Question

Intensity of heat radiation emitted by body is believed to be proportional to fourth power of absolute temperature of the body. The proportionality constant also known as Boltzmann's constant may have possible value of :

• A. $5.67\times {10}^{-8}watt/K^4$
• B. $5.67\times {10}^{-8}watt/m^2{K}^4$
• C. $5.67\times {10}^{-8}J/K^4$
• D. $5.67\times {10}^{-8}Js/K^4$

Answer 1

The correct option is B $5.67\times {10}^{-8}watt/m^2{K}^4$

From the given question,

$I\propto T^4$

$I=k{T}^4$

where $k=$ Stefan-Boltzmann's constant

$k=5.67\times {10}^{-8}W/m^2{K}^4$

The correct option is B.