The zirconium nucleus contains 40 protons, and an electron is 1.0 nm from the nucleus. What is the electric force on the electron due to the nucleus?

Respuesta :

The electric force on the electron due to the nucleus is 9.24 × [tex]10^{-9} N[/tex]

The essential quality that a material thing must have in order to interact electromagnetically with its environment is a charge. Coulomb's law asserts that the force of attraction, as well as repulsion between two charges q1 as well as q2 separated by a distance r, determines the electric force separating charges at rest (branch of electrostatics).

F = K [tex]q_{1} q_{2} / r^{2}[/tex]

Given data:

n = 40

r = 1 nm

Charge (q) can be determined by the formula:

q = ne

q = 40 × 1.6 × [tex]10^{-19}[/tex] = 64  × [tex]10^{-19}[/tex]  C

Electric charge can be calculated as by using the formula:

F = K [tex]q_{1} q_{2} / r^{2}[/tex]

F = 9 × [tex]10^{9}[/tex] ×  64  × [tex]10^{-19}[/tex]  × 1.6 × [tex]10^{-19}[/tex] / [tex]10^{-18}[/tex]

F =  9.24 × [tex]10^{-9} N[/tex]

Therefore, the electric force on the electron due to the nucleus is 9.24 × [tex]10^{-9} N[/tex].

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