According to the Bohr model of a hydrogen atom, the electron behaves as a particle moving in a circular path centered on the proton. The proton is considered to be fixed within an inertial frame, while the required

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Correct answer: B. 2.2 × 10^6 m/s

The centripetal force acting on the electron is provided by the electrostatic force of attraction between the proton and the electron.

\dfrac{mv^2}{r} = \dfrac{1}{4\pi\epsilon_0}\dfrac{e^2}{r^2}

v = \sqrt{\dfrac{1}{4\pi\epsilon_0}\dfrac{e^2}{mr}}

Substituting the given values:

v = \sqrt{\dfrac{9 \times 10^9 \times (1.6 \times 10^{-19})^2}{9.1 \times 10^{-31} \times 5.3 \times 10^{-11}}}

v = \sqrt{\dfrac{23.04 \times 10^{-29}}{48.23 \times 10^{-42}}}

v = \sqrt{4.777 \times 10^{12}}

v \approx 2.18 \times 10^6 \text{ m/s} \approx 2.2 \times 10^6 \text{ m/s}

According to the Bohr model of a hydrogen atom, the electron...

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