Two metal spheres of capacitance ${C_1}$ and ${C_2}$ carry some charges. They are put in contact and then separated. The final charges ${Q_1}$ and ${Q_2}$ on them will satisfy

  • A

    $\frac{{{Q_1}}}{{{Q_2}}} < \frac{{{C_1}}}{{{C_2}}}$

  • B

    $\frac{{{Q_1}}}{{{Q_2}}} = \frac{{{C_1}}}{{{C_2}}}$

  • C

    $\frac{{{Q_1}}}{{{Q_2}}} > \frac{{{C_1}}}{{{C_2}}}$

  • D

    $\frac{{{Q_1}}}{{{Q_2}}} < \frac{{{C_2}}}{{{C_1}}}$

Similar Questions

Eight drops of mercury of equal radii possessing equal charges combine to form a big drop. Then the capacitance of bigger drop compared to each individual small drop is........$times$

A cylindrical capacitor has two co-axial cylinders of length $20 \,cm$ and radii $2 r$ and $r$. Inner cylinder is given a charge $10 \,\mu C$ and outer cylinder a charge of $-10 \,\mu C$. The potential difference between the two cylinders will be

The radius of a metallic sphere if its capacitance is $1/9\,F$, is

The capacitance $(C)$ for an isolated conducting sphere of radius $(a)$ is given by $4\pi \varepsilon_0a$. If the sphere is enclosed with an earthed concentric sphere. The ratio of the radii of the spheres $\frac{n}{{(n - 1)}}$  being then the  capacitance of such a sphere will be increased by a factor

This question has Statement $1$ and Statement $2$. Of the four choices given after the Statements, choose the one that best describes the two Statements.

Statement $1$ : It is not possible to make a sphere of capacity $1$ farad using a conducting material.
Statement $2$ : It is possible for earth as its radius is $6.4\times10^6\, m$

  • [AIEEE 2012]