# A dejected charged particle!

A charged particle is moving away from a uniformly charged infinite wire along a direction perpendicular to it. Initially, the particle is at a distance $$L$$ from the wire moving with a velocity $$u$$. When it is at a distance $$2L$$, its velocity is found to be $$2u$$. What will be the velocity of the particle when it is at a distance $$4L$$ from the wire ?

Hint: Assume the uniform charge density of the infinitely long wire to be $$\lambda$$ and the charge on the charged particle to be $$q$$.

Source: IISER model question paper

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