The Calculation of Area of Airy Disk on the Screen

Calculating the Radius of Airy Disk

In the context of the diffraction pattern, the radius of the Airy disk can be determined by the radius of the first dark ring. Assuming the values of λ = 500 nm, f = 1 m, and D = 10 cm = 0.1 m, we can calculate the radius as follows:

r = (1.22 × 500 nm × 1 m)/(0.1 m) = 6.1 × 10^-3 m

Calculating the Area of Airy Disk

Substituting the calculated value of r into the formula for the area of a circle, we get:

A = πr² = π(6.1 × 10^-3 m)² ≈ 1.17 × 10^-4 m²

Therefore, the area of the Airy disk on the screen is approximately 1.17 × 10^-4 square meters.