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Band Theory of Solids & Semiconductors

6 Official GATE PH Questions with Verified Solutions & Answer Keys

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Solved Questions for Band Theory of Solids & Semiconductors

GATE PH 2009 • Q29 (MCQ) +2 Mark

An electron of wavevector k e, velocity V, and effective mass m, is removed from a filled energy band The resulting hole has wavevector k,, velocity Vn, and effective mass m. Which...

View Step-by-Step Derivation → • Answer Key: A
GATE PH 2021 • Q56 (MSQ) +2 Mark

(B) (C) (D) The time derivative of a differentiable function g(qit) is added to a Lagrangian L(qi, 9ut) such that L' = L(air 9i, t) + di 9(9 t) where qi, 4it are the generalized co...

View Step-by-Step Derivation → • Answer Key: A, B
GATE PH 2022 • Q29 (NAT) +1 Mark

Potassium metal has electron concentration of 1.4 × 1028m-3 and the corresponding density of states at Fermi level is 6.2 × 1048 Joule-1 m-3. If the Pauli paramagnetic susceptibili...

View Step-by-Step Derivation → • Answer Key: 6 to 6
GATE PH 2022 • Q52 (MSQ) +2 Mark

In a Hall effect experiment on an intrinsic semiconductor, which of the following statements are correct?...

View Step-by-Step Derivation → • Answer Key: D
GATE PH 2024 • Q50 (MSQ) +2 Mark

An extrinsic semiconductor shown in figure carries a current of 2 mA along its length parallel to +x axis. When the majority charge carrier concentration is 12.5 × 1013 cm-3 and th...

View Step-by-Step Derivation → • Answer Key: A; B
GATE PH 2026 • Q32 (NAT) +1 Mark

For the energy dispersion of an electron in a one-dimensional solid E(k) = E0 - 2\gamma cos(ka), the ratio of the effective mass of the electron in the solid to the free electron m...

View Step-by-Step Derivation → • Answer Key: 0.30 to 0.32