Three plane mirrors form an equilateral triangle with each side of length l. There is a small hole at a distance `l gt 0` from one of the corners as shown in the figure . A ray of light is passed through the hole at an angle ` theta ` and can only come out through the same hole . The cross section of the mirror configuration and the ray of light lie on the same plane .

which of the following statement (s) and (are ) correct ?

Options

A. The ray of light will come out for ` theta = 30 ^@ ,` for `0 lt l lt L.`
B. there is an angle for `l = (L)/(2)` at which the ray of light will come out after two reflections
C. The ray of light will NEVER come out for ` theta = 60^@ ,` and `l= (L )/(3)`
D. The ray of light will come out for ` theta = 60 ^@ , and 0 lt l lt (L )/(2)` after six reflections