Question

What mirror diameter gives 0.1 arc second resolution for infrared radiation of wavelength 2 micrometers?

Answer 1

The diameter of mirror
`5*10^(-6)\ m`

Step-by-step explanation:

Given that,

Wavelength = 2 μm

Resolution = 0.1

We need to calculate the diameter of mirror

Using formula of resolution

`resolution=0.25*(wavelength)/(diameter)`

`diameter =0.25*(wavelength)/(resolution)`

Put the value into the formula

`diameter=0.25*(2*10^(-6))/(0.1)`

`diameter = 0.000005\ m`

`diameter = 5*10^(-6)\ m`

Hence, The diameter of mirror
`5*10^(-6)\ m`