Let's assume that a cluster of total mass 2000 Msun follows a Kroupa IMF, with stellar masses
between 0.1 Msun and 100 Msun-
Determine the number and total mass of stars between the following two mass ranges: [0.1-
1] Msun and [1-100] Msun .
How does that compare to what vou would obtain if the IMF of that
cluster was following the mass function of dN/dm is a = 1.3 for [0.1-1] Msun and a = 4.0
for [1-100] Msun). Where do you think the differences come from?
As the cluster evolves, its luminosity changes. Determine the relation Lclus (t) (the cluster
luminosity as a function of time) knowing that the luminosity of a star of mass m is given by
Lo and its main sequence lifetime is tms =
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