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How does the light-gathering power of a 6-m telescope compare with that of the h

ID: 802687 • Letter: H

Question

How does the light-gathering power of a 6-m telescope compare with that of the human eye? (Hint: Assume that the pupil of your eye can open to about 0.008 m.)

a) 562,500

b) 36

c) 640

d) 5,625

e) 56,250

Which is true about a prism spectrograph?

a) All of these choices are true

b)It divides light into the individual components of its spectrum

c) It is not caused by refraction

d) The prism has replaced the grating as the operative element in the spectrograph

Most of Galileo's telescopes had objective lenses which were only about 2 cm in diameter. Theoretically, should he have been able to resolve two stars 19 seconds of arc apart? (Hint: resolving power in seconds of arc = 0.113/diameter of objective in meters)

a) This cannot be determined because not enough information is given

b) Yes, because the objective is sufficiently large

c) No, because the objective is not sufficiently large

Explanation / Answer

Answer for first question

Answer is a) 562,500

We can write 6 m to 600 cm

We can write0.008 m to 0.8 cm

From formula LGP6-m/LGP eye

The ration is (600)^2/(0.8)^2=562,500.

Answer is 562,500.

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