Imagine that you are an astronomer, and you are planning to do a survey to find new brown-dwarf stars. You need to calculate how sensitive your search needs to be (and hence how big a telescope you will need and how long the survey will take).
You want to find ten times more brown dwarfs than the previous best survey. This previous survey was sensitive to brown dwarfs with fluxes of 4.0e-16 .
In order to find ten times more brown dwarfs, your survey will need to find all brown dwarfs down to what limiting flux? (in )
You may assume that both the old and new surveys cover 100 square degrees of the sky, but that there is no overlap between the areas covered.
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