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JEE PHYSICS MCQ: MAGNETIC EFFECT OF CURRENT

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A uniform magnetic field BB and electric field EE exist along yy and negative zz axis respectively. Under the influence of these fields a charge particle moves along OAO A undeflected. If electric field is swithed off, find the pitch of helical trajectory in which the particle will move.
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Correct option: D
2πmEqB2tan⁡θ\frac{2 \pi m E}{q B^2 \tan \theta}
Option D (2πmEqB2tan⁡θ\frac{2 \pi m E}{q B^2 \tan \theta}) is correct because it's the pitch of the helical trajectory, derived from equating electric and magnetic forces and using the time period.

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