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11 January, 10:58

Calculate the velocity of a neutron needed to achieve a wavelength of 1.40 å. (take the mass of the neutron m=1.6749*10-27kg). v = m/s

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  1. 11 January, 11:21
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    Given:

    Wavelength of neutron = 1.40 A

    To determine:

    the velocity of neutron

    Explanation:

    The relation between wavelength λ and velocity v can be expressed through the de Broglie relation:

    λ = h/mv

    where h = planck's constant 6.626*10⁻³⁴ Kg. ms-2

    m = mass of neutron = 1.6749*10⁻²⁷ kg

    v = h/mλ = 6.626*10⁻³⁴/1.6749*10⁻²⁷*1.40*10⁻¹⁰ = 2.83*10³ m/s

    Ans : velocity v = 2.83*10³ m/s
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