The Keck telescope has an effective diameter of 10.0 m. What is the limiting angle of resolution for light at 600 nm? (7.3 x 10-8 radians = 0.015 s of arc) Consider how far apart two mountains on the moon have to be to see that difference; two stars of a binary system 12.4 ly away.

Respuesta :

Answer:

The limiting angle is 7.32x10⁻⁸rad and the separation distance is 8.586x10⁹ rad m

Explanation:

Given data:

λ = 600 nm = 6x10⁻⁷m

D = 10 m

The limiting angle of resolution is equal to:

[tex]\theta =\frac{1.22\lambda }{D} =\frac{1.22*6x10^{-7} }{10} =7.32x10^{-8} rad[/tex]

According Rayleigh expression:

L = 12.4 light year = 1.173x10¹⁷m

[tex]x=\theta *L=7.32x10^{-8} *1.173x10^{17} =8.586x10^{9} radm[/tex]