Problem set due in class, Jan 15. Show your work, neatly.

1) Compare the resolving power and light gathering power of the human eye to a 4-m telescope (4 points) (Answer: for a 0.5 cm eye, a 4 m telescope can resolve 800 times better and has 640,000 times more light gathering power)

2) What is the theoretical resolution of the Hubble Space Telescope at 5000 Angstroms? (4 points) (Answer: 0.05 arcsecs)

3) At what size optical telescope does increasing its diameter fail to increase its resolving power due to the 1 arcsec distortion of the atmosphere? (4 points) (Answer: diameter of 0.13 meters)

4) At what size infrared telescope does increasing its diameter fail to increase its resolving power due to the 1 arcsec distortion of the atmosphere? (4 points) (Answer: diameter of 0.5 meters)

5) You can detect a very faint star on a 1 meter telescope with 5 mins of integration time. How long to you have to expose to detect the star on a 5 meter telescope? (4 points) (Answer: 12 secs)