- #1

Barbequeman

- 8

- 1

- Homework Statement
- A single stellar population is characterized by a single-slope initial mass function 𝜉(𝑀)=𝐴𝑀−(1+𝛽)across the mass interval 200Msun >= M >= 0.05Msun, which includes brown dwarfs.

(a) Calculate the constant A assuming a Salpeter IMF (i.e. = 1.35) and that the total mass fraction between the two extremes is equal to 1.

(b) Which stellar mass corresponds to a 50 % mass fraction?

[ Hint: recall that 𝑀^−𝑥=𝐶 can be rearranged as 𝑀=𝐶^−1/𝑥.]

- Relevant Equations
- Salpeter Mass Function

I calculated the following in the attached file, I hope I did it correctly...