Given, By using Stefan's law, P=σAeT4 where, P= power, σ= Stefan's constant A= area, e= emissivity, and T= temperature. ∴[σ]=[
P
AeT4
]=[
ML2T−2
L2T1K4
]=[ML0T−3K−4]... (i) Now, By Wien's displacement law, [λT]= constant =[b]=[M0L1K1]... (ii) where, λ= wavelength, T= temperature, and b= Stefan's constant. Now, quadrating the power of Eq. (ii) and multiply by Eq. (i), we get ∴[σb4]=[ML0T−3K−4][M0L1K1]4 =[ML0T−3K−4][M0L4K4] =[M1L4T−3]