# Determine the strength of the interaction of an electron with a nucleus in a hydrogen atom

Determine the strength of the interaction of an electron with a nucleus in a hydrogen atom if the distance between them is 0.5 * 10 ^ -8 cm.

Given: r (distance between an electron and a proton of a hydrogen atom (a hydrogen atom contains 1 electron and 1 proton)) = 0.5 * 10 ^ -8 cm (0.5 * 10 ^ -10 m).
Reference data: q1 (proton charge) = -q2 (electron charge) = e = 1.6 * 10 ^ -19 C; k (proportionality coefficient) = 9 * 10 ^ 9 N * m2 / Cl2.
The force of interaction of an electron with a nucleus in a hydrogen atom is determined using the Coulomb law: F = k * q1 * q ^ 2 / r ^ 2 = k * e ^ 2 / r ^ 2.
Calculation: F = 9 * 10 ^ 9 * (1.6 * 10 ^ -19) ^ 2 / (0.5 * 10 ^ -10) 2 = 92.16 * 10 ^ -9 N (92.16 nN) …

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