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660.


Problem 46.19 (RHK)


We have to find the separation of two points on the Moon’s surface that can just be resolved by the 200-in. (5.08-m) telescope at Mount Palomar, assuming that this distance is determined by diffraction effects. We may assume a wavelength of 565 nm.


Solution:           Click For PDF Version

The mean orbital radius of the Moon from the Earth is

We will use Rayleigh’s criterion that two objects must have an angular separation at least to be resolvable by a lens of aperture d using light of wavelength .

Data of the problem are

Therefore,

The separation of two points on the Moon that can be resolved by the Mount Palomar telescope will therefore be