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Water faucets are often labeled with a red dot for hot water and a blue dot for cold. Given Wien’s law, does this labeling make sense?

Respuesta :

Answer:

No this labeling does not make sense.

Explanation:

Wien's displacement law states that for different temperatures the curve of black body radiation will reach maximum at different wavelengths and is inversely proportional to temperature.

[tex]\lambda_{max}\propto \frac{1}{T}\\\Rightarrow \lambda_{max}=\frac{b}{T}[/tex]

where,

[tex]\lambda_{max}[/tex]= Peak Wavelength

T = Absolute temperature in Kelvin

b = Wien's displacement constant = 2.89×10⁻³ mK

It can be seen that wavelength is inversely proportional to temperature. Red light has maximum wavelength so the temperature will be small. But hot water has more temperature so this labeling does not make sense.