Q. Dimensional formula of Stefan’s constant is
A) $\left\lbrack {MT}^{- 3}K^{- 4} \right\rbrack$
B) $\left\lbrack {ML}^{2}T^{- 2}K^{- 4} \right\rbrack$
C) $\left\lbrack {ML}^{2}T^{- 2} \right\rbrack$
D) $\left\lbrack {MT}^{- 2}L^{0} \right\rbrack$
Explanation
By Stefan’s law, $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ E = \sigma T^{4}$ Where $\sigma$ is the Stefan’s constant $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \sigma = \frac{E}{T^{4}}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \lbrack\sigma\rbrack = \frac{\lbrack E\rbrack}{T^{4}} = \frac{\left\lbrack ML^{2}T^{- 2} \right\rbrack}{\left\lbrack K^{4} \right\rbrack}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \left\lbrack ML^{2}T^{- 2}\ K^{- 4} \right\rbrack$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.