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PHYS2DQuiz6Solutions

PHYS2DQuiz6Solutions - 1 It has an equal probability of...

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1.) It has an equal probability of being anywhere inside the box. 𝑝 𝑥 = some constant ≡ 𝐴 a.) Make sure the integrated probability is 1. 1 = 𝐴𝑑𝑥 𝐿 2 𝐿 2 𝑝 𝑥 = 1 𝐿 inside the box (0 outside) b.) Calculate the standard deviation, Δ x, of the position. ∆𝑥 = 𝑥 2 − 𝑥 2 ? ( 𝑥 ) = ? ( 𝑥 ) 𝑝 𝑥 𝑑𝑥 𝐿 2 𝐿 2 𝑥 = 𝑥 ∙ 𝑝 𝑥 𝑑𝑥 𝐿 2 𝐿 2 = 0 𝑥 2 = 𝑥 2 ∙ 𝑝 𝑥 𝑑𝑥 𝐿 2 𝐿 2 = 𝐿 2 12 ∆𝑥 = 𝐿 2 12 0 2 =
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