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Q.

A particle of mass 2g and charge 1 μC is held at rest on a frictionless horizontal surface at a distance of 1m from a fixed charge 1mC. If the particle is released, it will be repelled. The speed of the particle when it is at a distance of 10m from the fixed charge is :

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a

100 m/s

b

90 m/s

c

60 m/s

d

45 m/s

answer is B.

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Detailed Solution

Gain in KE= Loss in electrostatic potential energy⇒12mv2=q1q24πε01r1-1r2 ⇒12 x 2 x 10-3 x v2=9 x 109 x 10-3 x 10-611-110 ⇒v2=8100 ⇒v=90 m/s

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