JEE Main & Advanced Physics Transmission of Heat Question Bank Critical Thinking

  • question_answer
    A 5cm thick ice block is there on the surface of water in a lake. The temperature of air is ?10°C; how much time it will take to double the thickness of the block (L = 80 cal/g, Kicc = 0.004 Erg/s-k, dice = 0.92 g cm?3) [RPET 1998]

    A)            1 hour                                     

    B)            191 hours

    C)            19.1 hours                             

    D)            1.91 hours

    Correct Answer: C

    Solution :

                        \[t=\frac{Ql}{KA({{\theta }_{1}}-{{\theta }_{2}})}=\frac{mLl}{KA({{\theta }_{1}}-{{\theta }_{2}})}=\frac{V\rho Ll}{KA({{\theta }_{1}}-{{\theta }_{2}})}\] \[=\frac{5\times A\times 0.92\times 80\times \frac{5+10}{2}}{0.004\times A\times 10\times 3600}=19.1\,hours\].


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