A Double Slit That Is Illuminated with Coherent Light of Wavelength

Multiple Choice

A double slit that is illuminated with coherent light of wavelength $644 \mathrm {~nm}$ produces a pattern of bright and dark fringes on a screen $6.00 \mathrm {~cm}$ from the slits. If the slits are $2783 \mathrm {~nm}$ apart, what is the distance on the screen between the $4 ^ { \text {th } }$ and the $2 ^ { \text {nd } }$ bright fringes on one side of the central maximum?

A) $3.13 \mathrm {~cm}$
B) $11.5 \mathrm {~cm}$
C) $17.6 \mathrm {~cm}$
D) $14.7 \mathrm {~cm}$
E) $23.0 \mathrm {~cm}$