When a charged particle moving with velocity `vec v` is subjected to a magnetic field of induction `vec B`, the force on it is non-zero. This implies that:

Options

A. angle between `vec(v)` and `vec(B)` is necessarily `90^(@)`
B. angle between `vec(v)` and `vec(B)` can have any value other then `90^(@)`
C. angle between `vec(v)` and `vec(B)` can have any value other than zero and `180^(@)`
D. angle between `vec(v)` and `vec(B)` is either zero or `180^(@)`

Answer

C

Explanation

When a charged particle q is moving in a uniform magnetic field `vec(B)` with velocity `vec(V)` such that angle between `vec(v)` and `vec(B)` be `theta` due to interaction between the magnetic field produced due to moving charge and magnetic field applied, the charge q experiences a force which is given by
`F=qvB sin theta`
if `theta=0^(@)` or `180^(@)` then `sin theta=0`
`:. F=qvB sin theta=0`
since, force on charge particle is non-zero so angle between `vec(v)` and `vec(B)` can have any value other than zero and `180^(@)`
Note: force experienced by the charged particle is lorentz force.