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

1. 1.83 × 10⁻⁷ rad
2. 7.32 × 10⁻⁷ rad
3. 6.00 × 10⁻⁷ rad
4. 3.66 × 10⁻⁷ rad

Correct answer: 3.66 × 10⁻⁷ rad

Solution

The limit of resolution for a telescope is given by the formula θ = 1.22 * (λ / D), where λ is the wavelength of light and D is the diameter of the objective. Substituting λ = 600 nm = 600 × 10⁻⁹ m and D = 2 m, we get θ = 1.22 * (600 × 10⁻⁹ / 2) = 3.66 × 10⁻⁷ rad.

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