Three equal charges +q are placed at the three vertices of an equilateral triangle centered at the origin. They are held in equilibrium by a restoring force of magnitude F(r) = kr directed towards the origin, where k is a constant. What is the distance of the three charges from the origin ?

Options

A. `[(1)/(6piepsilon_(0))(q^(2))/(k)]^(1//2)`
B. `[(sqrt(3))/(12piepsilon_(0))(q^(2))/(k)]^(1//2)`
C. `[(1)/(6piepsilon_(0))(q^(2))/(k)]^(2//3)`
D. `[(sqrt(3))/(4piepsilon_(0))(q^(2))/(k)]^(2//3)`

Answer

B