A particle `A` of mass `m` and charge `Q` moves directly towards a fixed particle `B`, which has charge `Q`. The speed of `A` is a `v` when it is far away from `B`. The minimum separtion between the particles is not proportional to

Options

A. `Q^(2)`
B. `(1)/(v^(2))`
C. `(1)/(v)`
D. `(1)/(m)`

Answer

C

Explanation

`(1)/(2)mv^(2) = (1)/(4pi epsilon_(0)) (Q^(2))/(r_(min))` or `r_(min.) = (2Q^(3))/((4pi epsilon_(0))mv^(2))`
Clearly `r_(min) prop Q^(2) prop (1)/(m) prop(1)/(v^(2))`