AP EAMCET · PHYSICS · Capacitance
Eight drops of mercury, each of same radius and same charge combine to form a bigger drop. The ratio of capacitance of the bigger drop to that of each smaller drop is
- A \(8: 1\)
- B \(4: 1\)
- C \(2: 1\)
- D \(1: 1\)
Answer & Solution
Correct Answer
(C) \(2: 1\)
Step-by-step Solution
Detailed explanation
Number of drops, \(\mathrm{n}=8\) Let, \(\mathrm{r}\) is radius of smaller drop and \(\mathrm{R}\) is the radius of Bigger drop. Volume of smaller drops \& bigger drop remains same \[ 8 \times \frac{4}{3} \pi r^3=\frac{4}{3} \pi r^3 \Rightarrow R=2 r \] Capacitance of spherical…
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
- When an external force with angular frequency \(\omega_d\) acts on a system of natural angular frequency \(\omega\), the system oscillates with angular frequency \(\omega_{\mathrm{d}}\). The condition for the amplitude of oscillations to be maximum isAP EAMCET 2023 Easy
- An inductance \(1 \mathrm{H}\) is connected in series with an AC source of \(220 \mathrm{~V}\) and \(50 \mathrm{~Hz}\). The. inductive reactance (in ohm) isAP EAMCET 2005 Medium
- On getting reflected at a surface, the intensity of sound is found to be decreased by \(20 \%\). If \(A\) be the amplitude of the incident sound waves, then the amplitude of reflected sound waves isAP EAMCET 2020 Hard
- A charge of \(1 \mu \mathrm{C}\) is divided into two parts such that their charges are in the ratio of \(2: 3\). These two charges are kept at a distance \(1 \mathrm{~m}\) apart in vacuum. Then, the electric force between them \((\) in \(N)\) isAP EAMCET 2008 Easy
- The potential difference \(\left(V_A-V_B\right)\) in the arrangement shown in the figure is \((q=1 \mu \mathrm{C}, x=2 \mathrm{~cm}, y=3 \mathrm{~cm})\)
AP EAMCET 2019 Easy - A particle of mass 0.2 g and charge 2 C is released from rest in a uniform electric field of \(20 \mathrm{~N} \mathrm{C}^{-1}\). The kinetic energy of the particle after moving a distance of 20 cm isAP EAMCET 2025 Medium
More PYQs from AP EAMCET
- An electron is moving with a velocity \((2 \bar{i}+3 \bar{j}) \mathrm{ms}^{-1}\) in an electric field \((3 \bar{i}+6 \bar{j}+2 \bar{k}) \mathrm{Vs}^{-1}\) and a magnetic field of \((2 \bar{j}+3 \bar{k}) \mathrm{T}\). Then the magnitude and direction (with \(x\)-axis) of the Lorentz force acting on the electron isAP EAMCET 2024 Medium
- When is a reaction is spontaneous?AP EAMCET 2020 Easy
- A particle of mass \(4 m\) explodes into three pieces of masses \(m, m\) and \(2 \mathrm{~m}\). The equal masses move along \(X\)-axis and \(Y\)-axis with velocities \(4 \mathrm{~ms}^{-1}\) and \(6 \mathrm{~ms}^{-1}\) respectively. The magnitude of the velocity of the heavier mass isAP EAMCET 2009 Medium
- Let \(f: R \rightarrow R\) be defined by \(f(x)=2 x+3\). If \(\alpha\), \(\beta\) are the roots of the equation \(f\left(x^2\right)-2 f\left(\frac{x}{2}\right)-1=0\), then \(\alpha^2+\beta^2=\)AP EAMCET 2022 Easy
- Consider the following sequence of reactions.
\(\mathrm{C}_6 \mathrm{H}_5 \mathrm{COONa} \xrightarrow[\Delta]{\mathrm{NaOH} / \mathrm{CaO}} \mathrm{X} \xrightarrow[\text { Anhy. } \mathrm{AlCl}{ }_3]{\mathrm{CO}+\mathrm{HCl}} \mathrm{Y} \xrightarrow[\mathrm{NaOH}]{\text { conc. }} \mathrm{A}+\mathrm{B}\).
If A is the reduction product of Y, what is B ?AP EAMCET 2025 Medium - 'A horizontal uniform glass tube of \(100 \mathrm{~cm}\), length sealed at both ends contains \(10 \mathrm{~cm}\) mercury column in the middle. The temperature and pressure of air on either side of mercury column are respectively \(31^{\circ} \mathrm{C}\) and \(76 \mathrm{~cm}\) of mercury. If the air column at one end is kept at \(0^{\circ} \mathrm{C}\) and the other end at \(273^{\circ} \mathrm{C}\), then the pressure of air which is at \(0^{\circ} \mathrm{C}\) is : (in \(\mathrm{cm}\) of \(\mathrm{Hg}\) )AP EAMCET 2003 Medium