Young's double slit experiment is one of the classic tests for the wave nature of light. In an experiment using red light (λ = 637 nm) the second dark fringe on either side of the central maximum is θ = 3.8 degrees relative to the central bright fringe.

(a) write an expression for the separation distance d between the slits.

(b) Numerically, what is the distance of d in nanometers?

(c) Numerically, at what angle can the first bright fringe be found relative to the m1-0 central fringe?