Can someone plz explain the steps for me? I\'m lost at what I\'m doing wrong and
ID: 1509837 • Letter: C
Question
Can someone plz explain the steps for me? I'm lost at what I'm doing wrong and I've gotten 3 different answers...
In a Young's double-slit experiment, a set of parallel slits with a separation of 0.102 mm is illuminated by light having a wavelength of 555 nm and the interference pattern observed on a screen 3.50 m from the slits.
(a) What is the difference in path lengths from the two slits to the location of a fourth order bright fringe on the screen? Incorrect: Your answer is incorrect. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. Answer in µm
(b) What is the difference in path lengths from the two slits to the location of the fourth dark fringe on the screen, away from the center of the pattern? Incorrect: Your answer is incorrect. Your response differs from the correct answer by more than 10%. Double check your calculations. Answer in µm
Explanation / Answer
a) difference in path lengths from the two slits to the location of a fourth order bright fringe on the screen
=> x = (m)
=> x = 4 * 555 * 10-9
= 2.22 * 10-6 m
= 2.22 µm --------------------> difference in path lengths
b) difference in path lengths from the two slits to the location of the fourth dark fringe on the screen
=> x = (m+1/2)
=> x = (3+1/2) * 555 * 10-9
=> x = 1.9425 * 10-6 m
=> x = 1.9425 µm --------------------> difference in path lengths