Question

Two sources of light of wavelength 700 nm are 9 m away from a pinhole of diameter 1.2 mm. How far apart must the sources be for their diffraction patterns to be resolved by Rayleigh's criterion

Answer 1

The distance is
`D = 0.000712 \ m`

Step-by-step explanation:

From the question we are told that

The wavelength of the light source is
`\lambda = 700 \ nm = 700 *10^(-9) \ m`

The distance from a pin hole is
`x = 9\ m`

The diameter of the pin hole is
`d = 1.2 \ mm = 0.0012 \ m`

Generally the distance which the light source need to be in order for their diffraction patterns to be resolved by Rayleigh's criterion is

mathematically represented as

`D = (1.22 \lambda )/(d )`

substituting values

`D = (1.22 * 700 *10^(-9) )/( 0.0012 )`

`D = 0.000712 \ m`