A 5 mg particle carrying a charge of 5 π × 10^-6 C is moving with velocity of (3 i +2 k ) × 10^-2 m / s in a region having magnetic field B =0.1 k Wb…

A $\displaystyle 5$ mg particle carrying a charge of $\displaystyle 5 \pi \times 10^{-6} \mathrm{C}$ is moving with velocity of $\displaystyle (3 \hat{i}+2 \hat{k}) \times 10^{-2} \mathrm{~m} / \mathrm{s}$ in a region having magnetic field $\displaystyle \vec{B}=0.1 \hat{k} \mathrm{~Wb} / \mathrm{m}^2$. It moves a distance of $\displaystyle \alpha$ meter along $\displaystyle \hat{k}$ when it completes $\displaystyle 5$ revolutions. The value of $\displaystyle \alpha$ is $\displaystyle \_\_\_\_$.