NEET 2016 Physics question

PhysicsElectric Charges and FieldsNEET 2016

Two identical charged spheres suspended from a common point by two massless strings of lengths , are initially at a distance () apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity . Then varies as a function of the distance between the spheres, as

Answer: (3)

Solution

Each sphere is in equilibrium under gravity , string tension and the electrostatic repulsion . For small angle with the vertical, , so . Also . Equating, $ =

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Question ID VK-091843