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A positively charged particle having charge \( q \) is accelerated by a potential difference \( V \). This particle moving along the \( x \)-axis enters a region where an electric field \( E \) exists. The direction of the electric field is along positive \( y \)-axis. The electric field exists in the region bounded by the lines \( x=0 \) and \( x=a \). Beyond the line \( x=a \) (i.e. in the region \( x \geq a \) ) there exists a magnetic field of strength \( B \), directed along the positive \( y \)-axis. Find
(a) at which point does the particle meet the line \( x=a \)
(b) the pitch of the helix formed after the particle enters the region \( x \geq a \). Mass of the particle is \( m \).
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