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 than `90^(@)`
C. angle between `vec(V)` and `vec(B)` can have any value other than zero to `180^(@)`
D. angle between `vec(V)` and `vec(B)` is either zero to `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`, then due to interaction between the magnetic field produced due to moving charge and magnetic field applied, the charge `q` experience a force which is given by
`F=qvB sin theta`
If `theta=0^(@)` or `180^(@)`, then `sin theta=0`
`:. F=qv B sin theta =0`
Since, force on charged particle is non-zero, so angle between `vec(V)` and `vec(B)` can have any value other than zero and `180^(@)`.