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JEE Main 2020 (2 Sep, Shift 2) · Motion of Charges in an Electric Field

Motion of Charges in an Electric Field question from JEE Main 2020 (2 Sep, Shift 2)

Q33JEE Main 2020 · 2 SEP · SHIFT 2Easy

Motion of Charges in an Electric Field

A small point mass carrying some positive charge on it, is released from the edge of a table. There is a uniform electric field in this region in the horizontal direction. Which of the following options then correctly describe the trajectory of the mass?

(Curves are drawn schematically and are not to scale).

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Answer: (a)

The mass starts from rest and both forces are constant: $mg$ along $+y$ and $qE$ along $+x$ .
Starting from rest under a constant net force, it moves along the direction of that net force.
So the path is a straight line through the origin with $\frac{y}{x} = \frac{mg}{qE}$ .
So the answer is (a).

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