The mean free time:

$\overline{){{\mathbf{T}}}_{{\mathbf{\lambda}}}{\mathbf{=}}\frac{\mathbf{m}}{\mathbf{n}{\mathbf{e}}^{\mathbf{2}}\mathbf{\rho}}}$

**(a)**

For silicon, m = 9.1 × 10^{-31}, n = 1.0 × 10^{16} electrons/m^{3}, e = 1.6 × 10^{-19}C and ρ = 2300Ω•m.

Pure silicon contains approximately 1.0x 10^{16} free electrons per cubic meter.

(a) Referring to the table above, calculate the mean free time ? for silicon at room temperature.

(b) Your answer in part (a) is much greater than the mean free time for copper. Why, then, does pure silicon have such a high resistivity compared to copper?

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