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In the Bohr model of the hydrogen atom, the speed of the electron is approximately 2.2 106 m/s.
Find the central force acting on the electron as it revolves in a circular orbit of radius 4.63 x 10-11 m.
Answer in units of N.

Sagot :

onyebuchinnaji

The central force acting on the electron as it revolves in a circular orbit is [tex]9.52 \times 10^{-8} \ N[/tex].

The given parameters;

  • speed of electron, v = 2.2 x 10⁶ m/s
  • radius of the circle, r = 4.63 x 10⁻¹¹ m

The central force acting on the electron as it revolves in a circular orbit is calculated as follows;

[tex]F = \frac{M_e v^2}{r} \\\\[/tex]

where;

[tex]M_e[/tex] is mass of electron = 9.11 x 10⁻³¹ kg

[tex]F = \frac{(9.11 \times 10^{-31}) \times(2.2\times 10^6)^2 }{4.63 \times 10^{-11}} \\\\F = 9.52 \times 10^{-8} \ N[/tex]

Thus, the central force acting on the electron as it revolves in a circular orbit is [tex]9.52 \times 10^{-8} \ N[/tex].

Learn more about centripetal force here:https://brainly.com/question/20905151

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