Hi, I've got a solution to this problem but I don't know if it's correct. My lecturer hasn't given us any examples but I had a go and the answer seems fine. Here it is:(adsbygoogle = window.adsbygoogle || []).push({});

The IMF of a cluster of stars is: dN[tex]\propto[/tex]m^{-2.5}dm

There are 5 stars in the cluster with mass greater than 10 solar masses.

What is the number of stars with mass greater than 2 solar masses?

I put in 5 for dN, and solved the integral from 10 to infinity, to get the proportionality constant: 237.

Now using the constant, I solved the integral from 2 to 10 to find N in this range of masses. Then I added the 5 stars which are more massive than 10 solar masses.

Final answer: 56 stars.

Seems plausible to me, but I have no way right now of checking the answer.

Thanks a lot for any help!

1. The problem statement, all variables and given/known data

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3. The attempt at a solution

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# Homework Help: Initial Mass Function problem

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