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4 August, 08:03

CalcuLate the velocity of an electron ejected if 300.0 mm of light is applied to the surface. A wavelength of 795 nm has sufficient energy to eject electrons.

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  1. 4 August, 11:23
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    The equation relating velocity and wavelength is written below:

    v = λf

    where λ is the wavelength in m while f is frequency in 1/s.

    Let's determine first the frequency from the speed of light:

    c = distance/time, where c is the speed of light equal to 3*10⁸ m/s

    3*10⁸ m/s = (300 mm) (1 m/1000 mm) / time

    time = 1*10⁻⁹ seconds

    Since f = 1/t,

    f = 1/1*10⁻⁹ seconds = 10⁹ s⁻¹

    Thus,

    v = (795*10⁻⁹ m) (10⁹ s⁻¹)

    v = 795 m/s
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