A ring of radius I caries a charge $$+q$$. A test charge $$-qo$$ is released on its axis at a distance $$3R$$ from its centre. How much kinetic energy will be acquired by the test charge when it reaches the centre of the ring ?

Correct option is 214πε0×qq02R

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A ring of radius I caries a charge +q. A test charge -q_o is released on its axis at a distance $\sqrt{3} R$ from its centre. How much kinetic energy will be acquired by the test charge when it reaches the centre of the ring ?

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14πε0×qq0R

14πε0×qq02R

14πε0×qq03R

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detailed solution

Correct option is B

Potential V1, due to a ring is given byV1=14πε0×qR2+r2=14πε0×aR2+3R2(∵r=3R)=14πε0×q2RAt centre V2=14πε0×qR K.E. =q0V2−V1=14πε0qq02R

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A ring of radius I caries a charge +q. A test charge -qo is released on its axis at a distance 3R from its centre. How much kinetic energy will be acquired by the test charge when it reaches the centre of the ring ?

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A ring of radius I caries a charge +q. A test charge -q_o is released on its axis at a distance $\sqrt{3} R$ from its centre. How much kinetic energy will be acquired by the test charge when it reaches the centre of the ring ?