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Physics
Dimensions of Stefan's constant is
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Q. Dimensions of Stefan's constant is
Manipal
Manipal 2020
A
$\left[M L T^{-3} \theta^{-4}\right]$
B
$\left[M T^{-3} \theta^{-4}\right]$
C
$\left[M^{2} T^{-3} \theta^{-4}\right]$
D
$\left[M^{2} T^{-2} \theta^{-4}\right]$
Solution:
Stefan's constant, $\sigma=\frac{E}{T^{4}}$ (where, $E$ is energy/s area)
$=\frac{\left[M L^{2} T^{-2}\right]}{[T]\left[L^{2}\right]\left[\theta^{4}\right]}=\left[M T^{-3} \theta^{-4}\right]$