The magnetic force acting on a charged particle of charge `-2 muC` in a magnetic field of `2 T` acting `y` direction, when the particle velocity is `(2i + 3 hat(j)) xx 10^(6) ms^(-1)`, is

Options

A. 8N in z – direction
B. 8N in z – direction
C. 4N in z – direction
D. 8N in y – direction

Answer

B

Explanation

`vecF=q(vecv xx vecB)`
`=-2 xx 10^(-6)[(2 hati +3 hatj) xx 10^(6) xx 2 hatj]`
`=-(8N)hatk`