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There is an almost isotropic radiation coming to Earth from outer space from all direction, the so-called background radiation. This radiation corresponds to a temperature of 3 K. To which wavelength should we tune our antenna in order to detect this radiation?A. 966 mmB. 8.69 mmC. 8.69 μmD. 966 μm

Respuesta :

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

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