The ratio of the radii of two Bohr orbits of | vedclass

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

Question

(B) The radius of the $n^{th}$ Bohr orbit is given by the formula $r_n = a_0 n^2$,where $a_0$ is the Bohr radius and $n$ is the principal quantum numb

Vedclass · Accepted Answer

$L$ and $K$

Vedclass · Answer

(B) The radius of the $n^{th}$ Bohr orbit is given by the formula $r_n = a_0 n^2$,where $a_0$ is the Bohr radius and $n$ is the principal quantum number. Given the ratio of the radii $r_1 : r_2 = 4 : 1$,we have $\frac{n_1^2}{n_2^2} = \frac{4}{1}$,which implies $\frac{n_1}{n_2} = \frac{2}{1}$. Thus,$n_1 = 2$ and $n_2 = 1$. The orbit with $n=1$ is designated as $K$ and the orbit with $n=2$ is designated as $L$. Therefore,the designations are $L$ and $K$.

The ratio of the radii of two Bohr orbits of a hydrogen atom is $4:1$. What are their designations?

Similar Questions

The wavelength of the first line of the Lyman series for hydrogen is $1216 \ \mathring{A}$. The wavelength of the first line of the same series for a $10$ times ionized sodium atom $(Z = 11)$ will be ......... $\mathring{A}$.

The Bohr orbit radius for the hydrogen atom $(n = 1)$ is approximately $0.530 \ \mathring{A}$. The radius for the first excited state $(n = 2)$ orbit is ........... $\mathring{A}$

Calculate the wave number for the longest wavelength transition in the Balmer series of atomic hydrogen.

When an electron revolves in a stationary orbit,then:

Which of the following models states that "In an atom,the positive charge is uniformly distributed and electrons are embedded into it"?

Vedclass Test Series

Exam Paper Generator

Online Exam Module