A fully charged capacitor has a capacitance ' $C$ ' it is discharged through a small coil of resistance wire…

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 ' $\mathrm{m}$ '. If the temperature of the block is raised by ' $\Delta \mathrm{T}$ '. The potential difference $V$ across the capacitance is
  1. $\sqrt{\frac{2 m C \Delta T}{s}}$
  2. $\frac{\mathrm{mC} \Delta \mathrm{T}}{\mathrm{s}}$
  3. $\frac{\mathrm{ms} \Delta \mathrm{T}}{\mathrm{c}}$
  4. $\sqrt{\frac{2 m s \Delta T}{C}}$

Solution

Dimensionally only $4^{\text {th }}$ option is correct.

Asked in: JEE Main 2005

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