Optics Question 427

Question: A telescope of diameter 2m uses light of wavelength 5000 Å for viewing stars. The minimum angular separation between two stars whose image is just resolved by this telescope is

[MP PET 2003]

Options:

A) $ 4\times {{10}^{-4}} $ rad

B) $ 0.25\times {{10}^{-6}} $ rad

C) $ 0.31\times {{10}^{-6}} $ rad

D) $ 5.0\times {{10}^{-3}} $ rad

Show Answer

Answer:

Correct Answer: C

Solution:

Minimum angular separation $ \Delta \theta =\frac{1}{R.P.}=\frac{1.22\ \lambda }{d} $

$ =\frac{1.22\times 5000\times {{10}^{-10}}}{2}=0.3\times {{10}^{-6}}rad $



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