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NEET Sample Paper NEET Sample Test Paper-14

  • question_answer
    A fully charged capacitor has a capacitance C. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity s and mass m. If the temperature of the block is raised by \[\Delta \,T,\] the potential difference V across the capacitance is:

    A) \[\frac{ms\Delta T}{C}\]            

    B) \[\sqrt{\frac{2ms\Delta T}{C}}\]

    C) \[\sqrt{\frac{2mC\Delta T}{s}}\]

    D) \[\frac{mC\Delta T}{s}\]

    Correct Answer: B

    Solution :

    Energy stored in capacitor \[=\frac{1}{2}C{{V}^{2}}.\] Heat absorbed/produced \[=ms\Delta T\]. If there is no loss of energy, then\[\frac{1}{2}C{{V}^{2}}.=ms\Delta T\] \[V=\sqrt{\frac{2sm\Delta T}{C}}.\] Hence, the correction option is [b].


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