Question

Dimensions of Stefan's constant is

• A. $\left[ML{T}^{-3}{\theta }^{-4}\right]$
• B. $\left[M{T}^{-3}{\theta }^{-4}\right]$
• C. $\left[M^2{T}^{-3}{\theta }^{-4}\right]$
• D. $\left[M^2{T}^{-2}{\theta }^{-4}\right]$

Answer 1

Answer: (B)

Stefan's constant, $\sigma =\frac{E}{T^4}$ (where, $E$ is energy/s area)
$=\frac{\left[M{L}^2{T}^{-2}\right]}{[T]\left[L^2\right]\left[{\theta }^4\right]}=\left[M{T}^{-3}{\theta }^{-4}\right]$