Question

1.) An alpha particle has a mass of 6.42 × 10^−27 kg and bears a double elementary positive charge. Such a particle is observed to move through a 5.2 T magnetic field along a circular path of radius 0.19 m. The charge on a proton is 1.60218×10^−19 C. What speed does it have? Answer in units of m/s.

2.) What is its kinetic energy? Answer in units of J.

3.) What potential difference in MV would be required to give it this kinetic energy? Answer in units of MV.

Answer 1

Given is:-

Mass of the alpha particle   

Magnetic Field  

Radius  

Charge   

Now,

Part - 1

Equating the forces we get

or

by plugging the values we get

Part - 2

and the kinetic energy is given by

or

which gives us

by plugging all the values we get

which gives us

Part - 3

Potential difference required is

thus

which gives us

or