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NEET 2024
Exam
NEET
Year
2024
Subject
Physics
Chapter
Capacitance

NEET 2024 · Physics · Capacitance

If the plates of a parallel plate capacitor connected to a battery...

If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then A. the charge stored in it, increases. B. the energy stored in it, decreases. C. its capacitance increases. D. the ratio of charge to its potential remains the same. E. the product of charge and voltage increases. Choose the most appropriate answer from the options given below:

Options

  1. AA, C and E only
  2. BB, D and E only
  3. CA, B and C only
  4. DA, B and E only

Correct answer

A. A, C and E only

Step-by-step solution

Given V=V=V=V= Constant (i) C′=ε0Ad′,C=ε0Add′′<dC′\gtC\begin{aligned} & C^{\prime}=\frac{\varepsilon_0 A}{d^{\prime}}, C=\frac{\varepsilon_0 A}{d} \\ & d^{\prime \prime} < d \\ & C^{\prime}\gtC \end{aligned} Hence, final capacitance greater than initial capacitance, (ii) U′=12C′V2U=12CV2U′′\gtU\begin{aligned} U^{\prime} & =\frac{1}{2} C^{\prime} V^2 \\ U & =\frac{1}{2} C V^2 \\ U^{\prime \prime} & \gtU \end{aligned} Hence final energy is greater than initial energy (iii) Q′V′=C′ and QV=CQ′V′≠QV\begin{aligned} & \frac{Q^{\prime}}{V^{\prime}}=C^{\prime} \text{ and } \frac{Q}{V}=C \\ & \frac{Q^{\prime}}{V^{\prime}} \neq \frac{Q}{V} \end{aligned} (iv) Product of charge and voltage X′=Q′V=C′V2X=QV=CV2X′\gtX\begin{aligned} & X^{\prime}=Q^{\prime} V=C^{\prime} V^2 \\ & X=Q V=C V^2 \\ & X^{\prime}\gtX \end{aligned}
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