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A particle P of charge q and m , is plac...

A particle P of charge q and m , is placed at a point in gravity free to move. Another particle Q, of same charge and mass , is projected from a distance r from P with an initial speed `v_(0)` towards P , initial the distance between P and Q decreases and then increases.
The potential energy of the system of particles P and Q, at closest separation is

A

`(1)/(4pi epsilon_(0))(q^(2))/( r)+ (1)/(2) mv_(0)^(2)`

B

` - (1)/(4pi epsilon_(0))(q^(2))/( r)+ (1)/(2) mv_(0)^(2)`

C

`(1)/(4piepsilon_(0))(q^(2)) /( r)- ( mv_(0)^(2))/( 4)`

D

` - (1)/(4piepsilon_(0))(q^(2)) /( r)+ ( mv_(0)^(2))/( 4)`

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