A small finder telescope

PHYSICS · Subjective · Fermi University Physics · Optics & Photonics · Interference and diffraction · Interference and diffraction

Optics and Photonics, Ch Fraunhofer diffraction from apertures and gratings

Problem

A small 40 mm40\ \text{mm} finder telescope, used in red light of λ=650 nm\lambda = 650\ \text{nm}, clearly shows a double star of separation 4.5′′4.5'' as two distinct points with an 8 mm8\ \text{mm} eyepiece (50×50\times). The observer swaps to a 4 mm4\ \text{mm} eyepiece (100×100\times), claiming the higher power will show the stars "even more clearly separated", implying the resolving power of the telescope has improved. Evaluate this using the Rayleigh criterion.

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