Two particles, each of mass m and carrying a charge q, are suspended from a point by insulated strings each of length 1 cm. In equilibrium each string makes an angle of `45^(@)` with the horizontal direction. Prove that, `q=sqrt(2mg)`, g = acceleration due to gravity.

Two tiny spheres each having mass mkg and charge q coulomb are suspended from a point by insulating threads each l metre long but negligible theta with the vertical. Prove that, q^(2)=(4mgl^(2)sin^(2)theta tan theta)4pi epsilon_(0)

Two spheres, each having mass m are suspended from a common point by two insulating strings of length l. The spheres are identically charged and the separation between the spheres is 'd' . Find the charge on each sphere.

Two negative point charges each of magnitude 2 esu and another point charge q are lying on a straight line. Each of the charges are in equilibrium. Determine the position, value and the nature of the charge q.

Two particles each carrying a charge of 2 xx 10^-8 C and connected by a silk thread of length 1 m, are placed on a frictionless horizontal insulated table. What is the tension in the string?

A particle of mass 100 g is suspended from the end of a weightless string of length 100 cm and is rotated in a vertical plane. The speed of the particle is 200 cm*s^(-1) when the string makes an angle of theta =60^@ with the verctcal. Determine (i) the tension in the string when theta =60^@ and

A particle of mass 100 g is suspended from the end of a weightless string of length 100 cm and is rotated in a vertical plane. The speed of the particle is 200 cm*s^(-1) when the string makes an angle of theta =60^@ with the verctcal. Determine (ii) the speed of the particle at the lowest position . Acceleration due to gravity = 980 cm *s^(-2) .