MHT CET · Physics · Capacitance
If the distance between the plates of a parallel plate capacitor of capacity \(10 \mu \mathrm{F}\) is doubled, then new capacity will be
- A \(5 \mu \mathrm{F}\)
- B \(20 \mu \mathrm{F}\)
- C \(10 \mu \mathrm{F}\)
- D \(15 \mu \mathrm{F}\)
Answer & Solution
Correct Answer
(A) \(5 \mu \mathrm{F}\)
Step-by-step Solution
Detailed explanation
In parallel plate capacitor
\(
C=\varepsilon_{0} \frac{A}{d}
\)
Now
\(
d^{\prime}=2 d
\)
Hence,
\(
C^{\prime}=\frac{\varepsilon_{0} A}{d^{\prime}}=\frac{\varepsilon_{0} A}{2 d}
\)
From Eqs. (i) and (ii)
\(
\begin{array}{l}
\frac{C^{\prime}}{C}=\frac{1}{2} \\
C^{\prime}=\frac{C}{2}
\end{array}
\)
Putting \(C=10 \mu \mathrm{F}\)
\(
C^{\prime}=\frac{10}{2}=5 \mu \mathrm{F}
\)
\(
C=\varepsilon_{0} \frac{A}{d}
\)
Now
\(
d^{\prime}=2 d
\)
Hence,
\(
C^{\prime}=\frac{\varepsilon_{0} A}{d^{\prime}}=\frac{\varepsilon_{0} A}{2 d}
\)
From Eqs. (i) and (ii)
\(
\begin{array}{l}
\frac{C^{\prime}}{C}=\frac{1}{2} \\
C^{\prime}=\frac{C}{2}
\end{array}
\)
Putting \(C=10 \mu \mathrm{F}\)
\(
C^{\prime}=\frac{10}{2}=5 \mu \mathrm{F}
\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A particle describes a horizontal circle on smooth inner surface of a cone as shown in figure. If the height of the circle above the vertex is 10 cm . The speed of the particle is
(g, acceleration due to gravity \(=10 \mathrm{~m} / \mathrm{s}^2\) )
MHT CET 2025 Medium - Two simple harmonic motions of angular frequency 100 and \(1000 \mathrm{rad} \mathrm{s}^{-1}\) have the same displacement amplitude. The ratio of their maximum acceleration isMHT CET 2008 Medium
- An alternating voltage of frequency ' \(\omega\) ' is induced in electric circuit consisting of an inductance ' \(\mathrm{L}\) ' and capacitance ' \(\mathrm{C}\) ', connected in parallel. Then across the inductance coilMHT CET 2023 Medium
- If the work done in blowing a soap bubble of volume ' \(\mathrm{V}\) ' is ' \(\mathrm{W}\) ', then the work done in blowing a soap bubble of volume ' \(2 \mathrm{~V}\) ' will beMHT CET 2021 Medium
- A body performing simple harmonic motion has potential energy '\(\mathrm{P}_{1}\)' at displacement ' \(x_{1}\) '. Its potential energy is ' \(\mathrm{P}_{2}\) ' at displacement ' \(x_{2}\) '. The potential energy 'P' at displacement \(\left(x_{1}+x_{2}\right)\) isMHT CET 2020 Medium
- Two concentric coplanar circular loops of radii ' \(r_1\) ' and ' \(r_2\) ' respectively carry currents ' \(\mathrm{i}_1\) ' and ' \(\mathrm{i}_2\) ' in opposite directions (one clockwise and other anticlockwise). The magnetic induction at the center of the loops is half that due to ' \(\mathrm{i}_1\) ' alone at the center. If \(r_2=2 r_1\), the value of \(\frac{i_2}{i_1}\)MHT CET 2021 Medium
More PYQs from MHT CET
- The percent dissociation of weak monobasic acid is \(3 \%\) in its \(0.02 \mathrm{M}\) solution. What is the dissociation constant of acid?MHT CET 2022 Medium
- The minimum distance and maximum distance of the point \(\mathrm{P}(2,-7)\) from the circle \(x^2+y^2-14 x-10 y-151=0\) are respectively _______ unitsMHT CET 2025 Medium
- If \(\bar{a}\) is perpendicular to \(\bar{b}\) and \(\bar{c},|\vec{a}|=2\), \(|\bar{b}|=3,|\bar{c}|=4\) and the angle between \(\bar{b}\) and \(\bar{c}\) is \(\frac{\pi}{3}\), then \(\left[\begin{array}{lll}\overline{\mathrm{a}} & \overline{\mathrm{b}} & \overline{\mathrm{c}}\end{array}\right]=\)MHT CET 2024 Easy
- Mycorrhiza is _________.MHT CET 2016 Hard
- Which among the following is a dihydric phenol?MHT CET 2020 Easy
- Which of the following oxyacid of chlorine has highest thermal stability?MHT CET 2020 Medium