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This question involves the concepts of Wein's displacement law and characteristic wavelength.
The blackbody temperature will be "3.22 x 10⁵ k".
According to Wein's displacement law,
[tex]\lambda_{max} T = c\\\\T=\frac{c}{\lambda_{max}}[/tex]
where,
Therefore,
[tex]T=\frac{2.897\ x\ 10^{-3}\ m.k}{9\ x\ 10^{-9}\ m}[/tex]
T = 3.22 x 10⁵ k
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