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11. 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 I is dimensionally correct?

a) l=\sqrt{\frac{nq^2}{\epsilon k_BT}}

b) l=\sqrt{\frac{\epsilon k_BT}{nq^2}}

c) l=\sqrt{\frac{q^2}{\epsilon n^{2/3}k_BT}}

d) l=\sqrt{\frac{q^2}{\epsilon n^{1/3}k_BT}}

Answers (3)

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by checking dimension we can find b is right

Posted by

himanshu.meshram

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d is also right

Posted by

himanshu.meshram

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B&c is right

 

Chek it dimensoly

Posted by

Vishal

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