Question

Two sources of light of wavelength 710 nm are 9 m away from a pinhole of diameter 1 mm. How far apart must the sources be for their diffraction patterns to be resolved by Rayleigh's criterion? answer in mm unit

Answer 1

7.8 mm

Step-by-step explanation:

Wavelength = λ = 710 nm = 710×10⁻⁹ m

Distance between light sources = L = 9 m

Diameter of pinhole = d = 1 mm = 1×10⁻³ m

Rayleigh Criterion

`D=1.22(L\lambda)/(d)\\\Rightarrow D=1.22(9* 710* 10^(-9))/(1* 10^(-3))\\\Rightarrow D=0.0077\ m=7.8\ mm`

Distance between difraction pattern is 7.8 mm.