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Electric field and magnetic field in a region of space is given by $\bar{E} = E_{0} \hat{j}$ and $\bar{B} = B_{0} \hat{j}$ . A particle of specific charge $α$ is released from origin with velocity $\bar{V} = V_{0} \hat{i}$ . Then path of the particle is

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circle

helix with uniform pitch

helix with non uniform pitch

is cycloid

answer is C.

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Detailed Solution

Given that $q = α$

$\vec{v} = V_{0} \hat{i}, \vec{B} = B_{0} \hat{j}$

Here particle is moving along x – axis is accelerated towards y –axis by E and B is also y – axis so the particle moves with helical – nm uniform pitch as shown

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