A particle of mass \( m \) and having a positive charge \( q \) is projected from origin with sp...

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A particle of mass \( m \) and having a positive charge \( q \) is projected from origin with speed \( v_{0} \) along the positive \( x \)-axis in a magnetic field \( \mathbf{B}=-B_{0} \hat{\mathbf{k}} \) where \( B_{0} \) is a positive constant. If the particle passes through \( (0, y, 0) \), then \( y \) is equal to
(a) \( -\frac{2 m v_{0}}{q B_{0}} \)
(b) \( \frac{m v_{0}}{q B} \)
(c) \( -\frac{m v_{0}}{q B} \)
(d) \( \frac{2 m v_{0}}{q B_{0}} \)
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