At a simple temperature the thermal radiation transmits by an object is not visible, most of it is related in wavelengths much longer than those of visible waves.
Figure denotes how the energy of a black object radiation varies with wavelength and temperature. As the temperature of the black system increases, two different behaviors are observed. The first effect is that the peak of the distribution shifts to shorter wavelengths. That shift if found to follow the following relationship is known as Wein's displacement law
λmaxT = b
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Here b is a constant known as Wein's constant. The value of that constant in SI unit is 2.898 ´ 10-3 m-K. Thus,
Here λmax is the wavelength related to the maximum spectral emissive power eλ.
The second part is that the total amount of energy the black body transmits per unit area per unit time (=σT4) increases with fourth energy of absolute temperature T. That is also called as the emissive power. We take that
e = = Area under eλ-λ graph
= σ T4 or Area ∝ T4
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Power of black body radiation versus wavelength at three temperatures. Note that the amount of radiation emitted (the area under a curve) increase with increasing temperature.
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A2 = (2)4A1 = 16A1
Thus, if the temperature of the black object is creating two fold, λmax remains half while the area converts into 16 times.
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