Two identical charged spheres suspended from a common point by two massless strings of lengths l, are initially at a distance d(d < < l) 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 v. Then, v varies as a function of the distance x between the sphere, as

(a)$v\alpha x$

(b)$v\alpha {x}^{\frac{-1}{2}}$

(c)$v\alpha x$-1

(d)$v\alpha {x}^{\frac{1}{2}}$

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