# Projectile motion of charged particle

In the above diagram, two charged particles A and B, which are entered into a uniform electric field with the same velocity, move along their respective curved paths. The resulting horizontal movements of A and B in the electric field are $$2d$$ and $$3d,$$ respectively. Let $$W_A$$ and $$W_B$$ be the works done by the electric field to the charged particles A and B, respectively. What is the ratio $$W_A:W_B$$?

Ignore the gravitational force.

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