January 26, 2015

Homework Help: physics-telescope

Posted by Trace on Wednesday, March 23, 2011 at 11:22pm.

The Hubble Space Telescope (HST) can resolve objects that have a small
angular separation because there is no atmospheric distortion of the light. (i.e. The HST has excellent
resolving power.) Its 2.4-m-diameter primary mirror can collect light from distant galaxies that
formed early in the history of the universe. How far apart can two galaxies be from each other if they
are 10 billion light-years away from Earth and are barely resolved by the HST using visible light with
a wavelength of 400 nm? You may assume that the aperture diameter is the full 2.4 m diameter of the

okay so this is what I have tried so far:
I used a sin delta theta>/= 1.22 lambda nought
rearrange to get
delta theta>/= [inverse sin (1.22)(4.00*10^-9m)]/2.4m
so delta theta = 0.00001165

The only reason I used that formula is because it seemed like the best option. I'm not even sure if I'm using the right one.

I don't even know if I'm on the right track, and I have no idea what to do from here. Any help would be appreciated!

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