Question

Different paths of charged particle experiences force in magnetic field

Answer 1

You can consider Lorentz force here.

The force,F acting on a charged particle is...

F= q[v×B]
=q[vB sinA]
where A=angle between velocity of particle and direction of magnetic field.
B=intensity of magnetic field.

You can determine the motion by right hand thumb rule.

If the direction of velocity and magnetic field is parallel, no force will act on the particle and it will move same velocity and same direction.

Hope you're helped by the answer.