A fully charged capacitor of capacity ' $\mathrm{C}$ ' is discharged through a small resistance wire…

A fully charged capacitor of capacity ' $\mathrm{C}$ ' is discharged through a small resistance wire embedded in a solid block of specific heat ' $\mathrm{s}$ ' and mass ' $\mathrm{m}$ ' under thermally isolated conditions. If the temperature of the block is raised by $\Delta \mathrm{T}$, the initial potential difference across the capacitor is
  1. $\begin{aligned} & \left(\frac{\mathrm{ms} \Delta \mathrm{t}}{\mathrm{C}}\right)^2 \end{aligned}$
  2. $\begin{aligned}& \left(\frac{2 \mathrm{~ms} \Delta \mathrm{t}}{\mathrm{C}}\right)^{1 / 2} \end{aligned}$
  3. $\begin{aligned} &\frac{\mathrm{ms} \Delta \mathrm{t}}{\mathrm{C}}\end{aligned}$
  4. $\begin{aligned}& \frac{3 \mathrm{~ms} \Delta \mathrm{t}}{\mathrm{C}}\end{aligned}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (26 Apr Shift 2)

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