Questions in Electrostatics

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Two small spherical balls each carrying a charge $Q = 10\mu C$ (10 micro-coulomb) are suspended by two insulating threads of equal lengths 1m each, from a point fixed in the ceiling. It is found that in equilibrium threads are separated by an angle ${60^o}$ between them, as shown in the figure. What is the tension in the threads (Given: $\frac{1}{{(4\pi {\varepsilon _0})}} = 9 \times {10^9}Nm/{C^2}$)
A ball of mass 1 g and charge ${10^{ - 8}}C$ moves from a point A. where potential is 600 volt to the point B where potential is zero. Velocity of the ball at the point B is 20 cm/s. The velocity of the ball at the point A will be
The acceleration of an electron in an electric field of magnitude 50 V/cm, if e/m value of the electron is $1.76 \times {10^{11}}$ C/kg, is
Three charges $Q,( + q)$ and $( + q)$ are placed at the vertices of an equilateral triangle of side l as shown in the figure. If the net electrostatic energy of the system is zero, then Q is equal to
A positively charged particle moving along x-axis with a certain velocity enters a uniform electric field directed along positive y-axis. Its
Electric potential at any point is $V = - 5x + 3y + \sqrt {15} z$, then the magnitude of the electric field is
The work done in bringing a 20 coulomb charge from point A to point B for distance 0.2m is 2J. The potential difference between the two points will be (in volt)
A hollow sphere of charge does not produce an electric field at any
If $4 \times {10^{20}}eV$ energy is required to move a charge of 0.25 coulomb between two points. Then what will be the potential difference between them
Kinetic energy of an electron accelerated in a potential difference of 100 V is

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