Question

The resistivity of a metallic, single-walled carbon nanotube is 2.30 ✕ 10−8 Ω · m. The electron number density is 6.60 ✕ 1028 m−3. What is the mean free time for the electrons flowing in a current along the carbon nanotube?

Answer 1

The mean free time is given as z
`= 2.3*10^(-14)sec`

Step-by-step explanation:

Generally the formula for resistivity

`\rho = (m_e)/(e^2 n_ez)`

Where

`\rho` is he resistivity of metal

`m_e` is the mass of the electron

`e` is the charge of the electron

`n_e` is electron density

`z` is the mean free time

Now making z the subject of the formula

=>
`z = (m_e)/(e^2n_e\rho)`

Substituting the given values

`z = (9*10^(-31))/((1.6*10^(-19)(16.1*10^(28)(2.5*10^(-8)))))`

`= 2.3*10^(-14)sec`