Four particles, each of mass 1 kg and equidistant from each other, move along a circle of radius 1 m under the action of their mutual gravitational attraction. The speed of each particle is :

(1) $\sqrt{G(1+2\sqrt2)}$

(2) ${1\over2}\sqrt{G(1+2\sqrt2)}$

(3) $\sqrt G$

(4) $\sqrt{2\sqrt2G}$

(1) $\sqrt{G(1+2\sqrt2)}$

(2) ${1\over2}\sqrt{G(1+2\sqrt2)}$

(3) $\sqrt G$

(4) $\sqrt{2\sqrt2G}$