The region between y=0 and y= d contains a magnetic field B = B z. A particle of mass m and charge q enters the region with a velocity v =v i. If d…

The region between $\displaystyle y=0$ and $\displaystyle y=\mathrm{d}$ contains a magnetic field $\displaystyle \overrightarrow{\mathrm{B}}=\mathrm{B} \hat{z}$. A particle of mass $\displaystyle m$ and charge $\displaystyle q$ enters the region with a velocity $\displaystyle \vec{v}=v \hat{i}$. If $\displaystyle \mathrm{d}=\frac{\mathrm{m} v}{2 \mathrm{qB}}$, the acceleration of the charged particle at the point of its emergence at the other side is :