Temperature of a star via its flux

AI Thread Summary
To determine the temperature of a star based on its flux at 450 nm and 650 nm, the relationship between the two flux measurements is key, with the flux at 450 nm being 1.3 times that at 650 nm. The user attempts to calculate the temperature using the equation for monochromatic flux but struggles to find a suitable temperature that satisfies the flux ratio. They are using a range of temperatures from 5 to 50,000 Kelvin without success. Additionally, there is confusion about converting wavelengths from nanometers to frequency. Clarifying the conversion process and ensuring the correct application of the equations may help resolve the issue.
cwolfx2
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Homework Statement



What is the temperature of a star if the flux at 450 nm is measured to be 1.3 times the flux at 650 nm

Homework Equations



To determine monochromatic flux I use:

2πhv3/c2
ex-1

x= hv/kT

The Attempt at a Solution



So basically I plug in the 450 or 640 nm wave lengths for v and using the other constants I try to guess a temperature that when I combine the individual monochromatic fluxes, they will equal 1.3

However I am using values from 5-50000 kelvin for my temperature, and I don't seem to be getting closer to 1.3, what am i missing?
 
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So I've tried this: v3(ehv'/kt)-1= 1.3
(ehv/kt-1) v'3

where as the ' notes the other wavelength..Also how do i turn the nm into frequency?
 
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