Rankers Physics

Miscellaneous: Practice Problem & Solution

The angular resolution of a 10 cm diameter telescope at a wavelength of $5000 \AA$ is of the order of: (2005)
$10^6 rad$
$10^{-4} rad$
$10^4 rad$
$10^{-6} rad$

Solution Explained:

To solve this problem, we apply the core principles of Miscellaneous. Understanding the underlying formula is key to arriving at the correct answer below:

The angular resolution limit is $\theta = \frac{1.22 \lambda}{D} = \frac{1.22 \times 5000 \times 10^{-10}}{10 \times 10^{-2}} = \frac{1.22 \times 5 \times 10^{-7}}{10^{-1}} = 6.1 \times 10^{-6} rad$. This is of the order of $10^{-6} rad$.

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