Answer:
D. 966 μm
Explanation:
b = Wien's displacement constant = [tex]2.89\times 10^{-3}\ mK[/tex]
T = Temperature
[tex]\lambda_m[/tex] = Peak wavelength
Here the Wien's displacement law is used
[tex]\lambda_m=\frac{b}{T}\\\Rightarrow \lambda_m=\frac{2.89\times 10^{-3}}{3}\\\Rightarrow \lambda_m=0.000963\\\Rightarrow \lambda_m=963\times 10^{-6}\ m=963\ \mu m\approx 966\ \mu m[/tex]
The wavelength we should tune our antenna in order to detect this radiation is 966 μm