Light with a wave length of 442 nm passes through a double slit that has a slit separation of 0.400 mm. A screen is placed at a distance L from the two slits so that the first dark fringe appears directly across from each slit opening.

a) Draw afully labelleddiagram of this situation with all the important points and variables

b) Determine how far away the screen must be placed (L) for this situation to occur. Round to 3 significant digits.

c) Determine the distance between each dark fringe (x) Round to 1 significant digit. In a sentence, explain whether or not this value makes sense given the scenario.

d) Determine how many nodal lines would appear in the interference pattern.

e) Determine the path length difference to the 30th dark fringe. Round to 2 significant digits.