Consider a Young's double slit experiment as shown in figure. What should be the slit separation $$d$$ in terms of wavelength $$\lambda$$ such that the first minima occurs directly in front of the slit ($$S_1$$)?

A

$$\frac{\lambda}{(5 - \sqrt{2})}$$

B

$$\frac{\lambda}{2(\sqrt{5} - 2)}$$

C

$$\frac{\lambda}{2(5 - \sqrt{2})}$$

D

$$\frac{\lambda}{\sqrt{5} - 2}$$