General Physics Ques 13
- A length-scale $(l)$ depends on the permittivity $(\varepsilon)$ of a dielectric material, Boltzmann’s constant $\left(k_B\right)$, 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 (s) for $l$ is (are) dimensionally correct?
(2016 Adv.)
(a) $l=\sqrt{\left(\frac{n q^2}{\varepsilon k_B T}\right)}$
(b) $l=\sqrt{\left(\frac{\varepsilon k_B T}{n q^2}\right)}$
(c) $l=\sqrt{\left(\frac{q^2}{\varepsilon n^{2 / 3} k_B T}\right)}$
(d) $l=\sqrt{\left(\frac{q^2}{\varepsilon n^{1 / 3} k_B T}\right)}$
Show Answer
Answer:
Correct Answer: 13.( b, d )
Solution:
BETA
