Homework # 1, due 10 Feb1. Show that an extinction ofAλ= 1 magnitude leads toa fluxFλdecrease to 40% of its original value.2. Assuming dust grains are 0.1μm in radius, that thegas density in the ISM isnH= 1 cm−3, and the num-ber density of dust grains isnd= 10−12cm−3anduniformly distribued, find the column densityNHofhydrogen to be expected along a line of sight in whicha source is observed to have an extinctionAV= 1 mag-nitude. What is the mean free path of light along thisline of sight? What is the distance to the source?3. Assume a star cluster has 200 F5 stars at the main
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Mean free path, dust grains, column density NH, ﬂux Fλ decrease