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A particle of mass \( m \) having negative charge \( -q \) is projected at an angle \( \theta \) with \( x \)-axis. There exists a uniform electric field \( E \) and \( x \) uniform magnetic field \( B \) along \( x \)-axis. The particle will return to its initial point once if revolutions it completes \( n \) revolutions in time \( t \). What is \( n \) here?
(A) \( n=\frac{B v \cos \theta}{\pi E} \)
(B) \( n=\frac{2 B v \cos \theta}{\pi E} \)
(C) \( n=\frac{B v \sin \theta}{\pi E} \)
(D) \( n=\frac{2 B v \sin \theta}{\pi E} \)
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