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AP EAMCET · PHYSICS · Capacitance

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. A \(\begin{aligned} & \left(\frac{\mathrm{ms} \Delta \mathrm{t}}{\mathrm{C}}\right)^2 \end{aligned}\)
  2. B \(\begin{aligned}& \left(\frac{2 \mathrm{~ms} \Delta \mathrm{t}}{\mathrm{C}}\right)^{1 / 2} \end{aligned}\)
  3. C \(\begin{aligned} &\frac{\mathrm{ms} \Delta \mathrm{t}}{\mathrm{C}}\end{aligned}\)
  4. D \(\begin{aligned}& \frac{3 \mathrm{~ms} \Delta \mathrm{t}}{\mathrm{C}}\end{aligned}\)
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(B) \(\begin{aligned}& \left(\frac{2 \mathrm{~ms} \Delta \mathrm{t}}{\mathrm{C}}\right)^{1 / 2} \end{aligned}\)

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