Correct Answer - B
As is clear from Fig
`tan theta = (F)/(mg) = (kq^(2))/(x^(2) mg)` ….(i)
Also, `tan theta = (x//2)/(sqrt(l^(2) -x^(2)//4)) ~= (x)/(2l)`
From(i) and (ii), `(kq^(2))/(x^(2) mg) = (x)/(2l)`
`q^(2) = (mg x^(3))/(2 kl)`
`:. q prop c^(3//2)`
`(dq)/(dr) prop (d)/(dx) (x^(3//2) (dx)/(dt) prop (3)/(2) x^(1//2).v`
As `(dq)/(dr)` is constant, therefore, `v prop x^(-1//2)`