Question

The dimensions of Stefan’s constant are

• A. $[M^0 \,L^1\, T^{-3} \,K^{-4}]$
• B. $[M\, L^1\, T^{-3}\, K^{-3}]$
• C. $[M\, L^2\, T^{-3}\, K^{-4}]$
• D. $[M \,L^0\, T^{-3} \,K^{-4}]$

Answer 1

Answer: (D)

Stefan's constant is given by $\sigma=\frac{E}{A t \theta^{4}}$
where $E$ is energy radiated, $A$ is surface area of body, $t$ is time and $\theta$ is the absolute temperature.
$\therefore $ Dimensions of Stefan's constant
$=\frac{\left[ ML ^{2} T ^{-2}\right]}{\left[ L ^{2} \times T \times K ^{4}\right]}$
$=\left[ ML ^{0} T ^{-3} K ^{-4}\right]$