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The angular resolution of a 10 cm diameter telescope at a wavelength of 5000 Å is of the order of:

1. 10⁶ rad
2. 10⁻² rad
3. 10⁻⁴ rad
4. 10⁻⁶ rad

Correct answer: 10⁻⁶ rad

Solution

The angular resolution is given by the formula θ = 1.22 * λ / D, where λ is the wavelength and D is the diameter of the telescope. Substituting λ = 5000 Å = 5 × 10⁻⁷ m and D = 0.1 m, we get θ ≈ 1.22 × (5 × 10⁻⁷) / 0.1 ≈ 6.1 × 10⁻⁶ rad, which is closest to 10⁻⁶ rad.

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