Respuesta :

Answer:

The diameter of mirror [tex] 5\times10^{-6}\ m[/tex]

Explanation:

Given that,

Wavelength = 2 μm

Resolution = 0.1

We need to calculate the diameter of mirror

Using formula of resolution

[tex]resolution=0.25\times\dfrac{wavelength}{diameter}[/tex]

[tex]diameter =0.25\times\dfrac{wavelength}{resolution}[/tex]

Put the value into the formula

[tex]diameter=0.25\times\dfrac{2\times10^{-6}}{0.1}[/tex]

[tex]diameter = 0.000005\ m[/tex]

[tex]diameter = 5\times10^{-6}\ m[/tex]

Hence, The diameter of mirror [tex] 5\times10^{-6}\ m[/tex]