An `alpha`-particle is moving in a magnetic field of `(3 hati +2hatj)` tesla with in velocity of `(5xx10^(5))hati ms^(-1)`. What will be the magnetic force acting on the particle?

Explanation

Here, `q=2xx(1.6 xx 10^(-19))C`
`B=(3hati +2hatj)` tesla
`v=(5xx10^(5)) hati` m/s
`:.` Magnetic force,
`F= q(v xx B)`
`=3.2 xx 10^(-19) [(5 xx 10^(5)) hati xx (3hati +2hatj)]`
`=3.2 xx 10^(-10) [(5 xx 10^(5) xx 2) hatk]`
`=3.2 xx 10^(-13) hatk N`