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A particle of mass m and charge +q is midway between two fixed charged particles, each having a charge +q and at a distance 2L apart. The middle charge is displaced slightly along the line joining the fixed charges and released .The time period of oscillation is proportional to

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a

L12

b

L

c

L32

d

L2

answer is C.

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Detailed Solution

Given Mass of particle= mCharge= +qDistance= 2LWe know electrostatic force F=14πε0q1q2r2.....(1)Restoring force F=−14πε0q2[1(L−x)2−1(L+x)2]⇒F=−q24πε0[4Lx(L2−x2)2]As x<

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