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कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान 2nd PUC Class 12

The terminology of different parts of the electromagnetic spectrum is given in the text. Use the formula E = hv (for energy of a quantum of radiation: photon)

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प्रश्न

The terminology of different parts of the electromagnetic spectrum is given in the text. Use the formula E = hv (for energy of a quantum of radiation: photon) and obtain the photon energy in units of eV for different parts of the electromagnetic spectrum. In what way are the different scales of photon energies that you obtain related to the sources of electromagnetic radiation?

संख्यात्मक
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उत्तर

Energy of a photon is given as:

`"E" = "hv" = ("hc")/lambda`

Where,

h = Planck’s constant = 6.6 × 10−34 Js

c = Speed of light = 3 × 108 m/s

λ = Wavelength of radiation

∴ E = `(6.6 xx 10^-34 xx 3 xx 10^8)/lambda`

= `(19.8 xx 10^-26)/lambda` J

= `(19.8 xx 10^-26)/(lambda xx 1.6xx10^-19)` J

= `(12.375 xx 10^-7)/lambda "eV"`

The given table lists the photon energies for different parts of an electromagnetic spectrum for different λ.

λ (m) 103 1 10−3 10−6 10−8 10−10 10−12
E (eV) 12.375 × 10−10 12.375 × 10−7 12.375 × 10−4 12.375 × 10−1 12.375 × 101 12.375 × 103 12.375 × 105

The photon energies for the different parts of the spectrum of a source indicate the spacing of the relevant energy levels of the source.

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पाठ 8: Electromagnetic Waves - EXERCISES [पृष्ठ २१४]

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एनसीईआरटी Physics Part I and II [English] Class 12
पाठ 8 Electromagnetic Waves
EXERCISES | Q 8.9 | पृष्ठ २१४
एनसीईआरटी Physics Part I and II [English] Class 12
पाठ 8 Electromagnetic Waves
Exercise | Q 8.9 | पृष्ठ २८६

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