Concepts Of Physics MCQ Edition [Volume 2]PhysicsSemiconductors and Semiconductor Devices

For silicon, the band gap is 1.1 eV . Determine the ratio of the band gap to kT for silicon at a room temperature of 300 K .

Options

Correct answer

D. 43

Step-by-step solution

Given band gap of silicon, E_g = 1.1 eV Temperature, T = 300 K Boltzmann constant, k = 1.38 10⁻²³ J/K Thermal energy in electron-volts is given by: kT = 1.38 10⁻²³ 300 1.6 10⁻¹⁹ eV 0.0258 eV The ratio of the band gap to kT is: E_g kT = 1.1 0.0258 42.6 The closest integer value among the given options is 43 .

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