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