Simple Black Body Radiation Question

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SUMMARY

The discussion centers on calculating the temperature ratio between two stars based on their emitted radiation, where one star emits radiation 16 times greater than the other. The relevant equations include Wien's Displacement Law, represented as λ x T = 2.90 x 10^-3, and the Stefan-Boltzmann Law, I = σT^4. The user correctly identifies that the temperature ratio T2/T1 equals 16, but seeks clarification on which law to apply for the calculation. The consensus is to utilize both laws appropriately based on the context of the problem.

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Lavace
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Homework Statement


The total radiation emitted by a certain star is a factor 16 times that of a second star of equal size. Calculate the ratio between the temperatures of the star.

Homework Equations


lamda x T = 2.90x10^-3

The Attempt at a Solution


16I = I

Therefore, Wiens Displacement law (above):
16I x T1 = I x T2
Where I is equal on both sides.

T2/T1 = 16
I'm not too sure on what equations to apply to this! Do I use just Wien's Displacement Law and put them together? Doesn't look right (not supplied with answers).
Or do I use the Stefan Boltzmann Law (I = oT^4)?

How do I know which law to use?
Any help is greatful!
 
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Lavace said:

Homework Statement


The total radiation emitted by a certain star is a factor 16 times that of a second star of equal size. Calculate the ratio between the temperatures of the star.

Homework Equations


lamda x T = 2.90x10^-3

The Attempt at a Solution


16I = I

Therefore, Wiens Displacement law (above):
16I x T1 = I x T2
Where I is equal on both sides.

T2/T1 = 16
I'm not too sure on what equations to apply to this! Do I use just Wien's Displacement Law and put them together? Doesn't look right (not supplied with answers).
Or do I use the Stefan Boltzmann Law (I = oT^4)?

How do I know which law to use?
Any help is greatful!

Just look for the definitions of the Wien's Displacement Law and the Stefan-Boltzmann Law. What are they measuring? What are I, λ and T?
 

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