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Electric field and magnetic field in region of space are given by and \( \overrightarrow{ E }= E _{0} \hat{ j } \) and \( \overrightarrow{ B }= B _{0} \hat{ j } \). A particle of specific charge \( \alpha \) ( charge per unit mass) is released from origin with velocity \( \vec{V}=V_{0} \hat{i} \). 7. \( y \) coordinate of particle when it crosses \( y \)-axis for \( n ^{\text {th }} \) time is :- (A) \( \frac{2 n^{2} \pi^{2} E_{0}}{B_{0}^{2} \alpha} \) (B) \( \frac{n^{2} \pi E_{0}}{B_{0}^{2} \alpha} \) (C) \( \frac{2 \pi^{2} E_{0}}{n^{2} B_{0} \alpha} \) (D) 0

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