Previous Year NEET Question- The Atomic Nucleus

• 2019: The angular velocity of the electron is not given by a classical formula and is not a well-defined concept in quantum mechanics.

$$\omega = \frac{2\pi}{T}$$

where $T$ is the period of revolution. The period of revolution is given by

$$T = \frac{2\pi r}{v}$$

where $r$ is the radius of the orbit and $v$ is the speed of the electron. Substituting this into the equation for angular velocity, we get

$$\omega = \frac{v}{r}$$

The speed of the electron is given by $ v = \sqrt{\frac{2K}{m}} $

$$v = \frac{2\pi e}{nh}$$

where $e$ is the charge of the electron, $h$ is Planck’s constant, and $n$ is the principal quantum number. Substituting this into the equation for angular velocity, we get

$$\omega = \frac{2\pi e^2}{nh} \frac{nh}{2\pi r} = \frac{e^2}{2r}$$

Substituting the values into