(a) What is the angular separation of two stars if their images are barely resolved by the Thaw refracting telescope at the Allegheny Observatory in Pittsburgh? The lens diameter is 76 cm and its focal length is 14 m. Assume l = 550 nm. (b) Find the distance between these barely resolved stars if each of them is 10 light-years distant from Earth. (c) For the image of a single star in this telescope, find the diameter of the first dark ring in the diffraction pattern, as measured on a photographic plate placed at the focal plane of the telescope lens. Assume that the structure of the image is associated entirely with diffraction at the lens aperture and not with lens “errors.”

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter27: Wave Optics
Section: Chapter Questions
Problem 13OQ: Why is it advantageous to use a large-diameter objective lens in a telescope? (a) It diffracts the...
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(a) What is the angular separation of two stars if their images
are barely resolved by the Thaw refracting telescope at the
Allegheny Observatory in Pittsburgh? The lens diameter is 76 cm
and its focal length is 14 m. Assume l = 550 nm. (b) Find the distance
between these barely resolved stars if each of them is 10
light-years distant from Earth. (c) For the image of a single star in
this telescope, find the diameter of the first dark ring in the diffraction
pattern, as measured on a photographic plate placed at the
focal plane of the telescope lens. Assume that the structure of
the image is associated entirely with diffraction at the lens aperture
and not with lens “errors.”

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