In the arrangement shown in fig. two positive charges, +Q each,are fixed. Mark the correct statement(s) regarding a third charged particle q palce at the midpoint P that can be displaced along or perpendicular to the line connecting the charges.

Two charges -q each are fixed separated by distance 2d. A third charge q of mass m placed at the midpoint is displaced slightly by x (x

Two charges -q each are fixed separated by distance 2d. A third charge q of mass m placed at the mid-point is displaced at the mid-point is placed slightly by x (xltltd) perpendicular to the line joining the two fixed charges as shown in Fig. Show that q will perform simple harmonic oscillarion of time period. T = [(8pi^(3) in_(0) md^(3))/(q^(2))]^(1//2)

Two equal charges q are placed at a distance of 2a and a third charge -2q is placed at the midpoint. The potential energy of the system is

Two positive point charges , each Q , are fixed at separation d . A third charge q is placed in the middle. Describe the equilibrium of the third charge.

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 -q each are fixed separated by distance 2d. A third charge q of mass m placed at the mid-point is displaced slightly by x (xltltd) perpendicular to the line joining the two fixed charges as shown in Fig. Show that q will perform simple harmonic oscillation of time period. T = [(8pi^(3) in_(0) md^(3))/(q^(2))]^(1//2)

Two points charges , each Q , are fixed at separation 2d . A charged particle having charge q and mass m is placed between them. (a) Now this charged particle is slightly displaced along the line joining the charges , slow that it will execute simple harmonic motion and find the time period of oscillation. (b) If charge q is negative and it is displaced slightly perpendicular to the line joining the charges , repeat the part (a) .

Two infinitely long line charges having charge density lamda each are parallel to each other and separated by distance d. A charge particle of mass m and charge q is placed at mid point between them. This charge displaced slightly along a line AB which is perpendicular to the line charges and in the plane of the charges. prove that the motion of the particle will be SHM for small displacement and lamda q gt 0 Neglect gravity. Find the time period.

Two infinitely long line charges having charge density lamda each are parallel to each other and separated by distance d. A charge particle of mass m and charge q is placed at mid point between them. This charge displaced slightly along a line AB which is perpendicular to the line charges and in the plane of the charges. prove that the motion of the particle will be SHM for small displacement and lamda q gt 0 Neglect gravity. Find the time period.