Two identical tennis balls each having mass $m$ and charge $q$ are suspended from a fixed point by threads of length $l$. What is the equilibrium separation when each thread makes a small angle $\theta$ with the vertical?

  • [JEE MAIN 2021]
  • A

    ${x}=\left(\frac{{q}^{2} l}{2 \pi \varepsilon_{0} {mg}}\right)^{1 / 2}$

  • B

    ${x}=\left(\frac{{q}^{2} l^{2}}{2 \pi \varepsilon_{0} {m}^{2} {g}^{2}}\right)^{1 / 3}$

  • C

    ${x}=\left(\frac{{q}^{2} l}{2 \pi \varepsilon_{0} {mg}}\right)^{1 / 3}$

  • D

    ${x}=\left(\frac{{q}^{2} l^{2}}{2 \pi \varepsilon_{0} {m}^{2} {g}}\right)^{1 / 3}$

Similar Questions

A charge ${q_1}$ exerts some force on a second charge ${q_2}$. If third charge ${q_3}$ is brought near, the force of ${q_1}$ exerted on ${q_2}$

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

Explain vector form of Coulomb’s law and its importance. Write some important points for vector form of Coulomb’s law.

Total charge $-\,Q$ is uniformly spread along length of a ring of radius $R$. A small test charge $+q$ of mass m is kept at the centre of the ring and is given a gentle push along the axis of the ring.

$(a) $ Show that the particle executes a simple harmonic oscillation.

$(b)$ Obtain its time period.

$12$ positive charges of magnitude $q$ are placed on a circle of radius $R$ in a manner that they are equally spaced. A charge $Q$ is placed at the centre, if one of the charges $q$ is removed, then the force on $Q$ is

  • [KVPY 2010]