1.

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

Answer» Here, `vecB=(3hati+2hatj)` and `vecv=(5xx10^5hati)`, `q=2e`.
`vecF=q(vecvxxvecB)=q([5xx10^5hati)xx(3hati+2hatj)]=qxx10^6hatk=2exx10^6hatk=2xx1*6xx10^-19xx10^6hatk`
or `|vecF|=3*2xx10^-13N`, towards positive z-direction.


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