A fully charged capacitor has a capacitance C. It is discharged through a small coil of resistance wire, embedded in block of specific heat s and mass m under thermally isolated conditions. If the temperature of the block is raised by `Delta T`, the potential difference V across the capacitor initially is

Options

A. `(2 ms Delta T/C)^(2)`
B. `(2 ms Delta T/C)^(1/2)`
C. `(2 ms Delta T/C)`
D. `2ms Delta TC`

Answer

(b)

Explanation

Energy stored in the capacitor ,`E = 1/2 CV^(2)`
If the capacitor is fully discharged , then the energy lost in the form of heat.
`:. Delta H = 1/2 CV^(2)`
`rArr 1/2 CV^(2) = ms Delta T`