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

Complete Question

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The oscillation frequency  

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Acetic acid  /əˈsiːtɪk/, systematically named  ethanoic acid  /ˌɛθəˈnoʊɪk/, is a colourless liquid  organic compound  with the  chemical formula  ch3cooh (also written as ch3co2h or c2h4o2). when undiluted, it is sometimes called  glacial acetic acid.  vinegar  is no less than 4% acetic acid by volume, making acetic acid the main component of vinegar apart from water. acetic acid has a distinctive sour taste and pungent smell. in addition to household vinegar, it is mainly produced as a precursor to  polyvinyl acetate  and  cellulose acetate. it is classified as a  weak acid  since it only partially  dissociates  in solution, but concentrated acetic acid is corrosive and can attack the skin.acetic acidnamespreferred iupac nameacetic acidsystematic iupac nameethanoic acidother namesvinegar (when dilute); hydrogen acetate; methanecarboxylic acid[1][2]identifierscas number64-19-7  3d model (jsmol)interactive image3dmetb00009 reference506007chebichebi: 15366  chemblchembl539  chemspider171  drugbankdb03166  echa infocard100.000.528ec number200-580-7e numbere260  (preservatives)gmelin reference1380iuphar/bps1058keggd00010  meshacetic+acidpubchem  cid176rtecs numberaf1225000uniiq40q9n063p  un number2789inchiinchi=1s/c2h4o2/c1-2(3)4/h1h3,(h,3,4)  key:   qtbsbxvteameqo-uhfffaoysa-n  smilescc(o)=o