Two sources of light of wavelength 720 nm are 10 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?

Respuesta :

Answer:

The value is  [tex]y = 0.00732 \ m[/tex]    

Explanation:

From the question we are told that

    The wavelength of each source is  [tex]\lambda = 720 \ nm = 720 *10^{-9} \ m[/tex]

     The distance from the pinhole [tex]D = 10 \ m[/tex]

     The diameter is [tex]d = 1.2 mm = \frac{1.2}{1000} = 0.0012 \ m[/tex]

Generally from Rayleigh's criterion  we have that the distance between the sources of light for their diffraction patterns is mathematically represented as '

        [tex]y = \frac{ 1.22 * \lambda * D}{d}[/tex]

=>      [tex]y = \frac{ 1.22 * 720 *10^{-9}* 10 }{ 0.0012}[/tex]

=>      [tex]y = 0.00732 \ m[/tex]