A charged particle carrying charge 1 $\mu $C is moving with velocity $\left( {2\widehat i + 3\widehat j + 4\widehat k} \right)$ ms–1. If an external
magnetic field of $\left( {5\widehat i + 3\widehat j - 6\widehat k} \right)$× 10–3 T exists in the region where the particle is moving then the
force on the particle is $\overrightarrow F $
× 10–9 N. The vector $\overrightarrow F $
is :
${ - 0.30\widehat i + 0.32\widehat j - 0.09\widehat k}$
${ - 300\widehat i + 320\widehat j - 90\widehat k}$
${ - 30\widehat i + 32\widehat j - 9\widehat k}$
${ - 3.0\widehat i + 3.2\widehat j - 0.9\widehat k}$
Solution
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