Assume that light of wavelength 600 nm is coming from a star. The limit of resolution of a telescope

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Question

Assume that light of wavelength 600 nm is coming from a star. The limit of resolution of a telescope whose objective has a diameter of 2 m is:

Accepted Answer

Correct Answer: D — 3.66 × 10−7 radStep-by-step Solution:By the Rayleigh criterion, the limit of resolution (minimum resolvable angle) for a circular aperture is:θ = 1.22 λ/DGiven λ = 600 nm = 6 × 10−7 m, D = 2 m:θ = (1.22 × 6 × 10−7) / 2 = 1.22 × 3 × 10−7 = 3.66 × 10−7 radWhy Other Options Are Incorrect:Option A (1.83 × 10−7 rad): This is exactly half the correct answer; results from using D = 4 m instead of 2 m.Option B (7.32 × 10−7 rad): Double the correct answer; results from using D = 1 m.Option C (6.00 × 10−7 rad): Results from using θ = λ/D without the 1.22 factor.Key Concept:Limit of resolution of a telescope (Rayleigh criterion): θ = 1.22 λ/D, where D is the diameter of the objective lens/mirror. A smaller θ indicates better resolving power, achieved with larger aperture or smaller wavelength.

Assume that light of wavelength 600 nm is coming from a star. The limit of resolution of a telescope whose objective has a diameter of 2 m is:

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Assume that light of wavelength 600 nm is coming from a star. The limit of resolution of a telescope whose objective has a diameter of 2 m is:

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