Three particles, each of mass m, are situated at the vertices of an equilateral triangle of side ‘a’. The only forces acting on the particles are their mutual gravitational force. It is desired that each particle moves in a circle while maintaining their original separation ‘a’. The initial velocity that should be given to each particle and time period of circular motion are respectively

Options

A. `sqrt((3GM)/a),2pisqrt(a^3/(3GM))`
B. `sqrt((GM)/a),1/2pi sqrt((3GM)/a^3)`
C. `sqrt((GM)/a),2pi sqrt(a^3/(3GM))`
D. `sqrt((GM)/(3a)),2pi sqrt(a^3/(3GM))`

Answer

C