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A length - scale (l) depends on the perm...

A length - scale `(l)` depends on the permittivity `(epsilon)` of a dielctric material. Boltzmann constant `(k_(B))`, the absolute tempreture `(T)`, the number per unit volume `(n)` of certain charged particles, and the charge `(q)` carried by each of the partcles. which of the following expression `(s)` for `I` is `(are)` dimensionally correct?

A

`l=sqrt((nq^(2))/(epsilonk_(B)T))`

B

`l=sqrt((epsilonk_(B)T)/(nq^(2)))`

C

`l=sqrt((q^(2))/(epsilonn^(2//3)k_(B)T))`

D

`l=sqrt((q^(2))/(en^(1//3)k_(B)T))`

Text Solution

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The correct Answer is:
B, D
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