TS EAMCET · Physics · Capacitance
Two metal plates each of area ' \(A\) ' form a parallel plate capacitor with air in between the plates. The distance between the plates is ' \(d\) '. A metal plate of thickness \(\frac{d}{2}\) and of same area \(A\) is inserted between the plates to form two capacitors of capacitances \(C_1\) and \(C_2\) as shown in the figure. If the effective capacitance of the two capacitors is \(C^{\prime}\) and the capacitance of the capacitor initially is \(C\), then \(\frac{C^{\prime}}{C}\) is 
- A \(4\)
- B \(2\)
- C \(6\)
- D \(1\)
Answer & Solution
Correct Answer
(B) \(2\)
Step-by-step Solution
Detailed explanation
We knows capacitance \(C=\frac{\varepsilon_0 A}{d}\) When plate is inserted \[ \begin{gathered} C^{\prime}=\frac{\varepsilon_0 A}{d-\frac{d}{2}}=\frac{2 \varepsilon_0 A}{d} \\ \frac{C^{\prime}}{C}=\frac{2}{1} \end{gathered} \]
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
- In a process, the work done by the system is equal to the decrease in its internal energy. The process that the system undergoes isTS EAMCET 2023 Easy
- Consider a steady flow of oil in a pipeline. The cross-sectional radius of the pipeline decreases gradually as \(r=r_0 e^{-\alpha x}\), where \(\alpha=\frac{1}{3} \mathrm{~m}^{-1}\) and \(x\) is the distance from the pipeline inlet. If \(R_1\) is the Reynold's number for a certain pipeline cross-section at a distance \(x_1\) metre from the inlet and \(R_2\) is for distance \(\left(x_1+3\right)\) metre, then the ratio \(\frac{R_1}{R_2}\) isTS EAMCET 2020 Medium
- A beam of photons with an energy of strike a metal plate. The photoelectrons are emitted with maximum velocity of . The work function of the metal is
(Assume mass of electron and Charge of electron )TS EAMCET 2020 Easy - The displacement 's' of a body of mass \(3 \mathrm{~kg}\) under the action of a force is given by \(s=\frac{t^3}{3}\), where ' \(s\) ' is in metres and ' \(t\) ' is in seconds. The work done by the force in the first two seconds isTS EAMCET 2023 Medium
- A ball of mass \(2 \mathrm{~g}\) released from the top of an inclined plane describes a circular motion of radius \(20 \mathrm{~cm}\) in the vertical plane upon reaching the bottom. The minimum height of the inclined plane isTS EAMCET 2020 Easy
- An active nucleus decays to one-third in The fraction of original activity remaining after isTS EAMCET 2018 Medium
More PYQs from TS EAMCET
- When the temperature of a black body increases, it is observed that the wavelength corresponding to maximum energy changes from \(0.26 \mu \mathrm{m}\) to \(0.13 \mu \mathrm{m}\). The ratio of the emissive powers of the body at the respective temperature isTS EAMCET 2002 Medium
- For the following velocity-time graph, the average speed for the motion during first \(80 \mathrm{~s}\) is
TS EAMCET 2021 Easy - A particle of mass \(1 \mathrm{~kg}\) is projected with an initial velocity \(10 \mathrm{~ms}^{-1}\) at an angle of projection \(45^{\circ}\) with the horizontal. The average torque acting on the projectile, between the time at which it is projected and the time at which it strikes the ground, about the point of projection in newton-metre isTS EAMCET 2004 Medium
- A heavy uniform rope is suspended vertically from a ceiling and is in equilibrium. A pulse is generated at the bottom end of the rope as shown. As the pulse travels up the rope, its acceleration at any instant is ( \(\mathrm{g}\) is acceleration due to gravity)
TS EAMCET 2023 Hard - At a given instant of time two particles are having the position vectors \(4 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}+57 \hat{\mathbf{k}}\) metres and \(2 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+5 \hat{\mathbf{k}}\) respectively. If the velocity of the first particle be \(0.4 \hat{\mathbf{i}} \mathrm{ms}^{-1}\), the velocity of second particle in metre per second if they collide after \(10 \mathrm{sec}\) isTS EAMCET 2004 Medium
- A polyatomic gas follows a law \(T^2 V^\alpha=\) constant. Find \(\alpha\) for which the heat exchange of gas in the process becomes zero.TS EAMCET 2021 Easy