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

Question

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

Infinity Learn · Accepted Answer

Given Mass of $$particle=$$ $$mCharge=$$ $$+qDistance=$$ $$2LWe$$ know electrostatic force  $$F=14$$πε$$0q1q2r2$$.....$$(1)Restoring$$ force $$F=$$−$$14$$πε$$0q2$$[$$1(L$$−$$x)2$$−$$1(L+x)2$$]​⇒$$F=$$−$$q24$$πε$$0$$[$$4Lx(L2$$−$$x2)2$$]​As x<

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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