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31 October, 21:33

How much work is needed to assemble an atomic nucleus containing three protons (such as Li) if we model it as an equilateral triangle of side 2.00Ã-10âˆ'15m with a proton at each vertex? Assume the protons started from very far away.

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  1. 31 October, 21:39
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    Potential energy of system of three protons kept on the vertices of an equilateral triangle of side 2 x 10⁻¹⁵ m

    = k (q₁q₂ / r₁₂ + q₂q₃/r₂₃ + q₁q₃ / r₁₃)

    = k x 3 q² / r

    = 9 x 10⁹ x 3 x (1.6 x 10⁻¹⁹) ² / 2 x 10⁻¹⁵

    = 34.56 x 10⁻¹⁴ J

    Potential at infinity is zero

    so work done

    = 34.56 x 10⁻¹⁴ J - 0

    = 34.56 x 10⁻¹⁴ J
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