Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2007

  • question_answer
    Two identical vessels made up of same material are filled with same amount of ice. If in the vessels the ice melts in time \[{{t}_{1}}\] and \[{{t}_{2}}\] respectively, then the ratio of their thermal conductivities will be

    A)  \[{{t}_{2}}:{{t}_{1}}\]                                    

    B)  \[{{t}_{1}}:{{t}_{2}}\]

    C) \[t_{2}^{2}:t_{1}^{2}\]                                  

    D) \[t_{1}^{2}:t_{2}^{2}\]

    Correct Answer: A

    Solution :

    Heat transferred \[Q=\frac{KA\Delta \theta t}{l}\] Here A, \[\Delta \theta ,\] \[l\]and Q are same, therefore                 \[{{K}_{1}}{{t}_{1}}={{K}_{2}}{{t}_{2}}\] or            \[\frac{{{K}_{1}}}{{{K}_{2}}}=\frac{{{t}_{2}}}{{{t}_{1}}}\]


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