(a) You are coordinating a project that aims to map out fields within a very large area of faint, uniform nebulosity in
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(a) You are coordinating a project that aims to map out fields within a very large area of faint, uniform nebulosity in
(a) You are coordinating a project that aims to map out fields within a very large area of faint, uniform nebulosity in the Milky Way Galaxy. Each square arcsecond of the nebula delivers an R-band flux of 1 photon/second/m² at the Earth's surface. Which would suit the project best: a single 10-hour night on the Keck-1 10m telescope equipped with CCD "A", or a full 30-night month on the William Herschel 4.2m telescope equipped with CCD "B"? Justify your answer fully, by comparing (i) the total signal collected over the total field of view; (ii) the total noise in the same total field; and (iii) the overall signal-to-noise ratios. Hints & Information: You may assume that both telescopes have 100% optical throughput, are operating at the same image scale of 0.1 arcsec/pixel, take one exposure every hour, and point to a new field (area) within the nebula for each exposure. You may ignore sky background effects and noise sources other than shot and readout noise. CCD "A" specifications: 37mm x 37mm square sensor, 16.9 million pixels, 60% quantum efficiency in R band, 8 electrons RMS readout noise CCD "B" specifications: 13mm x 13mm square sensor, 1.05 million pixels, 88% quantum efficiency in R band, 5.5 electrons RMS readout noise [10 marks]
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