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Grade: 11

                        

A length scale (l) depends on the permittivity of a (ε) dielectric material,Boltzmann constant( kB) ,the absolute temperature(T),the number per unit volume (n) of charged particles, and the charge (q) carried by each of the particles. which of the following is dimensionally correct a) l = √[(nq^2)÷( εkBT)] b) l = √[( εkBT) ÷ (nq^2) ] c) l =√[(q^2)÷ (εnkBT)]

2 years ago

Answers : (1)

Eshan
askIITians Faculty
2095 Points
							Dear student,

F=\dfrac{1}{4\pi\epsilon}\dfrac{q^2}{d^2}

Henced=\dfrac{q^2}{4\pi\epsilon Fd}

Fd has dimennsion of work which is that of energy , which is that ofnk_BT

Hence[l]=[\dfrac{nq^2}{\epsilon nK_BT}]
2 years ago
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