In the Bohr's atomic model, the electrostatic force of attraction between nuclear charge () and elec — Atomic Structure Chemistry Question
Question
In the Bohr's atomic model, the electrostatic force of attraction between nuclear charge ($Z_e$) and electron of charge $e$ is balanced by the centripetal force acting towards the centre of atom. If $\epsilon_0$ be the permittivity of vacuum and $r$ be the radius of orbit in which electron is revolving, the speed of electron is
Answer: A
💡 Solution & Explanation
Centripetal force = Electrostatic force. $\frac{mv^2}{r} = \frac{1}{4\pi\epsilon_0} \frac{Ze \cdot e}{r^2} \implies v^2 = \frac{Ze^2}{4\pi\epsilon_0 mr} \implies v = \sqrt{\frac{Ze^2}{4\pi\epsilon_0 mr}}$. Therefore, correct answer is A.
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