NEETPhysicsUnits and Dimensions
The SI unit of the Stefan-Boltzmann constant is
Options
- AJ m ⁻² K ⁻⁴
- BW m ⁻² K ⁻⁴
- CW K ⁻⁴
- DW m ⁻² K ⁴
Correct answer
B. W m ⁻² K ⁻⁴
Step-by-step solution
According to the Stefan-Boltzmann law, the power radiated by a black body is given by: P = A T^4 Where P is the power (in Watts, W ), A is the surface area (in m ^2 ), T is the absolute temperature (in K ), and is the Stefan-Boltzmann constant. Rearranging for : = P A T^4 Substituting the SI units for each quantity: Unit of = W m ^2 K ^4 = W m ⁻² K ⁻⁴ Answer: W m ⁻² K ⁻⁴