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GATE EC 2025 Set 1 — Question 46

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MCQ+2 / -0.67EasyMobility, Resistivity & ConductivityCarrier TransportElectronic Devices

Electronic Devices → Carrier Transport → Mobility, Resistivity & Conductivity

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Question

The intrinsic carrier concentration of a semiconductor is 2.5×1016 /m32.5 \times 10^{16} \text{ /m}^3 at 300 K.
If the electron and hole mobilities are 0.15 m2/Vs0.15 \text{ m}^2/\text{Vs} and 0.05 m2/Vs0.05 \text{ m}^2/\text{Vs}, respectively, then the intrinsic resistivity of the semiconductor (in kΩ\Omega.m) at 300 K is ________.
(Charge of an electron e=1.6×10−19 Ce = 1.6 \times 10^{-19} \text{ C}.)
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