Answer:
y = 3.52 mm
Explanation:
given,
wavelength of the light source (λ)= 520 nm
slits is separated (d) = 0.310 mm
distance to form interference pattern(D) = 2.10
distance between first and second dark fringe = ?
now, using displacement formula
[tex]y = \dfrac{m\lambda\ D}{d}[/tex]
where y is the fringe width
for first and second dark fringe
now, m = 1
[tex]y = \dfrac{1\times \lambda\ D}{d}[/tex]
[tex]y = \dfrac{1\times 520 \times 10^{-6}\ 2100}{0.310}[/tex]
y = 3.52 mm
width of the first bright fringe is equal to 3.52 mm
hence, distance between first and second dark fringe is equal to y = 3.52 mm