In a two-slit experiment, monochromatic coherent light of wavelength $600 \mathrm {~nm}$ passes through a pair of slits separated by $2.20 \times 10 ^ { - 5 } \mathrm {~m}$. At what angle away from the centerline does the first bright fringe occur?
A) $2.22 ^ { \circ }$
B) $3.12 ^ { \circ }$
C) $6.24 ^ { \circ }$
D) $4.70 ^ { \circ }$
E) $1.56 ^ { \circ }$

Question

Quizplus · Accepted Answer

The angle for the first bright fringe (m=1) in a two-slit experiment is given by $ \sin \theta = \frac{m \lambda}{d} $. Substituting $ m = 1 $, $ \lambda = 600 \times 10^{-9} \, \text{m} $, and $ d = 2.20 \times 10^{-5} \, \text{m} $, we find $ \theta \approx 1.56^\circ $.

In a Two-Slit Experiment, Monochromatic Coherent Light of Wavelength 600 nm600 \mathrm {~nm}600 nm

In a Two-Slit Experiment, Monochromatic Coherent Light of Wavelength $600 \mathrm {~nm}$