Q107 / 150 · MHT CET 2019 (Shift 1) · Physics

The SI unit an dimension of Stefan’s constants σ in case of Stefan’s law of radiation is

  • A
    Jm3s4,M1L0T-3K-4
  • B
    Jm2s4K,M1L0T-3K3
  • C
    Jm3sK4,M1L0T-3K4
  • Correct answer
    D
    Jm2sK4,M1L0T-3K-4

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=σT4
where, E = energy emitted/areas/second,
T = absolute temperature in kelvin
And σ = Stefan’s constant ⇒σ=ET4
Unit of Stefan’s constant
⇒Jm2sK4=Jm2sK4
Dimensions of Stefan’s constant,
σEnergyArea×Time×Temperature4
=ML2T-2L2T×K4=M1L0T-3K-4

Hence, the correct answer is option: 'D'.

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