FormulabAmaxTAmax = wavelength peak= constant of proportionality= absolute temperatureT= kelvinb=max=Figure 1-3 Taverage =288 degrees kelvinSource_ ase.tufts.eduQ12 Estimate dmaxjatensity, based on Earth's surface temperature using Wien's Law in Figure 1-3.dmax jntensity =Q13 Estimate kmax iuteusiy, based on Earth's surface temperature using Wien's Lawkmax iutensity =.Q14 What region of the EM spectrum does Amax intensity, emitted by Earth, belong to?Aside: Can the human eye detect this radiation?

Given data: Average temperature of the earth's surface is T= 288 degree Kelvin Formula used: According to Wien's displacement law, for a black body wavelength curve shows different peaks which is inversly proportional to temperature of the black body. Mathematically it can be written as, λmax∝1T Where, T- Temperature By removing proportionality sign. λmax=bT Where, b- Proportionality constant=2.89777195×10−3 m⋅K Maximum Wavenumber is, kmax =2πλmaxCalculation and Answer: (a) According to Wien's Displacement law, Maximum wavelength of the radiation corresponds to earth's average temperature is, λmax=bTλmax=2.89777195×10−3 m⋅K288 Kλmax=1.00617×10-5 m (b) Maximum Wavenumber is, kmax =2πλmaxkmax =23.141.00617×10-5 mkmax =6.281.00617×10-5kmax=624149.0 m-1 (c) The wavelength emitted from the surface of the earth belongs to the near Infrared region to mid Infrared region of Electromagnetic spectrum.