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

  • question_answer
    Ice starts forming in lake with water at \[{{0}^{o}}C\] and when the atmospheric temperature is \[-{{10}^{o}}C\]. If the time taken for 1 cm of ice be 7 hours, then the time taken for the thickness of ice to change from 1 cm to 2 cm is [NCERT 1971; MP PMT/PET 1988; UPSEAT 1996]

    A)            7 hours                                   

    B)            14 hours

    C)            Less than 7 hours               

    D)            More than 7 hours

    Correct Answer: D

    Solution :

                       \[t=\frac{\rho L}{2K\theta }(x_{1}^{2}-x_{2}^{2})\]Þ\[t\propto (x_{2}^{2}-x_{1}^{2})\] Þ \[\frac{t}{t'}=\frac{(x_{2}^{2}-x_{1}^{2})}{(x{{'}_{2}}^{2}-x{{'}_{1}}^{2})}\]Þ \[\frac{9}{t'}=\frac{({{1}^{2}}-{{0}^{2}})}{({{2}^{2}}-{{1}^{2}})}\] Þ \[t'=21\,hours\]


You need to login to perform this action.
You will be redirected in 3 sec spinner