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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Chapter1: Units, Trigonometry. And Vectors
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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?
Transcribed Image Text: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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