Question

Dimensional analysis for the plasma oscillation frequency: A plasma (hot. ionized gas. with lots of free electrons) of number density ne (number of free electrons per unit volume), can undergo periodic oscillations if disturbed. The relevant dimensional factors are e (the fundamental charge), m (the electron mass), the fundamental constant of electricity Co, and ne. Using dimensional analysis, find the oscillation frequency. *jp, in terms of those four quantities. That is, write omega_P alpha n_epsilon^alpha e^beta m^gamma e_0^delta and solve for alpha, beta, gamma, delta by matching dimensions. Recall that e_0 is defined from Coulombs law for the force between two charges, q_1, q_0 via. F_1,2 = q_1q_2/4 pi e_0 r^2

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The oscillation frequency
`wp = k\sqrt{(n_ee^2)/(mE_o) }`

Step-by-step explanation:

The explanation is shown on the second and third uploaded