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

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To determine the minimum distance between two stars for them to be viewed as distinct using a telescope with a 2.5-meter aperture and a wavelength of 463 nm, the relevant formula involves calculating the angle using 1.22 times the wavelength divided by the diameter. The calculated angle is approximately 2.259 x 10^-7 radians. Multiplying this angle by the distance to the stars (10^22 meters) yields a minimum separation of about 2.259 x 10^16 meters. The calculations confirm that this distance is necessary for clear distinction between the stars. Accurate application of the formulas is crucial for obtaining the correct answer.
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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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