Two identical non-conducting thin hemispherical shells each of radius $R$ are  brought in contact to make a complete sphere . If a total charge $Q$ is uniformly distributed on them, how much minimum force $F$ will  be required to hold them together

  • A

    $F = \frac{{{Q^2}}}{{16\pi {\varepsilon _0}{R^2}}}$

  • B

    $F = \frac{{{Q^2}}}{{32\pi {\varepsilon _0}{R^2}}}$

  • C

    $F = \frac{{{Q^2}}}{{64\pi {\varepsilon _0}{R^2}}}$

  • D

     $\frac{{{Q^2}}}{{32\pi {\varepsilon _0}{R^2}}} >F> \frac{{{Q^2}}}{{64\pi {\varepsilon _0}{R^2}}}$

Similar Questions

A simple pendulum of period $T$ has a metal bob which is negatively charged. If it is allowed to oscillate above a positively charged metal plate, its period will

Two particles $X $ and $Y$, of equal mass and with unequal positive charges, are free to move and are initially far away from each other. With $Y$ at rest, $X$ begins to move towards it with initial velocity $u$. After a long time, finally

$(a)$ Explain the meaning of the statement ‘electric charge of a body is quantised’.

$(b)$ Why can one ignore quantisation of electric charge when dealing with macroscopic i.e., large scale charges?

A particle of charge $-q$ and mass $m$ moves in a circle of radius $r$ around an infinitely long line charge of linear density $+\lambda$. Then time period will be given as

(Consider $k$ as Coulomb's constant)

  • [JEE MAIN 2024]

There are two metallic spheres of same radii but one is solid and the other is hollow, then