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}}] $