The distance between two slits is 1.50 × $10 ^ { - 5 }$ m. A beam of coherent light of wavelength 600 nm illuminates these slits, and the distance between the slit and the screen is 2.00 m. What is the distance on the screen between the central bright fringe and the fourth-order bright fringe?
A)0.132 m
B)0.201 m
C)0.324 m
D)0.528 m
E)0.688 m

Question

Quizplus · Accepted Answer

The distance between the central bright fringe and the m-th order bright fringe in a double-slit experiment is given by $ y_m = \frac{m \lambda L}{d} $, where $ m $ is the order of the fringe, $ \lambda $ is the wavelength, $ L $ is the distance to the screen, and $ d $ is the distance between the slits. For the fourth-order bright fringe (m=4), $ y_4 = \frac{4 \times 600 \times 10^{-9} \times 2}{1.50 \times 10^{-5}} = 0.324 $ m.

The Distance Between Two Slits Is 1 10−510 ^ { - 5 }10−5

The Distance Between Two Slits Is 1 $10 ^ { - 5 }$