CMC Medical CMC-Medical Ludhiana Solved Paper-2012

  • question_answer
    The two opposite faces of a cubical piece of iron are at \[100{}^\circ C\] and \[0{}^\circ C\] in ice. If the area of surface is 4\[c{{m}^{2}},\] then the mass of ice melted in 10 min will be (Thermal conductivity of iron = 0.2 CGS units)

    A)  5 g                                        

    B)  30 g

    C)  50 g                                      

    D)  300 g

    Correct Answer: D

    Solution :

                    \[Q=mL=KA\frac{({{\theta }_{1}}-{{\theta }_{2}})}{l}t\] \[\Rightarrow \]               \[m=\frac{1}{L}\times KA\frac{({{\theta }_{1}}-{{\theta }_{2}})}{l}\times t\] \[=\frac{1}{80}\times 0.2\times 4\times \frac{(100-0)}{\sqrt{4}}\times 10\times 60\] \[(\because {{l}^{2}}=4\Rightarrow l=\sqrt{4})\] \[=\frac{0.2\times 4\times 100\times 600}{80\times 2}=300\,g\]


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