Minimum distance between stars so we see them as two distinct stars

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SUMMARY

The discussion focuses on calculating the minimum distance between two stars for them to be perceived as distinct using a telescope with a circular aperture of 2.5 meters and a wavelength of 463 nm. The formula used is angle = 1.22 x (wavelength/diameter), leading to an angle of approximately 2.259 x 10-7 radians. Multiplying this angle by the distance to the stars (1022 meters) results in a minimum separation of approximately 2.259 x 1016 meters for the stars to be viewed as separate entities.

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Homework Statement



Using a telescope with circular aperture of diameter 2.5 meters and wavelength 463 nm. The stars are 10E22 meters away from us. What does the distance between them have to be so we view them as two stars?

Homework Equations



angle = 1.22 x (wavelength/diameter) > Distance between them = 10E22 x angle

The Attempt at a Solution



Plugged in the values given into the equations above and I'm not getting the right answer.
 
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You should get the right answer. Can you show us the calculation?
 
Yep.

(1.22 x 463 E-9)/2.5 = 2.259...E-7

That's my angle q.

Then I do q x 10E22 > 2.259 E 16 meters
 

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