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A photon carries 2.56 eV of energy. What is the photon's frequency?
1) 3.86 x 10¹⁴ Hz
2) 6.03 x 10¹⁴ Hz
3) 2.71 x 10¹⁴ Hz
4) 1.70 x 10¹⁴ Hz

Respuesta :

Answer:

2) 6.03 × 10¹⁴ Hz

Explanation:

We can find the photon's frequency using the Planck's Equation:

[tex]\boxed{E=h\frac{c}{\lambda}=hf }[/tex]

where:

  • E = energy of a photon
  • h = Planck's constant = 6.625×10⁻³⁴ Js
  • c = speed of light = 3×10⁸ m/s
  • λ = wavelength
  • f = frequency

Given:

E = 2.56 eV

  = (2.56 × 1.602×10⁻¹⁹) J

  = 4.096×10⁻¹⁹ J

[tex]E=hf[/tex]

[tex]4.096\times10^{-19}=6.625\times10^{-34}\cdot f[/tex]

[tex]\displaystyle f=\frac{4.096\times10^{-19}}{6.625\times10^{-34}}[/tex]

  [tex]\displaystyle =\frac{4.096}{6.625} \times10^{(-19+34)}[/tex]

  [tex]=0.618\times10^{15}[/tex]

  [tex]\approx6.03\times10^{14}\ Hz[/tex]