Problem: 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.

FREE Expert Solution

Condition for maximum:

d sin θ=mλ

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

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Problem Details

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.