Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 2005
Exam
JEE Main
Year
2005
Subject
Physics
Chapter
Capacitance

JEE Main 2005 · Physics · Capacitance

A fully charged capacitor has a capacitance ' C ' it is discharged...

A fully charged capacitor has a capacitance ' CC ' it is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity ' ss ' and mass ' m\mathrm{m} '. If the temperature of the block is raised by ' ΔT\Delta \mathrm{T} '. The potential difference VV across the capacitance is

Options

  1. A2mCΔTs\sqrt{\frac{2 m C \Delta T}{s}}
  2. BmCΔTs\frac{\mathrm{mC} \Delta \mathrm{T}}{\mathrm{s}}
  3. CmsΔTc\frac{\mathrm{ms} \Delta \mathrm{T}}{\mathrm{c}}
  4. D2msΔTC\sqrt{\frac{2 m s \Delta T}{C}}

Correct answer

D. 2msΔTC\sqrt{\frac{2 m s \Delta T}{C}}

Step-by-step solution

Dimensionally only 4th 4^{\text{th }} option is correct.
Practice Capacitance on Quantrex Academy →

More from Capacitance

Passage: A container of height 2 m, length 2 m and breadth 1 m is made of insulating… JEE Advanced 2026A parallel plate capacitor is having separation between plates 0.885 mm. It has a… JEE Main 2026A sphere of capacitance 100 pF is charged to a potential of 100 V. Another identical… JEE Main 2026From the circuit given below, the capacitance between terminals A and B shown in the… JEE Main 2026A parallel plate air capacitor is connected to a battery. The plates are pulled apart at… JEE Main 2026Consider a circuit consisting of a capacitor ( 20\ μ F), resistor ( 100\ Ω ) and two… JEE Main 2026The dimensional formula of (1)/(2)ε_0 E^2 ( ε_0 = permittivity of vacuum and E = electric… JEE Main 2026A parallel plate air capacitor has a capacitance C . When it is half filled as show in… JEE Main 2026 Full Capacitance list All JEE Main PYQs