Binoculars Compare: Telescope with binocular viewer Vs. regular binoculars?

Elton prescription drugs without prescription asked:

How would the light-gathering ability be with 100mm binoculars compared to a 200mm telescope with a binocular viewer (2 eyepieces)? Would they be equal (100mm each eye)?

Reply:

No. What you need to do is compare the surface area of the two systems using pi r squared. You can eliminate pi because it's a constant. so you've got 200 squared (= 40000) for the telescope with binoviewer compared to 2 x (100 squared) (= 20000), so the telescope will gather twice as much light as the binoculars, as well as having twice the resolution. The only down side with a binoviewer is the light loss due to the prisms.

 

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