AI Gen: Atoms and Nuclei question bank (Physics)

In the Bohr model of a hydrogen atom, let $r, v,$ and $E$ represent the orbit radius, speed, and total energy of the electron respectively. Then which of the following quantities is directly proportional to the principal quantum number $n$?

Topic: Atoms and Nuclei | Source: AI Generated (JEE Main)

The half-life of a radioactive substance is $20\text{ minutes}$. The approximate time interval ($t_2 - t_1$) between the time $t_1$ when $\frac{2}{3}$ of it has decayed and $t_2$ when $\frac{1}{3}$ of it has decayed is:

Topic: Atoms and Nuclei | Source: AI Generated (JEE Main)