Physics

Problem

The region between

y = 0

and

y = d

contains a magnetic field

\vec{B} = B\hat{z}

. A particle of mass

m

and charge

q

enters the region with a velocity

\vec{v} = v\hat{i}

. if

d = \frac{mv}{2qB}

, the acceleration of the charged particle at the point of its emergence at the other side is : a.

\frac{qvB}{m} \left( \frac{1}{2}\hat{i} - \frac{\sqrt{3}}{2}\hat{j} \right)

\frac{qvB}{m} \left( \frac{\sqrt{3}}{2}\hat{i} + \frac{1}{2}\hat{j} \right)

\frac{qvB}{m} \left( -\frac{\hat{j} + \hat{i}}{\sqrt{2}} \right)

\frac{qvB}{m} \left( \frac{\hat{i} + \hat{j}}{\sqrt{2}} \right)