MHT CET2019Morning ShiftPhysicsUnits and DimensionsActual
The SI unit an dimension of Stefan’s constants σ in case of Stefan’s law of radiation is
Options
- AJ m 3 s 4 , M 1 L 0 T - 3 K - 4
- BJ m 2 s 4 K , M 1 L 0 T - 3 K 3
- CJ m 3 s K 4 , M 1 L 0 T - 3 K 4
- DJ m 2 s K 4 , M 1 L 0 T - 3 K - 4
Correct answer
D. J m 2 s K 4 , M 1 L 0 T - 3 K - 4
Step-by-step solution
According to Stefan’s law, energy emitted by a body per unit area per second is proportional to fourth power of the absolute temperature. E = σ T 4 where, E = energy emitted/areas/second, T = absolute temperature in kelvin And σ = Stefan’s constant ⇒ σ = E T 4 Unit of Stefan’s constant ⇒ J m 2 s K 4 = J m 2 s K 4 Dimensions of Stefan’s constant, σ E n e r g y A r e a × T i m e × T e m p e r a t u r e 4 = M L 2 T - 2 L 2 T × K 4 = M 1 L 0 T - 3 K - 4