Light with a wavelength of 576 3. ×10−9 m passes through two slits and forms an interference pattern on a screen 8.85 m away. if the linear distance on the screen from the central fringe to the first bright fringe above it is 5.36 cm, what is the separation of the slits?

The correct formula for the double-slit experiment is given by

where
y is the distance of the n-th maximum from the central fringe on the screen
n is the order of the maximum
D is the distance between the slits and the screen
d is the distance between the two slits

In our problem, we are given:
, the wavelength of the light
, the distance of the screen from the slits
is the distance of the first maximum (n=1) from the central fringe

Therefore, we can re-arrange the equation to calculate the separation between the slits:

Dshould be the right answer i think