MCQ
Two capacitors $\mathrm{C}_{1}$ and $\mathrm{C}_{2}$ are connected in parallel to a battery. Charge-time graph is shown below for the two capacitors. The energy stored with them are $U_{1}$ and $U_{2}$, respectively. Which of the given statements is true?
Image
  • A
    $\mathrm{C}_{1}>\mathrm{C}_{2}, \mathrm{U}_{1}>\mathrm{U}_{2}$
  • B
    $\mathrm{C}_{2}>\mathrm{C}_{1}, \mathrm{U}_{2}<\mathrm{U}_{1}$
  • C
    $\mathrm{C}_{1}>\mathrm{C}_{2}, \mathrm{U}_{1}<\mathrm{U}_{2}$
  • D
    $\mathrm{C}_{2}>\mathrm{C}_{1}, \mathrm{U}_{2}>\mathrm{U}_{1}$

Answer

Sol. potential difference,
$\mathrm{v} \rightarrow$ same
$\mathrm{U}=\frac{1}{2} \mathrm{cv}^{2}$
as $\mathrm{q}_{1}<\mathrm{q}_{2}$
$\therefore \mathrm{c}_{1}<\mathrm{c}_{2}$
$\& \mathrm{U}_{1}<\mathrm{U}_{2}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

In what form is the energy stored in an inductor 
A $1000\,\, kg$ elevator rises from rest in the basement to the fourth floor, a distance of $20\,\, m$. As it passes the fourth floor its speed is $4\,m/sec$. There is a constant frictional force of $500\, N$. The work done by the lifting mechanism is
A uniform disc of radius $R$ and mass $M$ is free to rotate only about its axis. A string is wrapped over its rim and a body of mass $m$ is tied to the free end of the string as shown in the figure. The body is released from rest. Then the acceleration of the body is
In the given circuit, the current $(I)$ through the battery will be $..........\,A$
A long straight wire along the $z-$ axis carries a current $I$ in the negative $z$ direction. The magnetic field vector $\vec B$ at a point having coordinates $(x, y)$ in the $z = 0$ plane is
Find out the work done (in $ \times 10^{-3}\;J$) to expand the soap bubble to radius $R =5\, cm$ (Surface tension of water $=0.1\; N / m )$ 
For a diode connected in parallel with a resistor, which is the most likely current $I$-voltage $V$ characteristic?
A light beam is incident on a denser medium whose refractive index is $1.414$ at an angle of incidence . Find the ratio of width of refracted beam in a medium to the width of the incident beam in air
In the first second of its flight, rocket ejects $1/60$ of its mass with a velocity of $2400\,m/s$. The acceleration of the rocket is ............ $ms^{-2}$
An eye specialist prescribes spectacles having a combination of convex lens of focal length $40\, cm$ in contact with a concave lens of focal length $25\, cm$. The power of this lens combination in diopters is