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What is the energy of a photon of infrared radiation with a frequency of 2. 53 × 1012 Hz? Planck’s constant is 6. 63 × 10–34 J • s. 1. 68 × 1023 J 1. 68 × 1047 J 1. 68 × 10–21 J 1. 68 × 10–45 J.

Sagot :

The energy of the IR photon is [tex]\rm 1.68\;\times\;10^{-21}[/tex] J. Thus, option C is correct.

The energy of the radiations propagating in the air with the velocity of [tex]\rm 3\;\times\;10^8[/tex] m/s is given by:

[tex]E=h\nu[/tex]

Where, h is Planck's constant, and [tex]\nu[/tex] is the frequency.

Computation for the energy of IR photon

The value of Planck's constant is given as, [tex]\rm 6.63\;\times\;10^{-34}\;J.s^-^1[/tex]

The frequency of the IR radiation is [tex]\rm 2.53\;\times\;10^1^2\;Hz[/tex]

Substitute the values for the energy of the photon

[tex]\rm E=6.63\;\times\;10^{-34}\;J.s^{-1}\;\times\;2.53\;\times\;10^{12}\;Hz\\ E=16.8\;\times\;10^{-22}\;J\\E=1.68\;\times\;10^{-21}\;J[/tex]

The energy of the IR photon is [tex]\rm 1.68\;\times\;10^{-21}[/tex] J. Thus, option C is correct.

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