Question:

The conductivity of semiconductor increases with increase in temperature because

Updated On: Apr 19, 2024

both number density of charge carriers and relaxation time increase
number density of charge carriers increases
number density of current carriers increases, relaxation time decreases but effect of decrease in relaxation time is much less than increase in number density
relaxation time increases

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The Correct Option is C

Solution and Explanation

As temperature increases the number density of charge carries increases according to the equation $n=CT^{\frac{3}{2}}. exp\left(-\frac{E}{2}kT\right).$ Thus as temperature increases, the number density of charge carries increase resulting in conductivity of semiconductors.

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Concepts Used:

Semiconductors

Semiconductors are a crystalline solid materials, whose electrical conductivity lies between a conductor and an insulator. Semiconductors are mainly used in the manufacturing of electronic devices like capacitors, transistors, diodes, Integrated circuits, etc.

Properties of Semiconductor:

Semiconductor acts like an insulator at Zero Kelvin. On increasing the temperature, it works as a conductor.
Due to their exceptional electrical properties, semiconductors can be modified by doping to make semiconductor devices suitable for energy conversion, switches, and amplifiers.
Lesser power losses.

Uses of Semiconductor:

Semiconductors are widely used in manufacturing electronics devices like transistors, diodes, sensors, integrated circuits.
Semiconductors are widely used in all electronic devices, like mobile phones, digital cameras, communication devices, trains, ATMs, etc.