an electron and a magnetic field when the electron is subjected to a known magnetic force. The magnetic force an electron experiences is given by the equation F = qvBsin(θ), where F is the force, q is the charge of the electron, v is its velocity, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field direction. To find the angle, the equation can be rearranged to solve for θ, leading to θ = sin-1(F / (qvB)). Since sin-1 is a many-to-one function, there will be two possible angles between 0° and 180° that satisfy the equation.