Question

Magnetic force acting on the charged particle projected perpendicular to magnetic field is proportional to r^n, where r is the radius of circular path find n

Answer 1

For a particle moving in a plane perpendicular to external magnetic field we know that

F = qvBsinθ = mv^2/r

or

F = mv^2r^-1

thus,

r^n = r^-1

or

n = -1