What is the wavelength (in picometers) of an electron moving at a speed of 5.97 x 106 m/s? The mass of an electron is 9.109 x 10-31 kg?

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  • 1 month ago

    de Broglie wavelength equation:

    λ = (h / mv)

    λ = wavelength

    h = Planck’s constant = 6.626 x 10⁻³⁴ J•s = 6.626 x 10⁻³⁴ kg•m²/s

    m = mass (kg)

    Here, the mass is mass of an electron = 9.109 x 10⁻³¹ kg

    λ = (h / mv)

    = (6.626 x 10⁻³⁴ kg•m²/s) / [(9.109 x 10⁻³¹ kg) x (5.97 x 10⁶ m/s)]

    = 1.22 x 10⁻¹⁰ m ………… to 3 sig figs

    converting to picometers,

    λ = (1.22 x 10⁻¹⁰ m) x (10¹² pm / 1 m) = 122. pm

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