A binary star system in the constellation Orion has an angular separation between the stars of 10^-⁵radians. Assuming a wavelength of 700 nm, what is the smallest aperture (diameter) telescope that will just resolve the two stars? (1 nm = 10^-⁹m)

Question

Quizplus · Accepted Answer

The Rayleigh criterion for resolving two point sources is given by θ = 1.22 * (λ/D), where θ is the angular separation, λ is the wavelength, and D is the diameter of the aperture. Solving for D gives D = 1.22 * (λ/θ). Substituting λ = 700 nm = 700 x 10^-9 m and θ = 10^-5 radians, we find D ≈ 0.085 m or 8.5 cm.

A Binary Star System in the Constellation Orion Has an Angular