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

The band gap between the valence and conduction bands for indium antimonide is 0.23 eV . Determine the temperature at which kT becomes equal to this band gap.

Options

  1. A267 K
  2. B2670 K
  3. C1335 K
  4. D5340 K

Correct answer

B. 2670 K

Step-by-step solution

Given band gap E_g = 0.23 eV Boltzmann constant k = 1.38 10⁻²³ J/K Equating the thermal energy to the band gap: kT = E_g T = E_g k Substituting the values in standard units: T = 0.23 1.6 10⁻¹⁹ 1.38 10⁻²³ T = 0.368 10⁻¹⁹ 1.38 10⁻²³ T = 3680 1.38 2667 K The closest value among the given options is 2670 K .

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