When the macroscopic neutrality of a plasma is instantaneously perturbed by external means, the electrons react in a such a way as to give rise to oscillations at the electron plasma frequency wpe=(n092/meco)1/2. consider these oscillations, but including the motion of the ions. show that in this case the natural frequency of oscillation of the net charge density is given by w = (we + %)/2 where wpi=(no92/m.€o)/2. use the linearized equations of continuity and of momen- tum for each species, and poisson equation, considering only the electric force due to the internal charge separation.

Is a  vector quantity  that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.

The answer is as follows in the photo