PROBLEM The Hubble Space Telescope is 13.2 m long, but has a secondary mirror that increases itseffective focal length to 57.8 m. The telescope doesn't have an eyepiece because various instruments, nota human eye, record the collected light. It can, however, produce images several thousand times largerthan they would appear with the unaided human eye. What focal-length eyepiece used with the Hubblemirror system would produce a magnification of 8.00 x 103?STRATEGY The equation for telescope magnification can be solved for the eyepiece focal length. Theequation for finding the angular magnification of a reflector is the same as that for a refractor.SOLUTIONSolve for f, in the the magnification57.8 mmequation and substitute values.fem 8.00 x 103= 7.23 x 10-3 mLEARN MOREREMARKS The light-gathering power of a telescope and the length of the baseline over which light isgathered are in fact more important than a telescope's magnification, because these two factors contributeto the resolution of the image. A high resolution image can always be magnified so its details can beexamined. A low resolution image, however, is often fuzzy when magnified.QUESTION Which of the following would increase the magnification of a reflecting telescope? (Select allthat apply.)increasing the focal length of the eyepiecedecreasing the focal length of the mirrorincreasing the focal length of the mirrordecreasing the focal length of the eyepieceExamine the expression in the example for the magnification of the telescope in terms of the two focallengths, or equivalently the equation below. Use it to find how changes in focal lengths would affect themagnification.0 h'lfe fom =0. h'lfo fePRACTICE ITUse the worked example above to help you solve this problem. The Hubble telescope is 13.2 m long, buthas a secondary mirror that increases its effective focal length to 57.8 m. (See figure.) The telescopedoesn't have an eyepiece, because various instruments, not a human eye, record the collected light.However, it can produce images several thousand times larger than they would appear with the unaidedhuman eye.What focal length eyepiece used with the Hubble mirror system would produce a magnification of7.95 x 103?

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QUESTION Which of the following would increase the magnification of a reflecting telescope? (Select all that apply.) increasing the focal length of the eyepiece decreasing the focal length of the mirror increasing the focal length of the mirror decreasing the focal length of the eyepiece

QUESTION Which of the following would increase the magnification of a reflecting telescope? (Select all that apply.) increasing the focal length of the eyepiece decreasing the focal length of the mirror increasing the focal length of the mirror decreasing the focal length of the eyepiece

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Applications Of Reflection Of Light

When a light ray (termed as the incident ray) hits a surface and bounces back (forms a reflected ray), the process of reflection of light has taken place.

Sign Convention for Mirrors

A mirror is made of glass that is coated with a metal amalgam on one side due to which the light ray incident on the surface undergoes reflection and not refraction.

Question

PROBLEM The Hubble Space Telescope is 13.2 m long, but has a secondary mirror that increases its
effective focal length to 57.8 m. The telescope doesn't have an eyepiece because various instruments, not
a human eye, record the collected light. It can, however, produce images several thousand times larger
than they would appear with the unaided human eye. What focal-length eyepiece used with the Hubble
mirror system would produce a magnification of 8.00 x 103?
STRATEGY The equation for telescope magnification can be solved for the eyepiece focal length. The
equation for finding the angular magnification of a reflector is the same as that for a refractor.
SOLUTION
Solve for f, in the the magnification
57.8 m
m
equation and substitute values.
fe
m 8.00 x 103= 7.23 x 10-3 m
LEARN MORE
REMARKS The light-gathering power of a telescope and the length of the baseline over which light is
gathered are in fact more important than a telescope's magnification, because these two factors contribute
to the resolution of the image. A high resolution image can always be magnified so its details can be
examined. A low resolution image, however, is often fuzzy when magnified.
QUESTION Which of the following would increase the magnification of a reflecting telescope? (Select all
that apply.)
increasing the focal length of the eyepiece
decreasing the focal length of the mirror
increasing the focal length of the mirror
decreasing the focal length of the eyepiece
Examine the expression in the example for the magnification of the telescope in terms of the two focal
lengths, or equivalently the equation below. Use it to find how changes in focal lengths would affect the
magnification.
0 h'lfe fo
m =
0. h'lfo fe
PRACTICE IT
Use the worked example above to help you solve this problem. The Hubble telescope is 13.2 m long, but
has a secondary mirror that increases its effective focal length to 57.8 m. (See figure.) The telescope
doesn't have an eyepiece, because various instruments, not a human eye, record the collected light.
However, it can produce images several thousand times larger than they would appear with the unaided
human eye.
What focal length eyepiece used with the Hubble mirror system would produce a magnification of
7.95 x 103?

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