A particle is projected from point A, that is at a distance 4R from the centre of the Earth, with speed v1 in a direction making 30∘ with the line joining the centre of the Earth and point A, as shown. If particle passes grazing the surface of the Earth, then the speed v1 in m/s is 102P. Find value of P. Consider gravitational interaction only between these two. (use RGM=6.4×107 m2/s2 )