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 AT, the potential difference V across the capacitance is [AIEEE 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 :

[d] 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