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

For silicon, the band gap is 1.1 eV . At what temperature does the ratio of the band gap to kT become one tenth of its value at 300 K ? (Silicon will not retain its structure at these high temperatures.)

Options

  1. A1500 K
  2. B3000 K
  3. C30 K
  4. D6000 K

Correct answer

B. 3000 K

Step-by-step solution

The ratio of the band gap to kT at a temperature T is given by E_g kT . According to the given condition, the ratio at temperature T is one tenth of its value at 300 K . E_g kT = 1 10 ( E_g k 300 ) Canceling E_g and k from both sides, we get: 1 T = 1 3000 T = 3000 K

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