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horrorfan [7]
2 years ago
11

Estimate the distance (in cm) between the central bright region and the third dark fringe on a screen 5.00 m from two double sli

ts 0.500 mm apart illuminated by 500-nm light.
Physics
1 answer:
Artist 52 [7]2 years ago
5 0

Answer:

y = 1.75 cm

Explanation:

In the double-slit experiment the equation for destructive interference is

           d sin tea = (m + ½)

λ

let's use trigonometry to find the angle

         tan θ = y / L

as all the experiment does not occur at small angles

          tan θ = sin θ / cos θ = sin θ = y / L

we substitute

        y = (m + 1/2 ) λ  L / d

we calculate

         y = (3 + ½) 500 10⁻⁹ 5.00 / 0.5 10⁻³

         y = 1.75 10⁻² m

         y = 1.75 cm

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