Question

If the radius of 2^nd Bohr orbit of hydrogen atom is r₂. The radius of third Bohr orbit will be

• A. $\frac{4}{9}r_{2}$
• B. $4r_{2}$
• C. $\frac{9}{4}r_{3}$
• D. $9r_{2}$

Answer 1

Answer: (C)

$\frac{9}{4}r_{3}$

Answer 2

$r = \frac{n^{2}h^{2}}{4\pi^{2}mZe^{2}}$ $\therefore$ $\frac{r_{2}}{r_{3}} = \frac{2^{2}}{3^{2}}$ $\therefore$ $r_{3} = \frac{9}{4}r_{2}$