Two identical balls each having a density `rho` are suspended from as common point by two insulating strings of equal length. Both the balls have equal mass and charge. In equilibrium each string makes an angle `theta` with vertical. Now, both the balls are immersed in a liquid. As a result the angle `theta` does not change. The density of the liquid is `sigma`. Find the dielectric constant of the liquid.

Two identical pith balls, each carrying charge q, are suspended from a common point by two strings of equal length l. Find the mass of each ball if the angle between the strings is 2theta in equilibrium.

Two indentical pith balls, each carrying charge q, are suspended from a common point by two strings of equal length l. Find the mass of each ball if the angle between the strings is 2theta in equilibrium.

Two path balls carrying equal charges are suspended from a common point by strings of equal length, the strings are rightly clamped at half the height. The equilibrium separation between the balls, now becomes :

Two small spheres, each having a mass of 20 g, are suspended form a common point by two insulating strings of length 40 cm each. The spheres are identically charged and the speration between the balls at equilibrium is found to be 4 cm . Find the charge on each sphere.

Two identical balls , each having a charge q and mass m , are suspended from a common point by two insultating strings each of length L . The balls are held at a separation x and then released. Find (a) the electric force on each ball (b) the component of the resultant force on a ball along and perpendicular to string (c ) the tension in the string (d) the acceleration of one of the balls. Consider the situation only for the instant just after the release.

Two pitch balls carrying equal charges are suspended from a common point by strings of equal length, the equilibrium separation between them is r. Now the strings are rigidly clamped at half the height. The equilibrium separation between the balls now become

Two small balls, each having equal positive charge Q are suspended by two insulationg strings of equal length l from a hook fixed to a stand. It mass of each ball =m and total angle between the two strings is 60^(@) m, then find the charge on each ball.

Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of 30^@ with each other. When suspended in a liquid of density 0.8gcm^-3 , the angle remains the same. If density of the material of the sphere is 1.6gcm^-3 , the dielectric constant of the liquid is

Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of 30^@ with each other. When suspended in a liquid of density 0.8gcm^-3 , the angle remains the same. If density of the material of the sphere is 1.6gcm^-3 , the dielectric constant of the liquid is

Two identical charged spheres of material density rho , suspended from the same point by inextensible strings of equal length make an angle theta between the string. When suspended in a liquid of density sigma the angle theta remains the same. The dielectric constant K of the liquid is