A $$1 \text{ kg}$$ mass is suspended from the ceiling by a rope of length $$4 \text{ m}$$. A horizontal force '$$F$$' is applied at the mid point of the rope so that the rope makes an angle of $$45°$$ with respect to the vertical axis as shown in figure.

The magnitude of $$F$$ is : (Assume that the system is in equilibrium and $$g = 10 \text{ m/s}^2$$)

A

$$10 \text{ N}$$

B

$$\frac{10}{\sqrt{2}} \text{ N}$$

C

$$1 \text{ N}$$

D

$$\frac{1}{10\sqrt{2}} \text{ N}$$