An astronomical refractor has a thin objective of focal length mm and clear diameter mm

PHYSICS · Multi-part · Fermi University Physics · Optics & Photonics · Astrophysics & Cosmology · Geometrical optics and imaging

Optics and Photonics, Ch Stops, pupils and optical instruments

Problem

An astronomical refractor has a thin objective of focal length fo=900f_o = 900 mm and clear diameter D=90D = 90 mm, and a thin eyepiece of focal length fe=25f_e = 25 mm placed fo+fef_o + f_e behind it, so that the instrument is afocal. The objective rim is the aperture stop. A circular field ring of diameter 1515 mm is mounted in the common focal plane of the two lenses. Rays are paraxial and light travels left to right. ((a)) How far behind the eyepiece is the exit pupil, and what is its diameter? ((b)) What full angular width of sky (in degrees) does the field ring admit? ((c)) Through what full angle (in degrees) does that sky appear to the eye at the exit pupil? Use the ratio fo/fef_o/f_e for the angular magnification.

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