GATE XE concept:fermi-energy PYQs & Answers

Questions 1–3 of 3. Imported answers require independent review unless marked reviewed.

Which one of the following curves best represents the E vs.

behavior of the hot end of a metal rod demonstrating Seebeck Effect? (

is the probability of electron occupancy at an energy state

;

is the Fermi energy)

Your answerChoose one option.

Diagram for Engineering Sciences question 56

Diagram for Engineering Sciences question 56 (figure 2)

Diagram for Engineering Sciences question 56 (figure 3)

Diagram for Engineering Sciences question 56 (figure 4)

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A one-dimensional nanowire has a linear electron density of

. The Fermi energy of the system is (in eV) ______ (rounded off to two decimal places)

Given:

where ‘m’ is the mass of an electron

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Pure silicon (Si) has a band gap (Eg) of 1.1 eV. This Si is doped with 1 ppm (parts per million) of phosphor atoms. Si contains 5 × 10²⁸ atoms per m³ in pure form. At temperature T = 300 K, the shift in Fermi energy upon doping with respect to intrinsic Fermi level of pure Si will be ______ eV (with appropriate sign and round-off to two decimal places).

Intrinsic carrier concentration of Si, ni, is given as:

Given: Mass of an electron, m = 9.1 × 10⁻³¹ kg Charge of an electron, e = 1.6 × 10⁻¹⁹ C Boltzmann constant, kB = 1.38 × 10⁻²³ J.K⁻¹ Planck’s constant, h = 6.6 × 10⁻³⁴ J.s⁻¹

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GATE XE concept:fermi-energy PYQs

How to practice concept:fermi-energy

Question 56

Question 62

Question 16