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].
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