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

Question

${{qvB} \over m}\left( -{{{\sqrt 3 } \over 2}\widehat i - {1 \over 2}\widehat j} \right)$

${{qvB} \over m}\left( {{1 \over 2}\widehat i - {{\sqrt 3 } \over 2}\widehat j} \right)$

${{qvB} \over m}\left( {{{ - \widehat j + \widehat i} \over {\sqrt 2 }}} \right)$

${{qvB} \over m}\left( {{{\widehat j + \widehat i} \over {\sqrt 2 }}} \right)$

Solution

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