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4 September, 08:09

A particle (m = 3.8 * 10-28 kg) starting from rest, experiences an acceleration of 2.4 * 107 m/s2 for 5.0 s. What is its de Broglie wavelength λ at the end of this period?

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  1. 4 September, 09:00
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    Answer: The De broglie's wavelength is 1.45*10^-14m

    Explanation:

    Using De broglie's equation

    λ = h/mv

    Where h = Planck's constant = 6.6*10^-34Js

    m = mass in kilogram = 3.8*10^-28kg

    V = velocity = acceleration * time =

    2.4*10^7 * 5

    V = 1.2*10^8m/s

    λ = is the De broglie's wavelength

    λ = 6.6*10^-34Js / (3.8*10^-28kg * 1.2*10^8)

    λ = 1.45*10^-14m

    Therefore, De broglie's wavelength=

    1.45*10^-14m
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