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Question

Question: Unit of Stefan's constant is...

Unit of Stefan's constant is

A

Js−1Js^{- 1}

B

Jm−2s−1K−4Jm^{- 2}s^{- 1}K^{- 4}

C

Jm−2Jm^{- 2}

D

JsJs

Answer

Jm−2s−1K−4Jm^{- 2}s^{- 1}K^{- 4}

Explanation

Solution

Stefan's formula QAt=σT4\frac{Q}{At} = \sigma T^{4}

∴\therefore σ=QAtT4\sigma = \frac{Q}{AtT^{4}} ∴\thereforeUnit of σ=Joulem2×sec⁡×K4\sigma = \frac{\text{Joule}}{m^{2} \times \sec \times K^{4}}= Jm−2s−1K−4Jm^{- 2}s^{- 1}K^{- 4}