The magnetic force acting on charged particle of charge $2\,\mu C$ in magnetic field of $2\, T$ acting in $y-$ direction , when the particle velocity is $\left( {2\hat i + 3\hat j} \right) \times {10^6}\,m{s^{ - 1}}$ is
AIEEE 2012, Medium
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$\vec{F}=q(\vec{V} \times \vec{B})$
$=2 \times 10^{-6}\left[(2 \hat{i}+3 \hat{j}) \times 10^{6} \times 2 \hat{j}\right]$
$=2 \times 4 \hat{k}=8 \,N$ in $Z$ -direction.
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