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What is the frequency of the light from a laser that emits light of wavelength 8.40 x 10^-7 m?

1) What is the frequency of the light from a laser that emits light of wavelength 8.40 x 10^-7 m?
2) What is the energy of a photon if it has a frequency of 4.23 x 10^12 Hz?
3) What is the wavelength of electromagnetic radiation with a frequency of 6.00 x 10^9 Hz?
4) What is the frequency of light if its energy is 4.42 x 10^-19 J?

Answer

  1. To find the frequency (f) of light, use the equation: c = λf, where c is the speed of light (3.00 x 10^8 m/s) and λ is the wavelength. Rearrange to find f = c/λ:

    f = (3.00 x 10^8 m/s) / (8.40 x 10^-7 m) = 3.57 x 10^14 Hz

  2. To find the energy (E) of a photon, use the equation: E = hf, where h is Planck's constant (6.63 x 10^-34 J·s) and f is the frequency:

    E = (6.63 x 10^-34 J·s) x (4.23 x 10^12 Hz) = 2.80 x 10^-21 J

  3. To find the wavelength (λ), use the equation: c = λf. Rearrange to find λ = c/f:

    λ = (3.00 x 10^8 m/s) / (6.00 x 10^9 Hz) = 0.050 m

  4. To find the frequency (f) from energy, use the equation: E = hf. Rearrange to find f = E/h:

    f = (4.42 x 10^-19 J) / (6.63 x 10^-34 J·s) = 6.67 x 10^14 Hz

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