Four particles having masses m, 2m, 3m, and 4m are placed at the four corners of a square of an edge 'a' as shown in the figure. The gravitational force acting on a particle of mass m placed at the centre of the square will be
1
\(2\sqrt 2 \frac{{G{m^2}}}{{{a^2}}}\)
2
\(\sqrt 2 \frac{{G{m^2}}}{{{a^2}}}\)
3
\(4\sqrt 2 \frac{{G{m^2}}}{{{a^2}}}\)
4
\(8\sqrt 2 \frac{{G{m^2}}}{{{a^2}}}\)