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MCAT Telescope

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MCAT Telescope Questions

Telescope Type Objective Focal Length (m) Objective Magnification

Diameter (m)

A reflector 16.8 5 336x

B reflector 14.2 3.6 284x

C reflector 10.7 4 214x

D reflector 3.2 0.9 64x

E reflector 18.9 1 378x





17. Which telescope would require the least amount of time to observe a star

800 kpc away? (note: 1 kpc = 3 x 1016 m)







Telescope A: The larger diameter, the larger the light gathering power, the

more efficient the lens, the less time needed





Lg  D 2 Since looking at point object far away

Telescope Type Objective Focal Length (m) Objective Magnification

Diameter (m)

A reflector 16.8 5 336x

B reflector 14.2 3.6 284x

C reflector 10.7 4 214x

D reflector 3.2 0.9 64x

E reflector 18.9 1 378x





18. If an eye has a diameter of 0.5 cm, what is the light gathering power of

Telescope A compared to the eye?



Unclear question if you know about telescopes. Are we looking at a point object or

an extended object? If we blindly follow the reading which is not the whole truth,

we are only given

Lg  D 2



Which is only true of point objects. If this is a point object,



Lgeye   0.005 m   2.5 105 m2

2



Lgtelescope A 25 m2

  106

Lgtelescope A   5 m  25 m2 2.5 105 m2

2

Lgeye

19. Why are large telescopes most often reflecting telescopes?



I. Lenses always magnify more than mirrors

II. Large lenses cannot hold their shape

III. Large lenses produce greater aberration







-Weight of glass deforms under force of gravity, so changes lens shape. In a

reflecting telescope you can ideally paint on a reflecting surface (make it thin)





-One reason large lenses produce greater aberration is the glass causes

colors to travel at different speeds. Different colors will focus in different

places.

Dispersion

The property of wave where different frequencies (colors, if we talk about

light) travel at different speeds through a dense medium. Index of

refraction depends on color of light.

Why does this happen? nucleus

E

k Fbinding   kx



m Electron, -q



Electron responds differently to different frequencies. For example at the

resonance frequency we have the most delay (greatest index of refraction).





In the prism, blue light bends more than red, so

what color travels faster?

20. One of the advantages of using large telescopes as compared to

small telescopes is that:



A. large telescopes magnify distant star images more

B. large telescopes shorten the observing time necessary to

complete an observation

C. large telescopes track a star with greater accuracy.

D. large telescopes have a better dynamic range





A. is only true if the focal length is lengthened at the same time, but it is unclear

that this is the case. The question just considers larger diameter. So B is the only

one that makes sense.

Telescope Type Objective Focal Length (m) Objective Magnification

Diameter (m)

A reflector 16.8 5 336x

B reflector 14.2 3.6 284x

C reflector 10.7 4 214x

D reflector 3.2 0.9 64x

E reflector 18.9 1 378x







21. Which Telescope would enlarge an image of the Andromeda galaxy

the most? :







Don’t over-think this one, the answer is Telescope E. The fact that it is a galaxy just

let’s you know that the telescope will actually be magnifying. Distant point objects

don’t magnify much at all.

22. Which of the following statements describes why the use of mirrors

decreases the degree of chromatic aberration? :



A. Lenses refract light at an angle that depends on its wavelength,

whereas mirror reflect light of all wavelengths at the same

angle.

B. A mirror absorbs much less light in reflecting than a lens

absorbs in refracting

C. Since mirrors are easier to grind accurately than lenses, mirrors

have fewer flaws than lenses.

D. The changes in temperature during the course of an evening

affect mirrors less than lenses



Basically if you use a lens, you will have a prism effect, dispersion. In a

mirror the reflected light does not travel into a dense optical medium like

glass but reflects off of the surface. So with a mirror you will not have

dispersion and therefore no chromatic aberration.

23. The passage states that for observation of faint extended objects,

magnification is not the primary factor. Which of the following best

describes what would happen to an image of a faint galaxy as the

magnification is increased



A. The image would get larger and dimmer, eventually fading

completely because the small amount of light coming from the

galaxy would be spread over a larger image area.

B. The image would remain the same size and become dimmer,

because there is an intrinsic upper limit on how much any

telescope can enlarge an image.

C. The image would get larger indefinitely, remaining at the same

overall brightness, because there is no intrinsic limit on how

much any telescope can enlarge an image.

D. The image would get larger and dimmer, eventually fading

because of dispersion effects.

As you magnify an extended object, it does get magnified and fainter since light is

spread out over a larger area. It doesn’t really fade completely. You could use film

and wait a long time and it would show up.


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