Answer:
Temperature, T = 1542.10 K
Explanation:
It is given that,
The black body radiation emitted from a furnace peaks at a wavelength of, [tex]\lambda=1.9\times 10^{-6}\ m[/tex]
We need to find the temperature inside the furnace. The relationship between the temperature and the wavelength is given by Wein's law i.e.
[tex]\lambda\propto \dfrac{1}{T}[/tex]
or
[tex]\lambda=\dfrac{b}{T}[/tex]
b = Wein's displacement constant
[tex]\lambda=\dfrac{2.93\times 10^{-3}}{T}[/tex]
[tex]T=\dfrac{2.93\times 10^{-3}}{\lambda}[/tex]
[tex]T=\dfrac{2.93\times 10^{-3}}{1.9\times 10^{-6}\ m}[/tex]
T = 1542.10 K
So, the temperature inside the furnace is 1542.10 K. Hence, this is the required solution.
