What is the linear size of the smallest feature on the moon you could resolve with a Galilean telescope that has an objective lens with a diameter of 58.0 mm? Assume that the resolution would be diffraction limited and that the moon is 380,000 km away. Take the wavelength of light as 550 nm, which is near the peak of our sensitivity. Please include units of answer.
= 1.22 * wavelength / diameter
= 1.22 * 550e-9 / 58e-3
= 1.1568e-5 radians
Now,
size of smallest feature (d) can be found as
d = * L
d = 1.1568e-5*380000*1000
d = 4396 m
or
d = 4.396 km
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