A certain astronomical telescope has a diameter of 5.60 m. What is the minimum angle of resolution for this telescope at a wavelength of 620 nm? A) 1.11 × 10^-⁷ rad B) 3.11 × 10^-⁷ rad C) 2.70 × 10^-⁷ rad D) 1.35 × 10^-⁷ rad E) 4.05 × 10^-⁷ rad

Question

Quizplus · Accepted Answer

The minimum angle of resolution is given by the formula:
θ = 1.22λ/D
where θ is the minimum angle of resolution,
λ is the wavelength of light, and
D is the diameter of the telescope.
Plugging in the given values, we get:
θ = 1.22 x 620 nm / 5.60 m
θ = 1.35 × 10^-7 rad
Therefore, the correct answer is D.

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