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Question
A length-scale (l) depends on the permittivity (ε) of a dielectric material, Boltzmann constant (kB), the absolute temperature (T), the number per unit volume (n) of certain charged particles, and the charge (q) carried by each of the particles. Which of the following expression for l is dimensionally correct?.
Options
I = `sqrt((nq^2)/(εk_BT))`
I = `sqrt((εk_BT)/(nq^2))`
I = `sqrt(q^2/(εn^{2/3}k_BT))`
I = `sqrt(q^2/(εnk_BT))`
Solution
I = `underline(sqrt((εk_BT)/(nq^2)))`
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