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     AIEEE  Solved  Paper-2005

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

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

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

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

Correct Answer: D

Solution :

The energy stored in the capacitor                                        ...(i) The energy stored in capacitor is lost in the form of heat energy.                                  ...(ii) From Eqs. (i) and (ii), we have