- #1

pat666

- 709

- 0

## Homework Statement

b) Two stars, both of which behave like black bodies, radiate the same total energy per second. The cooler star has a surface temperature, T, and 3.0 times the diameter of the hotter star.

i) What is the temperature of the hotter star in terms of T?

ii) What is the ratio of the peak intensity wavelength of the hotter star to that of the cooler star?

## Homework Equations

## The Attempt at a Solution

Calling the cooler star 1 and the hotter 2

A

_{1}=4[tex]\pi[/tex]r

_{1}

^{2}

A

_{2}=4[tex]\pi[/tex](3r

_{1})

^{2}

P

_{1}=P

_{2}

P=[tex]\epsilon[/tex][tex]\sigma[/tex]AT

^{4}

so P[tex]\propto[/tex]AT and that I think means T [tex]\propto[/tex] 1/A

Here is where I get stuck, not sure if anything I am doing is right (basically just playing to see what happens) and not sure where to go now?