A laser emits photons having an energy of 3.74 × 10–19 J. What color would be expected for the light emitted by this laser? (c = 3.00 × 108

Question

A laser emits photons having an energy of 3.74 × 10–19 J. What color would be expected for the light emitted by this laser? (c = 3.00 × 108 m/s, h = 6.63 × 10–34 J ⋅ s)

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Delwyn 4 years 2021-08-09T16:44:27+00:00 1 Answers 75 views 0

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    2021-08-09T16:45:32+00:00

    Answer:

    The wavelength of the emitted photons 532 nm, corresponds to a visible light having GREEN color.

    Explanation:

    Given;

    energy of the emitted photons, E = 3.74 x 10⁻¹⁹ J

    speed of light, c = 3 x 10⁸ m/s

    Planck’s constant, h = 6.63 x 10⁻³⁴ J.s

    The wavelength of the emitted light will be calculated by applying energy of photons;

    E = hf

    where;

    E is the energy emitted light

    h is Planck’s constant

    f is frequency of the emitted photon

    But f = c / λ

    where;

    λ is the wavelength of the emitted photons

    E = \frac{hc}{\lambda} \\\\\lambda = \frac{hc}{E} \\\\\lambda = \frac{6.63*10^{-34} *3*10^{8}}{3.74*10^{-19}} \\\\\lambda = 5.318 *10^{-7} \ m\\\\\lambda = 531.8 *10^{-9} \ m\\\\\lambda = 531.8 \ nm

    λ ≅ 532 nm

    the wavelength of the emitted photons is 532 nm.

    Therefore, the wavelength of the emitted photons 532 nm, corresponds to a visible light having GREEN color.

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