A line charge of length $$\frac{'a'}{2}$$is kept at the center of an edge BC of a cube ABCDEFGH having edge length 'a' as shown in the figure. If the density of line charge is $$\lambda C$$ per unit length, then the total electric flux through

all the faces of the cube will be . (Take, $$\epsilon _o$$ as the free space permittivity)

A

$$\frac{\lambda}{2\epsilon_o} a$$

B

$$\frac{\lambda}{4\epsilon_o} a$$

C

$$\frac{\lambda}{16\epsilon_o} a$$

D

$$\frac{\lambda}{8\epsilon_o} a$$