A particle of charge $q$ and velocity $v$ passes undeflected through a space with non-zero electric field $E$ and magnetic field $B$. The undeflecting conditions will hold if.
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both $B$ and $E$ are doubled in magnitude
$\overrightarrow{ F _{ e }}=\operatorname{qeB} \hat{n}$
$\overrightarrow{ F _{ e }}= qvB (-\hat{ n })$
Thus it both $E$ and $B$ are doubled the above conditions are not affected.
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