JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions Question Bank Units

  • question_answer
    The unit of Stefan's constant \[\sigma \] is [AFMC 1986; MP PET 1992; MP PMT 1992; CBSE PMT 2002]

    A) \[W\,{{m}^{-2}}\,{{K}^{-1}}\].

    B) \[W\,{{m}^{2}}\,{{K}^{-4}}\]

    C) \[W\,{{m}^{-2}}\,{{K}^{-4}}\]

    D) \[W\,{{m}^{-2}}\,{{K}^{4}}\]

    Correct Answer: C

    Solution :

    Stefan's law is \[E=\sigma ({{T}^{4}})\]? \[\sigma =\frac{E}{{{T}^{4}}}\] where,\[E=\] \[\frac{\text{Energy}}{\text{Area}\times \text{Time}}\] \[=\frac{\text{Watt}}{{{m}^{\text{2}}}}\] \[\sigma =\frac{\text{Watt-}{{m}^{-2}}}{{{K}^{4}}}=Watt-{{m}^{-2}}{{K}^{-4}}\]


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