Find the radius of the orbit corresponding to the 4th excite... | Physics | SolveeIt | Solveeit

Today, August 19

Question

Find the radius of the orbit corresponding to the 4th excited state in Li++. (a0 is the radius of first orbit in H-atom)

A

$\frac{25}{3}\, a_0$

B

$\frac{16}{3}\, a_0$

C

$25\, a_0$

D

$12\, a_0$

Answer

$\frac{25}{3}\, a_0$

Explanation

Solution

The correct answer is option (A): $\frac{25}{3}\, a_0$

$r_n=\frac{a_0n^2}{z}$

$=a_0(\frac{25}{3})$