Answer :
This question involves the concepts of Wein's displacement law and characteristic wavelength.
The blackbody temperature will be "3.22 x 10⁵ k".
WEIN'S DISPLACEMENT LAW
According to Wein's displacement law,
[tex]\lambda_{max} T = c\\\\T=\frac{c}{\lambda_{max}}[/tex]
where,
- [tex]\lambda_{max}[/tex] = characteristic wavelength = 9 μm = 9 x 10⁻⁹ m
- T = temperature = ?
- c = Wein's displacment constant = 2.897 x 10⁻³ m.k
Therefore,
[tex]T=\frac{2.897\ x\ 10^{-3}\ m.k}{9\ x\ 10^{-9}\ m}[/tex]
T = 3.22 x 10⁵ k
Learn more about characteristic wavelength here:
https://brainly.com/question/14650107