Two isolated conducting spheres $S_{1}$ and $S_{2}$ of radius $\frac{2}{3} R$ and $\frac{1}{3} R$ have $12\, \mu C$ and $-3\, \mu C$ charges, respectively, and are at a large distance from each other. They are now  onnected by a conducting wire. A long time after this is done the charges on $S_{1}$ and $S_{2}$ are respectively
  • A$6\, \mu C$ and $3\, \mu C$
  • B$+4.5\, \mu C$ and $-4.5\, \mu C$
  • C$3\, \mu C$ and $6 \mu C$
  • D$4.5\, \mu C$ on both
JEE MAIN 2020, Diffcult
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    A dipole having dipole moment $p$ is placed in front of a solid uncharged conducting sphere as shown in the diagram. The net potential at point $A$ lying on the surface of the sphere is :-
    View Solution
  • 2
    Two point dipoles of dipole moment ${\vec P_1}$ and ${\vec P_2}$ are at a distance $x$ from each other and  ${\vec P_1}$ || ${\vec P_2}$. The force between the dipoles is
    View Solution
  • 3
    The effective capacity between $A$ and $B$ in the figure given is
    View Solution
  • 4
    A $6\,\mu F$ capacitor is charged from $10\;volts$ to $20\;volts$. Increase in energy will be
    View Solution
  • 5
    The insulated spheres of radii ${R_1}$ and ${R_2}$ having charges ${Q_1}$and ${Q_2}$ respectively are connected to each other. There is
    View Solution
  • 6
    In the circuit shown, each capacitor has a capacitance $C$. The emf of the cell is $E$. If the switch $S$ is closed
    View Solution
  • 7
    A parallel plate air capacitor is charged and then isolated. When a dielectric material is inserted between the plates of the capacitor, then which of the following does not change
    View Solution
  • 8
    A proton of mass $m$ and charge $e$ is projected from a very large distance towards an $\alpha$-particle with velocity $v$. Initially $\alpha$-particle is at rest, but it is free to move. If gravity is neglected, then the minimum separation along the straight line of their motion will be
    View Solution
  • 9
    The electric potential $V(x)$ in a region around the origin is given by $V(x) = 4x^2\,volts$ . The electric charge enclosed in a cube of $1\,m$ side with its centre at the origin is (in coulomb)
    View Solution
  • 10
    The charges on two plates of a $10\,\mu f$ capacitor are $5\,\mu C$ and $15\,\mu C$ then the potential difference across the capacitor plates is........$V$
    View Solution