1.a What is the focal scale (arcsec mm-¹) of a 20.6 m diameter telescope with an f-ratio of 2.0 ? 1.b How much would you have to bin a CCD with 10 μm pixels to have 2 super-pixels per FWHM when the seeing is 1 arcsec (FWHM)? (The super-pixel is the binned pixel.) 2.a If the same 20.6 m diameter telescope is diffraction-limited in the near-infrared I' band (which for purposes here you should assume has a central wavelength of λ = 1/1.22 μm), what is the image diameter of a point-source? Express in arcsec, and also in pixels (again 10 μm pix-1). 2.b Calculate the same quantities at the diffraction-limit for an 0.206 m diameter telescope (about 8in in diameter) with the same f-ratio, pixel size, and wavelength. 3.a For sky-limited imaging of the same point-source at the diffraction limit, compute the relative increase in S/N between an 2.06 m and 20.6 m diameter telescope with the same system efficiency, f-ratio, and for the same exposure time. Look for simple scaling (please!). 3.b Repeat the calculation with the same conditions as before except for the detector-limited regime, assuming the same detector (read-) noise and pixel size for both telescopes. Look for simple scaling. 3.c Repeat the calculation in (3.a) in the sky-limited regime, but for (the same) seeing-limited conditions. Look for simple scaling. Does your answer change if you are able to re-bin the CCD before read-out? 3.d Repeat the calculation in (3.b) in the detector-limited regime, assuming the same detector (read-) noise and pixel size, but for (the same) seeing-limited conditions, with no detector binning. Look for simple scaling. How does your answer change if you can re-bin the CCD before read-out such that there are the same number of super-pixels sampling the seeing disk?