A charged particle moving along positive \( x \)-direction with a velocity \( v \) enters a regi...

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A charged particle moving along positive \( x \)-direction with a velocity \( v \) enters a region where there is a uniform magnetic field \( \mathbf{B}=-B \hat{\mathbf{k}} \), from \( x=0 \) to \( x=d \). The particle gets deflected at an angle \( \theta \) from its initial path. The specific charge of the particle is
(a) \( \frac{B d}{v \cos \theta} \)
(b) \( \frac{v \tan \theta}{B d} \)
(c) \( \frac{B \sin \theta}{v d} \)
(d) \( \frac{v \sin \theta}{B d} \)
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