TS EAMCET · Physics · Capacitance
Two identical condensers \(M\) and \(N\) are connected in series with a battery. The space between the plates of \(M\) is completely filled with a dielectric medium of dielectric constant 8 and a copper plate of thickness \(\frac{d}{2}\) is introduced between the plates of \(N\). ( \(d\) is the distance between the plates). Then potential differences across \(M\) and \(N\) are, respectively, in the ratio
- A 1 : 4
- B 4 : 1
- C 3 : 8
- D 1 : 6
Answer & Solution
Correct Answer
(A) 1 : 4
Step-by-step Solution
Detailed explanation
Let the capacitance of condensor, \(M=C\) The new capacitance of condensor, \(C_M=8 C\) The capacitance of condensor, \(N=C\) The new capacitance of condensor, \(C_N=\frac{C^{\prime}}{2}\) where \(\quad C^{\prime}=\frac{A \varepsilon_0}{d / 4}=\frac{4 A \varepsilon_0}{d}=4 C\)…
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
- If the rms speed of the molecules of a gas at a temperature of \(77^{\circ} \mathrm{C}\) is \(50 \mathrm{~ms}^{-1}\), then the rms speed of the same gas molecules at a temperature of \(150.5^{\circ} \mathrm{C}\) isTS EAMCET 2025 Medium
- A solid cylinder of mass and radius rolls down an inclined plane of height without slipping. The speed of its centre of mass when the cylinder reaches the bottom is [use ]TS EAMCET 2022 Medium
- A compound microscope has an objective of focal length 1.25 cm and an eyepiece of focal length 5 cm separated by a distance of 7.5 cm. The total magnification produced by the microscope when the final image forms at infinity isTS EAMCET 2025 Medium
- Two short magnets \(A B\) and \(C D\) are in the \(X-Y\) plane and are parallel to \(X\)-axis and co-ordinates of their centres respectively are \((0,2)\) and \((2,0)\). Line joining the north-south poles of \(C D\) is opposite to that of \(A B\) and lies along the positive \(X\)-axis. The resultant field induction due to \(A B\) and \(C D\) at a point \(P(2,2)\) is \(100 \times 10^{-7} \mathrm{~T}\). When the poles of the magnet \(C D\) are reversed, the resultant field induction is \(50 \times 10^{-7} \mathrm{~T}\). The value of magnetic moments of \(A B\) and \(C D\) (in \(\mathrm{Am}^2\) ) are :TS EAMCET 2006 Hard
- At time \(t=0\), a force \(\mathrm{F}=\alpha t\), where \(t\) is time in seconds, is applied to a body of mass \(1 \mathrm{~kg}\), resting on a smooth horizontal plane. If the direction of the force makes an angle of \(45^{\circ}\) with the horizontal, then the velocity of the body at the moment of its breaking off the plane isTS EAMCET 2022 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 isTS EAMCET 2009 Medium
More PYQs from TS EAMCET
- \(\mathrm{AU}^{235}\) nuclear reactor generates energy at a rate of \(3.70 \times 10^7 \mathrm{~J} / \mathrm{s}\). Each fission liberates \(185 \mathrm{MeV}\) useful energy. If the reactor has to operate for \(144 \times 10^4 \mathrm{~s}\), then, the mass of the fuel needed is (Assume Avogadro's number \(\left.=6 \times 10^{23} \mathrm{~mol}^{-1}, 1 \mathrm{eV}=1.6 \times 10^{-19} \mathrm{~J}\right)\)TS EAMCET 2013 Medium
- A thin hollow sphere of mass \(m\) is completely filled with a liquid of mass \(m\). When the sphere rolls with a velocity \(v\), kinetic energy of the system is (neglect friction)TS EAMCET 2011 Easy
- 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
- A simple pendulum consists of a small sphere of mass suspended by a thread of length . The sphere carries a positive charge . The pendulum is allowed to do small oscillations in a uniform electric field with direction vertically upwards. The time period of oscillation isTS EAMCET 2022 Easy
- Two straight conducting rails form a right angle as shown below. A conducting bar in contact with the rails starts at the vertex at time and moves with constant velocity of along them. A magnetic field with is directed out of the page. The absolute value of the around the triangle at the time will be?
TS EAMCET 2020 Easy - An object of mass \(15 \mathrm{~kg}\) is attached to the end of a metal wire of unstretched length \(1.0 \mathrm{~m}\). The object is then whirled in a vertical circle with an angular velocity of 4 \(\mathrm{rad} / \mathrm{s}\) at the bottom of the circle. If the cross sectional area of the wire is \(0.05 \mathrm{~cm}^2\) and Young's modulus of metal is \(2 \times 10^{11} \mathrm{~N} / \mathrm{m}^2\), then the elongation of the wire when the mass is at the lowest point of its path (Take \(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2\) )TS EAMCET 2022 Easy