AIIMS AIIMS Solved Paper-2014

  • question_answer
    Silver and copper voltmeters are connected in parallel with a battery of emf 12 V. In 30 min 1 g of silver and 1.8 g of copper are liberated. The energy supplied by the battery is

    A) 720 J                                     

    B) 2.41 J

    C) 24.12 J                  

    D) \[4.34\times {{10}^{4}}\text{J}\]

    Correct Answer: D

    Solution :

    Current in silver voltmeter \[{{i}_{1}}=\frac{{{m}_{1}}}{{{z}_{1}}{{t}_{1}}}\] \[=\frac{1}{(11.2\times {{10}^{-4}})}\times (30\times 60)\] \[=0.5A\] \[{{i}_{2}}=\frac{{{m}_{2}}}{{{z}_{2}}{{t}_{2}}}\] \[{{i}_{2}}=\frac{1.8}{(6.6\times {{10}^{-4}})\times (30\times 60)}\] \[=1.82A\] So, the total current gives by battery \[i={{i}_{1}}+{{i}_{2}}=2.01A\] Energy supplied by battery \[=EiL\] \[\text{W}=\left( \text{12} \right)\times \left( \text{2}.0\text{1} \right)\times \left( \text{3}0\times \text{6}0 \right)\] \[=4.34\times {{10}^{4}}J\]


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