Eight charges each of value q are placed on a ring of radius R placed in x - y plane with origin at centre. A - q charge having mass m is projected from z = ∞ towards the centre of the ring with veloc

Question

Eight charges each of value q are placed on a ring of radius R placed in x - y plane with origin at centre. A - q charge having mass m is projected from z = ∞ towards the centre of the ring with velocity v . The velocity of - q when it reaches the centre of ring is (neglect gravity)

TestHub · Accepted Answer

Potential at the center V c = - k ( 8 q ) R U i + K i = U f + K f 0 + 1 2 m v 2 = q V c + 1 2 m v ′ 2 0 + 1 2 m v 2 = - k 8 q 2 R + 1 2 m v ′ 2 ∴ v ′ = 16 k q 2 m R + v 2

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