Question:

A potential barrier of 0.4 V exists across a p-n junction. An electron enters the junction from the n-side with a speed of 6.0 × 10ms–1. The speed with which electrons enters the p side will be
\(\frac{x}{3} × 10^5\) ms-1
the value of x is _________.
(Give mass of electron = 9 × 10–31 kg, charge on electron = 1.6 × 10–19 C)

Updated On: Mar 19, 2025
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Correct Answer: 14

Solution and Explanation

The correct answer is 14
Conserving energy,
\(\frac{1}{2} mv² = \frac{1}{2} m ( 6 × 10^5)^2 - 0.4eV\)
\(⇒ v = \sqrt{( 6 × 10^5)^2 - \frac{2 × 1.6 × 10^{-19} × 0.4}{9 × 10^{-31} }}\)
\(=\sqrt{36 × 10^{10} - \frac{1.28}{9} × 10^{12}}\)
\(⇒ v = \frac{14}{3} × 10^5 m/s\)
⇒ x = 14
There , the speed will be 14 m/s

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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:

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

Uses of Semiconductor:

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