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If a photon has a wavelength of 659.3 nm, what is the energy of the photon (in J)?

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Final answer:

The energy of a photon with a wavelength of 659.3 nm is calculated using Planck's constant and the speed of light, resulting in an energy of 3.00 × 10^-19 Joules.

Step-by-step explanation:

To calculate the energy of a photon with a wavelength of 659.3 nm, we can use the formula E = hc/λ, where h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon. Planck's constant (h) is 6.626 × 10-34 J·s, and the speed of light (c) is 3 × 108 m/s. First, we need to convert the wavelength from nanometers to meters by dividing by 1 × 109.

So, λ = 659.3 nm = 659.3 × 10-9 m. The energy of the photon (E) is then calculated as follows:

E = (6.626 × 10-34 J·s) × (3 × 108 m/s) / (659.3 × 10-9 m)

After calculating:

E = 3.00 × 10-19 J

SUMUP all the final answer as points:

  • Photon wavelength: 659.3 nm
  • Photon energy: 3.00 × 10-19 Joules
User Adrian Florescu
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