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The probability of electrons to be found in the conduction
band of an intrinsic semiconductor at a finite temperature
  • a)
    increases exponentially with increasing band gap
  • b)
    decreases exponentially with increasing band gap
  • c)
    decreases with increasing temperature
  • d)
    is independent of the temperature
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The probability of electrons to be found in the conductionband of an i...


Explanation:

Band Gap and Electron Probability:
- The probability of electrons to be found in the conduction band of an intrinsic semiconductor at a finite temperature is influenced by the band gap of the material.
- The band gap is the energy difference between the valence band and the conduction band of a material.

Effect of Band Gap:
- As the band gap of a material increases, it becomes more difficult for electrons to be excited from the valence band to the conduction band.
- Electrons need a certain amount of energy to move from the valence band to the conduction band, and this energy is determined by the band gap.
- Therefore, as the band gap increases, the probability of electrons being in the conduction band decreases.

Exponential Relationship:
- The relationship between band gap and electron probability in the conduction band is exponential.
- This means that even small changes in the band gap can result in significant changes in the probability of electrons being in the conduction band.

Conclusion:
- In conclusion, the probability of electrons to be found in the conduction band of an intrinsic semiconductor at a finite temperature decreases exponentially with increasing band gap.
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The probability of electrons to be found in the conductionband of an i...
Option B is correct...
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