Please Help me with the following Astronomy Question?

Question

If a wavelenght unit is used is microns (of which there are 1,000,000 microns in a meter, Wien;s Law becomes

[Lamboa (Greek Letter for L)]peak * T = 3,000

Use this form of Wien's Law to complete the following.

1. If I have 30,000 of Temperature, what would be the wavelenght in microns?

2. If I have 6,000 of Temperature, what would be the wavelenght in microns?

3. If I have 12,000 of Temperature, what would be the wavelenght in microns?

4. If I have 300 of Temperature, what would be the wavelenght in microns?

5. If I have 0.2 of Wavelenght in Microns, what would be the temperature?

6. If I have 0.2 of Wavelenght in Microns, what would be the temperature?

7. If I have 3 of Wavelenght in Microns, what would be the temperature?

8. If I have 1.5 of Wavelenght in Microns, what would be the temperature?

9. If I have 0.03 of Wavelenght in Microns, what would be the temperature?

Please tell me which answer is for which question.

Answer 1

Hey, we did this today!
Just, haha, use λ = 3000/Τ
(λ = wavelength in microns, T in kelvin).
How hard is it?
1. λ = 3000/30.000 = 0,1 (microns)
2. λ = 3000/6.000 = 0,5 (microns) and so on.

Answer 2

A hot solid or a hot gas under pressure radiates light on all frequencies of the spectrum. Wien's Law goes a little bit further and tells us where the maximum intensity of that radiation will occur on the spectrum. The relationship
l=b / T is based on the Kelvin and the meter. The constant, b, is 2.897x10^(-3)mK. l=lambda max and T=temperature in Kelvin.
If you want to work with microns, you will have to adjust the units to compensate.
When given temperature, you can use the format l=b/T. When given wavelength, you can use the format T=b/l.

The people who are in this forum will almost always point you in the right direction, but we generally do not do your homework for you.

Answer 3

how do you expect us to answer all that in one day???