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How long would one need to observe a star on a 10 meter telescope to collect the same amount of light as...

Question 6
How long would one need to observe a star on a 10 meter telescope to collect the same amount of light as one collects in one hour on a 5 meter telescope?
○ 4 minutes
○ 30 minutes
○ 2.5 hours
○ 15 minutes
○ 1 hour
Question 7
A new planet orbits its star faster than the Earth orbits the Sun and it rotates more slowly than the Earth rotates. Which of the following is true?
○ The new planet has a longer year than Earth and a shorter day than Earth.
○ The new planet has a shorter year than Earth and a longer day than Earth.

Answer

  1. Question 6: The light-gathering power of a telescope is proportional to the area of its aperture, which is proportional to the square of the diameter. A 10 meter telescope has 4 times the area of a 5 meter telescope (since (10/5)^2 = 4). Therefore, it would take 1/4 of the time to collect the same amount of light. 1 hour / 4 = 15 minutes. Answer: 15 minutes

  2. Question 7: If the new planet orbits its star faster than Earth orbits the Sun, it has a shorter year. If it rotates more slowly than Earth, it has a longer day. Answer: The new planet has a shorter year than Earth and a longer day than Earth.

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