PROBLEM SET #5

ASTR 1020

 

1. The main-sequence lifetime of the Sun is about 1010 years. What would be the lifetimes of a) a 10-solar mass, 1000 solar luminosity blue giant, and b) an 0.1 solar mass, .001 solar luminosity red dwarf?

2. Calculate the radius of a red supergiant with temperature 3000K and luminosity 10000 solar luminosities. How many planets in our our solar system would be engulfed?

3. Estimate the radius of the Earth if it were collapsed to the density of a White Dwarf.

4. Why will the Sun fail to become a Type I supernova? Why will the binary system Alpha Cen fail to become a Type I supernova? (It is a G2 and K5 star separated by 10AU.)