Consider a plane inclined at an angle
45∘ with the horizontal has two slits
S1andS2 separated by a distance
d=√2 mm. The screen is placed at a distance of
D=10 m from the midpoint of the slits, as shown in the figure. A parallel monochromatic light beam of wavelength
5000 ˙A is incident on the slits as shown. If the fringe width of interference pattern on the screen is
k×10−3 m, then the value of
k is
.