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The frequency of the radiation is equal to [tex]7.17 \times 10^{19}[/tex] Hertz.

Given the following data:

  • Photon energy = [tex]4.75 \times 10^{-14}[/tex] Joules

To find the frequency of this radiation, we would use the Planck-Einstein equation.

Mathematically, the Planck-Einstein relation is given by the formula:

[tex]E = hf[/tex]

Where:

  • h is Planck constant.
  • f is photon frequency.

Substituting the given parameters into the formula, we have;

[tex]4.75 \times 10^{-14} = 6.626 \times 10^{-34} \times F\\\\F = \frac{4.75 \times 10^{-14}}{6.626 \times 10^{-34}}[/tex]

Frequency, F = [tex]7.17 \times 10^{19}[/tex] Hertz

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