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

  • question_answer
    There is formation of layer of snow \[x\,cm\] thick on water, when the temperature of air is \[-{{\theta }^{o}}C\] (less than freezing point). The thickness of layer increases from \[x\]  to \[y\] in the time \[t\], then the value of \[t\]is given by

    A)            \[\frac{(x+y)(x-y)\rho L}{2k\theta }\]                           

    B)            \[\frac{(x-y)\rho L}{2k\theta }\]

    C)            \[\frac{(x+y)(x-y)\rho L}{k\theta }\]                             

    D)            \[\frac{(x-y)\rho Lk}{2\theta }\]

    Correct Answer: A

    Solution :

                       Since \[t=\frac{\rho L}{2k\theta }(x_{2}^{2}-x_{1}^{2})\]                       \[\therefore \]\[t=\frac{\rho L}{2k\theta }({{x}^{2}}-{{y}^{2}})=\frac{\rho L(x+y)(x-y)}{2K\theta }\]


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