JEE Main & Advanced Physics Transmission of Heat Question Bank Topic Test - Transmission of Heat (3-5-21)

  • 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 \[(\sigma =5.67\times {{10}^{-8}}J/{{m}^{2}}\ -s-{{k}^{4}})\]                 

    A) 108 joules approx.

    B) 168 joules approx.

    C) 182 joules approx.

    D) 192 joules approx.

    Correct Answer: C

    Solution :

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

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