Energy levels A,B and C of a certain atom cor | vedclass

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

Question

(D) From the energy level diagram,the energy difference for the transition from $C$ to $A$ is the sum of the energy differences for the transitions fr

Vedclass · Accepted Answer

$\lambda_3 = \frac{\lambda_1 \lambda_2}{(\lambda_1 + \lambda_2)}$

Vedclass · Answer

(D) From the energy level diagram,the energy difference for the transition from $C$ to $A$ is the sum of the energy differences for the transitions from $C$ to $B$ and $B$ to $A$.$(E_C - E_A) = (E_C - E_B) + (E_B - E_A)$Using the relation $E = \frac{hc}{\lambda}$,we can write:$\frac{hc}{\lambda_3} = \frac{hc}{\lambda_1} + \frac{hc}{\lambda_2}$Dividing both sides by $hc$:$\frac{1}{\lambda_3} = \frac{1}{\lambda_1} + \frac{1}{\lambda_2}$$\frac{1}{\lambda_3} = \frac{\lambda_2 + \lambda_1}{\lambda_1 \lambda_2}$Therefore,$\lambda_3 = \frac{\lambda_1 \lambda_2}{\lambda_1 + \lambda_2}$.

Energy levels $A$,$B$ and $C$ of a certain atom correspond to increasing values of energy,i.e.,$E_A < E_B < E_C$. If $\lambda_1$,$\lambda_2$,and $\lambda_3$ are the wavelengths of the photons corresponding to the transitions shown in the figure,then:

Similar Questions

The energy of a hydrogen atom in the $n^{th}$ orbit is $E_n$. What will be the energy in the $n^{th}$ orbit of a singly ionized helium atom?

In Bohr's atomic model of hydrogen,let $K$,$P$ and $E$ be the kinetic energy,potential energy and total energy of the electron,respectively. Choose the correct option when the electron undergoes transitions to a higher level.

The binding energy of an electron in a $H$-atom with $n = 4$ is ....... $eV$. (Magnitude only)

The energy of a hydrogen atom in its ground state is $-13.6 \ eV$. The energy of the level corresponding to the quantum number $n = 2$ (first excited state) in the hydrogen atom is......$eV$.

The energy required to remove an electron from the $n = 10$ state of a hydrogen atom is ....... (in $, eV$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module