DUMET Medical DUMET Medical Solved Paper-2005

  • question_answer
    Hailstone at \[{{0}^{o}}C\] falls from a height of 1 km on an insulating surface converting whole of its kinetic energy into heat. What part of it will melt? \[(g=10\,m/{{s}^{2}})\] (Latent heat of ice \[=3.34\times {{10}^{5}}J/kg\])

    A)  \[\frac{1}{33}\]

    B)  \[\frac{1}{18}\]

    C)  \[\frac{3}{3}\times {{10}^{-4}}\]       

    D)  All of it will melt

    Correct Answer: A

    Solution :

     Key Idea: Hailstone possesses potential energy due to its height. Let k be the fraction of ice that melts. Hence. potential energy \[=k\times \] latent heat \[mgh=k\,mL\] \[\Rightarrow \] \[k=\frac{gh}{L}\] \[=\frac{10\times 1000}{3.34\times {{10}^{5}}}\approx \frac{1}{33}\]


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