Q: 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 ΔT, the potential difference V across the capacitor is

(a) $ \displaystyle \sqrt{\frac{2 m C \Delta T}{S} }$

(b) $ \displaystyle \frac{ m C \Delta T}{S} $

(c) $ \displaystyle \frac{ m S \Delta T}{C} $

(d) $ \displaystyle \sqrt{\frac{2 m S \Delta T}{C}} $

**Click to See Answer : **

Ans: (d)

Sol: $ \displaystyle \frac{1}{2}C V^2 = m S \Delta T$

$ \displaystyle V = \sqrt{\frac{2 m S \Delta T}{C}} $

#### Also Read :

- Three identical capacitors, each of capacitance C, are connected in series with a battery of emf V…
- A capacitor of capacitance C1 = 1 μF charged up to a voltage V = 110V is connected in parallel...
- In a series LCR circuits, the voltage across the resistance, capacitance and inductance is 10 V…
- What is the capacitance of the capacitor, shown in figure ...
- A capacitor is charged by a battery . The battery is removed and another identical uncharged…
- If C and R denote capacitance and resistance respectively, then the dimensional formula of CR is...
- If R = resistance, C = capacitance, L = inductance, which of the following has the dimensional…
- An inductance of 200/π mH. A capacitance of 10^(-3)/π F and a resistance of 10 Ω are connected in…
- A capacitor of capacity 2 μF is charged to 100 V. What is the heat generated ...
- If L, C, R represent inductance, capacitance and resistance respectively, the combinations having…