Question

Two light bulbs are 1.0m apart. From what distance can these light bulbs be marginally resolved...

Two light bulbs are 1.0m apart.

From what distance can these light bulbs be marginally resolved by a small telescope with a 3.0cm -diameter objective lens? Assume that the lens is limited only by diffraction and ?=600nm.

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Answer #1

Raleighs' criteria for angular resolution of a circular aperature of diameterD is:

? = 1.22?/D = 1.22*600x10-9 m / 3*10-2 m  = 2.44*10-5

? = d/L

L = d/? = 1.0 m /2.44*10-5 = 0.40983 *105 m

L = 40.98 Km

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