AP EAMCET · PHYSICS · Capacitance
The capacitance of an isolated sphere of radius \(r_1\) is increased by 5 times, when it is enclosed by an earthed concentric sphere of radius \(r_2\). The ratio of their radii is
- A \(\frac{4}{5}\)
- B \(\frac{5}{4}\)
- C \(\frac{5}{1}\)
- D \(\frac{3}{5}\)
Answer & Solution
Correct Answer
(A) \(\frac{4}{5}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } \mathrm{C}_2=5 \mathrm{C}_1 \\ & \Rightarrow 4 \pi \varepsilon_0\left(\frac{\mathrm{r}_1 r_2}{\mathrm{r}_2-\mathrm{r}_1}\right)=5\left(4 \pi \varepsilon_0 \mathrm{r}_1\right) \\ & \Rightarrow \mathrm{r}_1 \mathrm{r}_2=5 \mathrm{r}_1 \mathrm{r}_2-5…
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 Carnot engine takes \(3 \times 10^6\) calories of heat from reservoir at \(627^{\circ} \mathrm{C}\) and gives it to a sink at \(27^{\circ} \mathrm{C}\). The work done by the engine isAP EAMCET 2020 Medium
- When a spiral spring is stretched by suspending a load with it, the strain produced is called strain.AP EAMCET 2021 Easy
- A Zener diode is made byAP EAMCET 2020 Easy
- In a circus, a stuntman rides a motor bike in a vertical circular track of radius \(r\). Find the minimum speed, he must maintain at highest point of track.AP EAMCET 2020 Medium
- A thin wire of length ' \(L\) ' made of an insulating material is bent to form a circular loop and a positive charge ' \(\mathrm{q}\) ' is given so that it is distributed uniformly around the circumference of the loop. The loop is then rotated with an angular speed ' \(\omega\) ' about an axis passing through its centre. If a uniform magnetic field B directed parallel to the plane of the loop is applied then the magnitude of the magnetic torque on the loop isAP EAMCET 2018 Medium
- In an atom the difference between two energy levels is \(3.31 \mathrm{eV}\), then the wavelength of the radiation emitted when the transition takes place between these levels is nearlyAP EAMCET 2017 Easy
More PYQs from AP EAMCET
- Two particles of equal mass ' \(m\) ' and equal charge ' \(q\) ' are separated by a distance of 16 cm . They do not experience any force. The value of \(\frac{q}{m}\) is _____ (if ' \(G\) ' is the universal gravitational constant and ' \(g\) ' is the acceleration due to gravity).AP EAMCET 2024 Easy
- What is \(X\) in the following reaction?
\(\mathrm{NaH}+\mathrm{B}_2 \mathrm{H}_6 \xrightarrow{\text { Diellhyl ether }} X\)AP EAMCET 2019 Medium - Assertion (A) The velocity of a projectile at
a point on its trajectory is equal to the slope at
that point.
Reason (R) The velocity vector at a point
always along the tangent to the trajectory at
that point.AP EAMCET 2018 Easy - If \(E, M, J\) and \(G\) respectively denote energy, mass, angular momentum and universal gravitational constant, the quantity, which has the same dimensions as the dimensions of \(\frac{E J^2}{M^5 G^2}\)AP EAMCET 2013 Easy
- The electric field intensity at a point on the axis of an electric dipole in air is \(4 \mathrm{NC}^{-1}\). Then the electric field intensity at a point on the equatorial line which is at a distance equal to twice the distance on the axial line and if the dipole is in a medium of dielectric constant 4 isAP EAMCET 2019 Easy
- A solid copper cube of \(7 \mathrm{~cm}\) edge is subjected to a hydraulic pressure of \(8000 \mathrm{kPa}\). The volume contraction of the copper cube is (Bulk modulus of copper \(=140 \mathrm{GPa}\) )AP EAMCET 2019 Easy