Rankers Physics

Miscellaneous: Practice Problem & Solution

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: (2020)
$1.83 \times 10^{-7} rad$
$7.32 \times 10^{-7} rad$
$6.00 \times 10^{-7} rad$
$3.66 \times 10^{-7} rad$

Short Solution (Best for NEET):

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 limit of resolution of a telescope is given by $\Delta\theta = \frac{1.22 \lambda}{D}$. Substituting the values, $\Delta\theta = \frac{1.22 \times 600 \times 10^{-9}}{2} = 1.22 \times 300 \times 10^{-9} = 3.66 \times 10^{-7} rad$.

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