32.5: The primary mirror of the Hubble Space Telescope is 2.4 m
in diameter. Suppose it is most sensitive to light of wavelength of
820 nm.
a) What is the diffraction limited angular resolution
of the Hubble Space Telescope?
b) If the HST were used to look at the surface of the
Moon, what is the minimum distance between two distinguishable
points? (The Moon orbits at a distance of 384000 km from the center
of the Earth which has a radius of 6380 km, the Hat orbits at an
altitude of 569 km.)
c) If the HST were used to look at the surface of
Jupiter, what is the minimum distance between two distinguishable
points? (The orbital radius of the Earth is 150 * 10^6 km, and the
orbital radius of Jupiter is 779 * 10^6 km.)
d) If the HST were used to try to find planets around
a star that was only 20 light years away (very close in
astronomical terms), what is the minimum distance between two
distinguishable points? (c = 3.00 * 10^8 m/s)
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