question archive Two light bulbs are 2

Two light bulbs are 2

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Two light bulbs are 2.0 m apart.
From what distance can these light bulbs be marginally resolved by a small telescope with a 5.0 cm- diameter objective lens? Assume that the lens is limited only by diffraction and \lambda = 600 nm

 

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D = diameter of the telescope

d = distance between light bulbs

L = distance from telescope to light bulbs

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Raily's diffraction:

θ = 1.22λ/D = 1.22*600e-9/0.05 = 1.464e-5 rad

L = d/θ = 2.0/1.464e-5 = 1.37 * 10^5 m