Two charged particles each having a charge +q and mass m are kept at a distance d. if they are in equilibrium under the gravitational force and the electric force between them, then the ratio `q/m` or specific charge of each particle is

Options

A. `sqrt((4piepsi_(0))/(G))`
B. `sqrt(4piepsi_(0)G)`
C. `4piepsi_(0)G`
D. `(G)/(4piepsi_(0))`

Answer

B

Explanation

`F_(E)=F_(G) therefore(1)/(4piepsi_(0))(q^(2))/(d^(2))=(Gm^(2))/(d^(2))therefore ((q)/(m))=sqrt(4piepsi_(0)G)`