Two identical small balls each have a mass m and charge q. When placed in a hemispherical bowl of radius R with frictionless, nonconductive walls, the bead move, and at equilibrium the line joining the balls is horizontal and the distance between them is R (see figure). Neglect any induced charge on the hemispherical bowl. Then the charge on each bead is : (here `K=(1)/(4piepsilon_(0))`)

Options

A. `q=R((mg)/(Ksqrt(3)))^(1//2)`
B. `q=(R(mg)/(Ksqrt(3)))^(1//2)`
C. `q=R((sqrt(3)mg)/(K))^(1//2)`
D. `q=(R(sqrt(3)mg)/(K))^(1//2)`

Answer

A