Net gravitational force at the center of a square is found to be $$F_{1}$$ when four particles having mass $$M, 2M, 3M$$ and $$4M$$ are placed at the four corners of the square as shown in figure and it is $$F_{2}$$ when the positions of $$3M$$ and $$4M$$ are interchanged.
The ratio $$\frac{F_{1}}{F_{2}}$$ is $$\frac{\alpha}{\sqrt{5}}$$ The value of $$\alpha$$ is _________.

A

$$2\sqrt{5}$$

B

1

C

2

D

3