Show that the Stefan–Boltzmann constant must have the dimensional formula if the…

PHYSICS · Subjective · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

Show that the Stefan–Boltzmann constant

\sigma

must have the dimensional formula

M\,T^{-3}\,\Theta^{-4}

if the total emissive power of a blackbody is given by

E = \sigma T^{4}