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 ‘∆T’. The potential difference V across the capacitance

$square root of fraction numerator 2 mC increment straight T over denominator straight s end fraction end root$
$fraction numerator mC increment straight T over denominator straight s end fraction$
$fraction numerator ms increment straight T over denominator straight C end fraction$
$square root of fraction numerator 2 ms increment straight T over denominator straight C end fraction end root$

Solution

square root of fraction numerator 2 ms increment straight T over denominator straight C end fraction end root

Dimensionally only 4^th option is correct.

For Daily Free Study Material Join wiredfaculty