A uniform magnetic field $\vec B\,\, = \,\,{B_0}\,\hat j$ exists in a space. A particle of mass $m$ and charge $q$ is projected towards negative $x$-axis with speed $v$ from the a point $(d, 0, 0)$. The maximum value $v$ for which the particle does not hit $y-z$ plane is
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$R \leq d \Rightarrow \frac{m V}{q B} \leq d$
$V \leq \frac{B q d}{m} \Rightarrow V_{\max }=\frac{B q d}{m}$
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