Condition for maximum:
For maximum, m = 1
Since the angle between the interference patterns is very small, we can make the approximation:
θ = λ/d
1 μm = 1000 nm
(a) θ = (450 × 10-3)/400 = 1.1 × 10-3 rad
Four trials of Young's double-slit experiment are conducted.
(a) In the first trial, blue light passes through two fine slits400 μm apart and forms an interference pattern on a screen 4 m away.
(b) In a second trial, red light passes through the same slits and falls on the same screen.
(c) A third trial is performed with red light and the same screen, but with slits 800 μmapart.
(d) A final trial is performed with red light, slits 800μm apart, and a screen 8 m away.
Rank the trials (a) through (d) from largest to smallest value of the angle between the central maximum and the first-order side maximum. In your ranking, note any cases of equality.