- #1
JoAstro
- 14
- 0
moved into h/w help, so template is missing
I am trying to find the temperature of a star given its wavelength in micrometres, but I am not sure if my conversion is right therefore don't know if the answer is correct.
Star A has a maximum emission wavelength of 1 μm and Radius 100 Rsun. What is its Effective Temperature and Luminosity?
Where 109 is the μm → metre conversion.
1μm → 1000nm
So, 1000nm / 109m = 1×10-6m
Finding the Temperature:
T = 0.0029K m / λmax
T = 0.0029K m / 1×10-6m
T= 2.9×10-9 K → (how do I put this value into millions and not in scientific notation?)
Given the result and assuming it is correct we find the luminosity with the surface area and Stephan-Boltzman Law as shown below:
L= 4πR2 σT4 where σ is the Stephan-Boltzman constant.
My confusion here is, how do I plug the value of the Radius since I have it in Solar Radius?
Star A has a maximum emission wavelength of 1 μm and Radius 100 Rsun. What is its Effective Temperature and Luminosity?
Where 109 is the μm → metre conversion.
1μm → 1000nm
So, 1000nm / 109m = 1×10-6m
Finding the Temperature:
T = 0.0029K m / λmax
T = 0.0029K m / 1×10-6m
T= 2.9×10-9 K → (how do I put this value into millions and not in scientific notation?)
Given the result and assuming it is correct we find the luminosity with the surface area and Stephan-Boltzman Law as shown below:
L= 4πR2 σT4 where σ is the Stephan-Boltzman constant.
My confusion here is, how do I plug the value of the Radius since I have it in Solar Radius?