The region between y = 0 and y = d contains a magnetic field \(B = B\hat k\). A particle of mass m and charge q enters the region with a velocity \(v = v\hat i.\) If \(d = \frac{{mv}}{{2qB'}}\) then the acceleration of the charged particle at the point of its emergence at the other side is

• A. \(\frac{{qvB}}{m}\left( {\frac{{\sqrt 3 }}{2}\hat i + \frac{1}{2}{\rm{\hat j}}} \right)\)
• B. \(\frac{{qvB}}{m}\left( {\frac{1}{2}{\rm{\hat i}} - \frac{{\sqrt 3 }}{2}{\rm{\hat j}}} \right)\)
• C. \(\frac{{qvB}}{m}\left( {\frac{{ - {\rm{\hat j}} + {\rm{\hat i}}}}{{\sqrt 2 }}} \right)\)
• D. \(\frac{{qvB}}{m}\left( {\frac{{{\rm{\hat i}} + {\rm{\hat j}}}}{{\sqrt 2 }}} \right)\)