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JEE Main & Advanced Physics Transmission of Heat Question Bank Radiation Stefan's law

  • question_answer
    A metal ball of surface area \[200\ c{{m}^{2}}\] and temperature \[{{527}^{o}}C\] is surrounded by a vessel at \[{{27}^{o}}C\]. If the emissivity of the metal is 0.4, then the rate of loss of heat from the ball is \[(\sigma =5.67\times {{10}^{-8}}J/{{m}^{2}}\ -s-{{k}^{4}})\]                                                     [MP PMT/PET 1988]

    A)            108 joules approx.             

    B)            168 joules approx.

    C)            182 joules approx.             

    D)            192 joules approx.

    Correct Answer: C

    Solution :

                       Rate of heat loss \[E=\sigma \,eA({{T}^{4}}-T_{0}^{4})\]                    \[=5.67\times {{10}^{-8}}\times 0.4\times 200\times {{10}^{-4}}\]´\[[{{(273+527)}^{4}}-{{(273+27)}^{4}}]\]            \[=5.67\times {{10}^{-8}}\times 0.4\times 200\times {{10}^{-4}}\]´\[{{(800)}^{4}}-{{(300)}^{4}}\]=182J/sec


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