A unit negative charge with mass resides at the midpoint of the straight line of length 2a adjoining two fixed charges of magnitude `+Q` each. If it is given a very small displacement `x(x lt lt a)` in a direction perpendicular to the straight line, it will

A unit negative charge with mass M resides at the midpoint of the straight line of length 2a adjoining two fixed charges of magnitude +Q each if it is given n very small displacement x(x lt lt a) in a direction perpendicular to the straight line. It will

Consider the points lying on a straight line joining two fixed opposite charges. Between the charges there is

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))

A particle of mass M and charge q is at rest at the midpoint between two other fixed similar charges each of magnitude Q placed a distance 2d apart. The system is collinear as shown in the figure. The particle is now displaced by a small amount x(x lt lt d) along the line joining the two charges and is left to itself. It will now oscillate about the mean position with a time period ( epsi_(0) = permittivity of free space)

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

Find the equations of the straight lines passing through the foot of the perpendicular from the point (2,3) upon the straight line 4x+3y+5=0 and bisecting the angles between the perpendicular and the given straight line.