(D) According to Stefan-Boltzmann law, the radiant energy emitted per unit area per unit time is proportional to the fourth power of the absolute temp

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(D) According to Stefan-Boltzmann law, the radiant energy emitted per unit area per unit time is proportional to the fourth power of the absolute temperature:$E \propto T^4$Let $E_1 = E$ at temperature $T_1 = T$.Let $E_2$ be the new radiant energy at temperature $T_2 = \frac{T}{2}$.Using the ratio method:$\frac{E_2}{E_1} = \left(\frac{T_2}{T_1}\right)^4$Substituting the values:$\frac{E_2}{E} = \left(\frac{T/2}{T}\right)^4 = \left(\frac{1}{2}\right)^4$$\frac{E_2}{E} = \frac{1}{16}$$E_2 = \frac{E}{16}$

Class 11 Physics 10-2.Heat Transfer Radiation by Stefan's Boltzmann Law

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$A$ black body radiates energy at the rate of $E \text{ W/m}^2$ at a high temperature $T \text{ K}$. When the temperature is reduced to $\left(\frac{T}{2}\right) \text{ K}$, the radiant energy is

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A
$\frac{E}{2}$
B
$2 E$
C
$\frac{E}{4}$
D
$\frac{E}{16}$

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10-2.Heat Transfer

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Radiation by Stefan's Boltzmann Law

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$A$ black body radiates energy at the rate of $E \text{ W/m}^2$ at a high temperature $T \text{ K}$. When the temperature is reduced to $\left(\frac{T}{2}\right) \text{ K}$, the radiant energy is

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