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

Question

Quizplus · Accepted Answer

Wien's displacement law states that the wavelength of maximum emission is inversely proportional to the temperature of the object. The Earth's temperature is approximately 300 K, so the wavelength of maximum emission is:$$\lambda_{max} = \frac{b}{T} = \frac{2.898 	imes 10^{-3} 	ext{ m K}}{300 	ext{ K}} = 9.66 	imes 10^{-6} 	ext{ m}$$This is closest to choice A, 10^-5 m.

At What Wavelength Does Your Body Radiate the Most Given