Paragraph: A dense collection of equal number of electrons and positive ions is called neutral plasma. Certain solids containing fixed positive ions surrounded by free electrons can be treated as neutral plasma. Let N be the number density of free electrons, each of mass m . When the electrons are subjected to an electric field, they are displaced relatively away from the heavy positive ions.If the electric field bec

Step-by-step solution

N= Number of electrons per unit volume aligned [N] & = [ L ⁻³ ],[e]=[q] & =[I t]=[ AT ] [ ₀ ] & = [ M ⁻¹ ~L ⁻³ ~T ^4 ~A ^2 ] aligned Substituting the dimensions, we can see that, . N e^2 m ₀ ]= [ T ⁻¹ ] Angular frequency has also the dimension [ T ⁻¹ ] . Correct option is (c). Analysis of Question (i) From calculation point of view, question is moderately difficult. Otherwise it is simple. (ii) Students may commit a mistake in the dimensions of N . It is not dimensionless.