Answer
a. $T=1.61\times10^5K$
b. $\lambda_p =1.3\times10^{-6}m$
Work Step by Step
Use Wien’s law, equation 27–2.
a. $T=\frac{2.90\times10^{-3}m \cdot K}{\lambda_p}$
$$T=\frac{2.90\times10^{-3}m \cdot K}{18.0\times10^{-9}m}=1.61\times10^5K$$
b. $\lambda_p =\frac{2.90\times10^{-3}m \cdot K}{2200K}=1.3\times10^{-6}m$.