Q87 / 90 · JEE Main 2024 (27 Jan Shift 1) · Physics

The radius of third stationary orbit of electron for Bohr's atom is $R$ . The radius of fourth stationary orbit will be:

Solution

From Bohr's atomic model, it follows that

$r_{n} = \frac{n^{2}}{Z} r_{1} . . . (1)$

Following equation (1), it can be written that

$\frac{r_{4}}{r_{3}} = \frac{4^{2}}{3^{2}} \Rightarrow r_{4} = \frac{16}{9} R$

Hence, the correct answer is option: 'B'.