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 spheres, as
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 spheres, as
- [NEET 2016]
- [AIEEE 2011]
- A
$v \propto x$
- B
$v \propto {x^{ - \frac{1}{2}}}$
- C
$\;v \propto {x^{ - 1}}$
- D
$\;v \propto {x^{\frac{1}{2}}}$
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- [JEE MAIN 2024]