Neutrons travelling at 0.400 m/s are directed through a pair of slits having 1.00 m separation. an array of detectors is placed 10.0 m from

Question

Neutrons travelling at 0.400 m/s are directed through a pair of slits having 1.00 m separation. an array of detectors is placed 10.0 m from the slits.
a) What is the de Broglie wavelength of the neutrons?
b) How far off axis if the first zero-intensity point on the detector array?
c) When a neutron reaches a detector, can we say which slit the neutrons passed through? Explain.

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Nguyệt Ánh 5 years 2021-08-05T15:28:24+00:00 1 Answers 387 views 1

Answers ( )

  1. Doris
    0
    2021-08-05T15:29:27+00:00
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    Answer:

    9.91*10^-7 m

    4.955*10^-6 m

    Explanation:

    Given that

    v = 0.4 m/s

    d = 1 m

    L = 10 m

    h = 6.62*10^-34 Js

    m(neutron) = 1.67*10^-27 kg

    To find the debroglie wavelength of the neutron, we use the formula

    λ = h/mv

    Now, we plug in the values we have listed.

    λ = 6.62*10^-34 / (1.67*10^-27 * 0.4)

    λ = 6.62*10^-34 / 6.68*10^-28

    λ = 9.91*10^-7 m

    b)

    y1 = L (m + ½) λ/d, where m = 0

    y1 = L (0 + ½) λ/d

    y1 = L (½) λ/d

    y1 = L/2 * λ/d or

    y1 = Lλ/2d

    now, we substitute the values for each of them, we have

    y1 = (10 * 9.91*10^-7) / (2 * 1)

    y1 = 9.91*10^-6 / 2

    y1 = 4.955*10^-6 m

    c) no, we can not say the neuron passed through one slit

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