At what peak wavelength does your body radiate the most given that your temperature is approximately that of Earth, which is 300 K? A) 10^-5 m B) 10^-3 m C) 10^-2 m D) 10 m E) 1,000 m

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Quizplus · Accepted Answer

Wien's displacement law states that the peak wavelength of blackbody radiation is inversely proportional to its temperature. The formula is:$$\lambda_{max} = \frac{b}{T}$$where:$$\lambda_{max}$$ is the peak wavelength in metersb is Wien's displacement constant, which is 2.898 x 10^-3 m KT is the temperature in KelvinPlugging in the given temperature of 300 K, we get:$$\lambda_{max} = \frac{2.898 	imes 10^{-3} 	ext{ m K}}{300 	ext{ K}} = 9.66 	imes 10^{-6} 	ext{ m}$$This is closest to choice A, 10^-5 m.

At What Peak Wavelength Does Your Body Radiate the Most