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Careful spectral analysis shows that the familiar yellow light of sodium lamps (such as street lights) is made up of photons of two wavelengths, 589.0 nm and 589.6 nm. What is the difference in energy (in joules) between photons with these wavelengths?

Respuesta :

The difference in energy (in joules) between photons with these wavelengths is 4×10¯²² J

How to determine the energy with wavelength 589 nm

  • Planck's constant (h) = 6.626×10¯³⁴ Js
  • Speed of light (v) = 3×10⁸ m/s
  • Wavelength (λ) = 589 nm = 589×10⁻⁹ m
  • Energy (E₁) =?

E = hv / λ

E₁ = (6.626×10¯³⁴ × 3×10⁸) / 589×10⁻⁹

E₁ = 3.375×10¯¹⁹ J

How to determine the energy with wavelength 589.6 nm

  • Planck's constant (h) = 6.626×10¯³⁴ Js
  • Speed of light (v) = 3×10⁸ m/s
  • Wavelength (λ) = 589.6 nm = 589.6×10⁻⁹ m
  • Energy (E) =?

E = hv / λ

E₂ = (6.626×10¯³⁴ × 3×10⁸) / 589.6×10⁻⁹

E₂ = 3.371×10¯¹⁹ J

How to determine the difference in energy

  • Energy with wavelength of 589 nm (E₁) = 3.375×10¯¹⁹ J
  • Energy with wavelength of 589.6 nm (E₂) = 3.371×10¯¹⁹ J
  • Difference =?

Difference = E₁ - E₂

Difference = 3.375×10¯¹⁹ - 3.371×10¯¹⁹

Difference = 4×10¯²² J

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