In a Young's double-slit experiment, a set of parallel slits having a separation of around 0.102 mm is illuminated by light encompassing a wavelength of around 566 nm and the interference pattern viewed on a screen 4.50 m from the slits.
(i) Determine the difference in path lengths from the two slits to the position of a third order bright fringe on the screen?
(ii) Determine the difference in path lengths from the two slits to the position of the third dark fringe on the screen, away from the center of pattern?