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3 July, 20:39

What is the energy of a phonton of light having a wavelength of 4.5 x10-7 meters

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  1. 3 July, 23:48
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    We can use 2 equations to solve this.

    First one, C = fλ

    Where C is speed of light (3 x 10⁸ m s⁻¹), f is the frequency (Hz) and λ is the wavelength of the wave (m).

    Second one, E = hf

    Where E is the energy (J), f is the frequency (Hz) and h is the planck's constant (6.626 * 10⁻³⁴ J s).

    From first equation,

    C = f λ

    f = C/λ

    = 3 x 10⁸ m s⁻¹ / 4.5 x 10⁻⁷ m

    From second equation,

    E = hf

    = 6.626 * 10⁻³⁴ J s x (3 x 10⁸ m s⁻¹ / 4.5 x 10⁻⁷ m)

    = 4.417 x 10⁻¹⁹ J

    Hence, the energy of the photon is 4.417 x 10⁻¹⁹ J.
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