For a certain multiple-slit barrier the slit separation is 4 times the slit width.For this system:
A)the orders of the lines that appear are all multiples of 4
B)the orders of the lines that appear are all multiples of 2
C)the orders of the missing lines are all multiples of 4
D)the orders of the missing lines are all multiples of 2
E)none of the above are true

Question

Quizplus · Accepted Answer

The orders of the missing lines in a multiple-slit interference pattern are determined by the ratio of the slit separation to the slit width. If the slit separation is 4 times the slit width, the missing lines (destructive interference) occur at orders that are multiples of 4. This is because the path difference for destructive interference in a multiple-slit system is related to the slit separation and the slit width.

For a Certain Multiple-Slit Barrier the Slit Separation Is 4