There are two optical telescopes operating at the exact same frequency. The first telescope is a 10m telescope that is planned to be located at the L2 Lagrangain point 1.5 million kilometers past the orbit of the Earth. The second telescope is a 2m telescope that is planned to be placed on the far side fo the moon (average distance to the moon is 380,000 km from the Earth).
a. Which telescope will have the greater light gathering power (10m or 2 m)?
b. Explain your answer to part (a)
If the 10m telescope were placed on the Earth on top of Mauna Kea in Hawaii at 14,000feet insread of L2, which is telescope NOW has the greater light gathering power by what factor.
c. The 10 m telescope has a ______ (greater/smaller) light gathering pwer.
d. by a factor of ____ times
e. Compare your answers to parts (c) and (d) to your answer to part (a). Explain any differences.