Question

Dimensional formula of Stefan's constant is

• A. $[M{T}^{-3}{K}^{-4}]$
• B. $[ML{T}^{-2}{K}^{-4}]$
• C. $[M{L}^2{T}^{-2}]$
• D. $[M{T}^{-2}{L}^0]$
• E. $[M{T}^{-4}{L}^0]$

Answer 1

Answer: (B)

By Stefans law, $E=\sigma T^4$
where $\sigma$ is the Stefans constant.
$\therefore$ $\sigma =\frac{E}{T^4}$
or $[\sigma ]=\frac{[E]}{[T^4]}\frac{[ML{T}^{-2}]}{[K^4]}$
$=[ML{T}^{-2}{K}^{-4}]$