Two identical charges `+Q` are kept at some fixed distance. A small particle P with charge q is placed midway between them. If P is given a small displacement `Deltax`, it will undergo simple harmonic motion if

Two identical charges +Q are kept fixed some distance apart.A small particles P with charge q is placed midway between them . If P is given a small displacement Delta ,it will undergo simple harmonic motion if (i) q is positive and Delta is along the line joining the charges (ii) q is positive and Delta is perpendicular to the line joining the charges (iii) q is negative and Delta is perpendicular to the line joining the charges (iv) q is positive and Delta is along the line joining the charges

Two small particles charged with equal positive charges Q each, are fixed apart at a distance 2a. Another small particle having a charge q lies midway between the fixed charges. Show that (i) For small displacement (relative to a) along line joining the fixed charges, the middle charge executes SHM'if it is +ve and (ii) For small lateral displacement, it executes SHM ifit is-ve. Compare the frequencies of oscillation in the two cases

Two charges each of +q units are placed along a line. A third chare of -q/4 is placed midway between them. The system will

Two identical positive charges Q each are placed on the x axis at point (-a,0) and (a,0) A point charge of magnitude q is placed at the origin. For small displacement along x axis, the charge q executes simple harmonic motion if it is poitive and its time period is T_(1) . if the charge q is negative, it perform oscillations when displaced along y axis. in this case the time period of small oscillations is T_(2). find (T_(1))/(T_(2))

The charges q each are placed at a distance 2a and a third charge -2q is placed at the mid point. The P.E. of the system is

Two charges, each equal to q, aer kept at x=-a and x=a on the x-axis. A particle of mass m and charge q_0=q/2 is placed at the origin. If charge q_0 is given a small displacement (ylt lt a) along the y-axis, the net force acting on the particle is proportional to