State the relation between the frequency v of radiation, emitted by an LED and the band gap energy E of the semiconductor used to fabricate it.
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Answer:
The frequency v of radiation emitted by an LED is proportional to the bandgap energy E of the semiconductor used to make it. i.e..
Explanation:
- Since the LEDs emit light only on the incident of a photon the photoelectric phenomena take place over here.
- In photoelectric phenomena, the energy is calculated as follows,
(1)
And for LED,
E=energy of the bandgap of semiconductor used to fabricate it
h=planck's constant=6.626×10⁻³⁴ Joule-second
ν=frequency of incident radiation
Hence, the relation is .i.e.frequency is directly proportional to the energy.
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- The frequency is the number of occurrences of a repeating event per unit of time.
- In general frequency is defined as .
- It describes the number of cycles of vibrations.
- The band-gap energy is the difference between the valence bond and the conduction bond of a solid material (such as an insulator or semi conductor)that consists of the range of energy values forbidden to electrons in the material.
- The frequency of emitted light depends on the bandgap energy pf p-n junction.This gap exists between the bottom of the conduction bond and the top of the valence bond .In semiconductors we can have direct or indirect band gaps.
- The relation is , Eg=hv
- where Eg is the band gap energy E of the semiconductor .
- h is the planks constant.
- v is the frequency of radiation emitted.
- Hence the relation between the frequency v of radiation ,emitted by an LED and the band gap energy E of the semiconductor used to fabricate it is Eg=hv.
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