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24 May, 11:18

Calculate the wavelength of an electron (m = 9.11 * 10-28 g) moving at 3.66 * 106 m/s.

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  1. 24 May, 12:13
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    The answer is 1.99 * 10⁻¹⁰ m.

    To calculate this we will use De Broglie wavelength formula:

    λ = h / (m*v)

    λ - the wavelength

    h - Plank's constant: h = 6.626 * 10⁻³⁴ Js

    v - speed

    m - mass

    It is given:

    λ = ?

    m = 9.11 * 10⁻²⁸ g

    v = 3.66 * 10⁶ m/s

    After replacing in the formula:

    λ = h / (m*v) = 6.626 * 10⁻³⁴ / (9.11 * 10⁻²⁸ * 3.66 * 10⁶) = 1.99 * 10⁻¹⁰ m
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