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26 March, 05:36

Let's assume you use green light (λ = 550 nm) to look at an electron. What is the uncertainty in determining the electron's velocity? Express your answer rounded up to the nearest hundredth.

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  1. 26 March, 08:30
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    By uncertainty principle

    λ = h / p.

    Where λ = wavelength, h = Planck's constant = 6.63 * 10⁻³⁴ Js

    λ = wavelength = 550 nm = 550 * 10⁻⁹ m, Mass of electron = 9.1 * 10 ⁻³¹ kg

    p = Momentum = mv

    λ = h / mv

    v = h / mλ

    v = 6.63 * 10⁻³⁴ / (9.1 * 10⁻³¹ * 550 * 10⁻⁹)

    v = 1 324 675.325 m/s

    v ≈ 1.325 * 10⁶ m/s
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