Two fixed, equal, positive charges, each of magnitude `5xx10^-5` coul are located at points A and B separated by a distance of 6m. An equal and opposite charge moves towards them along the line COD, the perpendicular bisector of the line AB. The moving charge, when it reaches the point C at a distance of 4m from O, has a kinetic energy of 4 joules. Calculate the distance of the farthest point D which the negative charge will reach before returning towards C.

Two fixed, equal, positive charges, each of magnitude `5xx10^-5` coul

1.	Two fixed, equal, positive charges, each of magnitude `5xx10^-5` coul are located at points A and B separated by a distance of 6m. An equal and opposite charge moves towards them along the line COD, the perpendicular bisector of the line AB. The moving charge, when it reaches the point C at a distance of 4m from O, has a kinetic energy of 4 joules. Calculate the distance of the farthest point D which the negative charge will reach before returning towards C.
Answer» Correct Answer - B From energy conservation `U_C+K_C=U_D+K_D` `or 2[(9xx10^9xx(5xx10^-5)(-5xx10^-5))/5]+4` `=2 [((9xx10^9x(5xx10^-5)(-5x10^-5))/(AD)]+0` solving we get `AD =9m` `:.` maximum distance `OD=sqrt((9)^2-(3)^2` `=sqrt72m`

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