What is the radius ratio for the 2^{nd} orbit | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The radius of an orbit in a hydrogen-like species is given by the formula: $r_n = a_0 	imes \frac{n^2}{Z}$,where $a_0$ is the Bohr radius,$n$ is

Vedclass · Accepted Answer

$16 : 27$

Vedclass · Answer

(B) The radius of an orbit in a hydrogen-like species is given by the formula: $r_n = a_0 	imes \frac{n^2}{Z}$,where $a_0$ is the Bohr radius,$n$ is the orbit number,and $Z$ is the atomic number.For $Li^{+2}$ ion $(Z=3)$: $n_1 = 2$,$Z_1 = 3$. So,$r_1 = a_0 	imes \frac{2^2}{3} = a_0 	imes \frac{4}{3}$.For $Be^{+3}$ ion $(Z=4)$: $n_2 = 3$,$Z_2 = 4$. So,$r_2 = a_0 	imes \frac{3^2}{4} = a_0 	imes \frac{9}{4}$.The ratio is $\frac{r_1}{r_2} = \frac{4/3}{9/4} = \frac{4}{3} 	imes \frac{4}{9} = \frac{16}{27}$.

What is the radius ratio for the $2^{nd}$ orbit of $Li^{+2}$ ion to the $3^{rd}$ orbit of $Be^{+3}$ ion?

Similar Questions

In the hydrogen spectrum,if an electron transitions from the $6^{th}$ orbit to the $2^{nd}$ orbit through multiple steps,the number of spectral lines produced is ....

The total number of spectral lines observed when an electron returns from the $6^{th}$ shell to the $2^{nd}$ shell in a hydrogen atom is:

What will be the ionization energy in $eV$ for an excited hydrogen atom?

If the electron of a hydrogen atom is present in the first orbit,the total energy of the electron is

Which of the following transitions has the minimum wavelength?

Vedclass Test Series

Exam Paper Generator

Online Exam Module