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

Question

$\begin {array} {1 1} (a)\;\large\frac{2Bq}{dm} & \quad (b)\;\large\frac{Bqd}{m} \\ (c)\;\large\frac{Bq}{2dm} & \quad (d)\;\large\frac{Bqd}{2m} \end {array}$