Physics problem thank you!?

In a Young's double-slit experiment the wavelength of light used is 478 nm (in vacuum), and the separation between the slits is 1.2 × 10-6 m. Determine the angle that locates (a) the dark fringe for which m = 0, (b) the bright fringe for which m = 1, (c) the dark fringe for which m = 1, and (d) the bright fringe for which m = 2.

2021-04-02T04:00:01Z

Answers a and d were correct however b and c were no. Please help! 

?2021-04-01T12:14:19Z

Favorite Answer

For the dark fringes, d*sinΘ = (m + ½)λ -- so
(a) 1.2e-6m * sinΘ = (0+½)*478e-9m → → Θ = 11.5º
(c) 1.2e-6m * sinΘ = (1+½)*478e-9m → → Θ = 36.7º

For the bright fringes, d*sinΘ = mλ -- so
(b) 1.2e-6m * sinΘ = 1*478e-9m → → → Θ = 23.5º
(d) 1.2e-6m * sinΘ = 2*478e-9m → → → Θ = 52.8º

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