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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 . Determine the ratio of the...

For silicon, the band gap is

1.1 \text{ eV}

. Determine the ratio of the band gap to

kT

for silicon at a room temperature of

300 \text{ K}

.

Options

A $11$
B $86$
C $22$
D $43$

Correct answer

D. $43$

Step-by-step solution

Given band gap of silicon,

E_g = 1.1 \text{ eV}

Temperature,

T = 300 \text{ K}

Boltzmann constant,

k = 1.38 \times 10^{-23} \text{ J/K}

Thermal energy in electron-volts is given by:

kT = \dfrac{1.38 \times 10^{-23} \times 300}{1.6 \times 10^{-19}} \text{ eV} \approx 0.0258 \text{ eV}

The ratio of the band gap to

kT

is:

\dfrac{E_g}{kT} = \dfrac{1.1}{0.0258} \approx 42.6

The closest integer value among the given options is

43

.

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