Two refracting telescopes are used to look at craters on the Moon. The objective focal length of both telescopes is $95.0 \mathrm{~cm}$, and the eyepiece focal length of both telescopes is $3.80 \mathrm{~cm}$. The telescopes are identical except for the diameter of the lenses. Telescope $\mathrm{A}$ has an objective diameter of $10.0 \mathrm{~cm}$ while the lenses of telescope B are scaled up by a factor of two, so that its objective diameter is $20.0 \mathrm{~cm}$.
a) What are the angular magnifications of telescopes A and B?
b) Do the images produced by the telescopes have the same brightness? If not, which is brighter and by how much?
c) Do the images produced by the telescopes have the same brightness? If not, which is brighter and by how much?
