A charged particle of mass $$4$$ gm and having a charge $$+1$$ μC is fired from a point with speed $$10$$ $$m/s$$ where electric potential is $$4x105$$ V in the direction where electric potential is decreasing, find the potential at a point (in$$ x $$105$$ $$volts) where its speed becomes $$102$$ $$m/s$$ $$m/s$$. Express your answer in multiple of $$105$$.

Question

A charged particle of mass $$4$$ gm and having a charge $$+1$$ μC is fired from a point with speed $$10$$ $$m/s$$ where electric potential is $$4x105$$ V in the direction where electric potential is decreasing, find the potential at a point (in$$ x $$105$$ $$volts) where its speed becomes $$102$$ $$m/s$$ $$m/s$$. Express your answer in multiple of $$105$$.

Infinity Learn · Accepted Answer

Work done by electric field $$=$$ gain in $$KE$$ of the particle.$$qV2-V1=12mv22-v21$$⇒ $$1$$×$$10$$−$$64$$×$$105$$−$$V=12$$×$$4$$×$$10$$−$$3$$×[$$1022$$−$$102$$]⇒ $$V=2$$×$$105V$$

Electrostatic potential

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Electrostatic potential

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Work done by electric field = gain in KE of the particle.qV2-V1=12mv22-v21⇒ 1×10−64×105−V=12×4×10−3×[1022−102]⇒ V=2×105V

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