Question

The intrinsic carrier density at room temperature in Ge is 2.37×10^19/m^3. If the electron and hole mobilities are 0.38 and 0.18 m^2/Vs respectively. Calculate its resistivity.

(a) 0.18ohm m

(b) 0.460ohm m

(c) 0.4587ohm m

(d) 0.709ohm m

The question was asked in an international level competition.

This intriguing question comes from Properties of Semiconductors in chapter Semiconductors of Engineering Physics II

Answer 1

Right option is (d) 0.709ohm m

To explain: Conductivity = nie(μe+μh)

Conductivity = 2.12352/ohm m

Resistivity = 1/Conductivity

Resistivity = 0.4709ohm m.