A particle which is constrained to move
along x-axis, is subjected to a force in the same direction which varies with
the distance x of the particle from the origin as F(x) =-kx+ax3.
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?