Final answer:
The magnitude and direction of the magnetic force acting on the deuteron can be calculated using the equation F = qvB and the right-hand rule.
Step-by-step explanation:
The magnetic force on a charged particle moving in a magnetic field is given by the equation F = qvBsin(theta), where F is the magnetic force, q is the charge of the particle, v is the velocity of the particle, B is the magnetic field strength, and theta is the angle between the velocity and the magnetic field. In this case, the deuteron is moving in a circular path, so the angle theta between the velocity and the magnetic field is 90 degrees.
To calculate the magnitude of the magnetic force, we can use the equation F = qvB. Plugging in the given values, we have F = (1.60 x 10^-18 C)(v)(B). To find the direction of the magnetic force, we can use the right-hand rule, which states that if you point your right thumb in the direction of the velocity of the charged particle and curl your fingers, your fingers will point in the direction of the magnetic force.