The dimensions of Stefan’s constant are

Question

The dimensions of Stefan’s constant are (A) [M0 L1 T-3 K-4] (B) [M L1 T-3 K-3] (C) [M L2 T-3 K-4] (D) [M L0 T-3 K-4]

Tardigrade Admin · Accepted Answer

Stefan's constant is given by σ=(E/A t θ4) where E is energy radiated, A is surface area of body, t is time and θ is the absolute temperature. ∴ Dimensions of Stefan's constant =([ ML 2 T -2]/[ L 2 × T × K 4]) =[ ML 0 T -3 K -4]

Q. The dimensions of Stefan’s constant are

$[M^{0} L^{1} T^{- 3} K^{- 4}]$

$[M L^{1} T^{- 3} K^{- 3}]$

$[M L^{2} T^{- 3} K^{- 4}]$

$[M L^{0} T^{- 3} K^{- 4}]$

Q. The dimensions of Stefan’s constant are

[M0L1T−3K−4]

[ML1T−3K−3]

[ML2T−3K−4]

[ML0T−3K−4]

Stefan's constant is given by σ=Atθ4E​ where E is energy radiated, A is surface area of body, t is time and θ is the absolute temperature. ∴ Dimensions of Stefan's constant =[L2×T×K4][ML2T−2]​ =[ML0T−3K−4]

$[M^{0} L^{1} T^{- 3} K^{- 4}]$

$[M L^{1} T^{- 3} K^{- 3}]$

$[M L^{2} T^{- 3} K^{- 4}]$

$[M L^{0} T^{- 3} K^{- 4}]$