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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Semiconductors and Semiconductor Devices

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

For silicon, the band gap is 1.1 eV . At what temperature does the...

For silicon, the band gap is 1.1 eV1.1 \text{ eV}. At what temperature does the ratio of the band gap to kTkT become one tenth of its value at 300 K300 \text{ K}? (Silicon will not retain its structure at these high temperatures.)

Options

  1. A1500 K1500 \text{ K}
  2. B3000 K3000 \text{ K}
  3. C30 K30 \text{ K}
  4. D6000 K6000 \text{ K}

Correct answer

B. 3000 K3000 \text{ K}

Step-by-step solution

The ratio of the band gap to kTkT at a temperature TT is given by EgkT\dfrac{E_g}{kT}.

According to the given condition, the ratio at temperature TT is one tenth of its value at 300 K300 \text{ K}.

\dfrac{E_g}{kT} = \dfrac{1}{10} \left(\dfrac{E_g}{k \times 300} \right)

Canceling EgE_g and kk from both sides, we get:

\dfrac{1}{T} = \dfrac{1}{3000}

T=3000 KT = 3000 \text{ K}
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