Answer:
tex]2.898\times 10^{-7}\ \text{m}[/tex] ultraviolet region
x-ray region
Explanation:
T = Temperature
b = Constant of proportionality = ![2.898\times 10^{-3}\ \text{m K}](https://tex.z-dn.net/?f=2.898%5Ctimes%2010%5E%7B-3%7D%5C%20%5Ctext%7Bm%20K%7D)
= Wavelength
![T=10^4\ \text{K}](https://tex.z-dn.net/?f=T%3D10%5E4%5C%20%5Ctext%7BK%7D)
From Wein's law we have
![\lambda=\dfrac{b}{T}\\\Rightarrow \lambda=\dfrac{2.898\times 10^{-3}}{10^4}\\\Rightarrow \lambda=2.898\times 10^{-7}\ \text{m}](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7Bb%7D%7BT%7D%5C%5C%5CRightarrow%20%5Clambda%3D%5Cdfrac%7B2.898%5Ctimes%2010%5E%7B-3%7D%7D%7B10%5E4%7D%5C%5C%5CRightarrow%20%5Clambda%3D2.898%5Ctimes%2010%5E%7B-7%7D%5C%20%5Ctext%7Bm%7D)
The wavelength of the radiation will be
and it is in the ultraviolet region.
![T=10^7\ \text{K}](https://tex.z-dn.net/?f=T%3D10%5E7%5C%20%5Ctext%7BK%7D)
![\lambda=\dfrac{2.898\times 10^{-3}}{10^7}\\\Rightarrow \lambda=2.898\times 10^{-10}\ \text{m}](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7B2.898%5Ctimes%2010%5E%7B-3%7D%7D%7B10%5E7%7D%5C%5C%5CRightarrow%20%5Clambda%3D2.898%5Ctimes%2010%5E%7B-10%7D%5C%20%5Ctext%7Bm%7D)
The wavelength of the radiation will be
and it is in the x-ray region.
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