An electron initially present in an excited s | vedclass

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

Question

(B) Let the electron be initially in state $n_1$ and excited to state $n_2$ by the incident photon.The total number of photons emitted when returning

Vedclass · Accepted Answer

$2^{nd}$ excited state

Vedclass · Answer

(B) Let the electron be initially in state $n_1$ and excited to state $n_2$ by the incident photon.The total number of photons emitted when returning from $n_2$ to $n=1$ is given by $\frac{n_2(n_2-1)}{2} = 10$.Solving for $n_2$,we get $n_2^2 - n_2 - 20 = 0$,which gives $n_2 = 5$.The energy of the incident photon is $E_{photon} = E_{n_2} - E_{n_1} = E_5 - E_{n_1}$.Transitions from $n_i$ to $n_f$ result in photons with energy $E_{n_i} - E_{n_f}$.We are given that $7$ transitions have energy greater than $E_5 - E_{n_1}$.The total number of possible transitions from $n=5$ to $n=1$ is $10$. These are: $(5 	o 4, 5 	o 3, 5 	o 2, 5 	o 1, 4 	o 3, 4 	o 2, 4 	o 1, 3 	o 2, 3 	o 1, 2 	o 1)$.Transitions with energy greater than $E_5 - E_{n_1}$ are those where the final state $n_f If $n_1 = 3$,the incident photon energy is $E_5 - E_3$. Transitions with energy $> E_5 - E_3$ are $(5 	o 2, 5 	o 1, 4 	o 2, 4 	o 1, 3 	o 2, 3 	o 1, 2 	o 1)$,which are exactly $7$ transitions.Thus,$n_1 = 3$,which corresponds to the $2^{nd}$ excited state.

An electron initially present in an excited state of $H$ atom is further excited to another energy level by an incident photon. It releases $10$ photons while coming back to the ground state,out of which $7$ have higher energy than the incident photon. The electron was initially present in

Similar Questions

Which of the following pairs of orbitals possess two nodal planes?

$A$ force acts on a $3\, g$ particle in such a way that the position of the particle as a function of time is given by $x = 3t - 4t^2 + t^3$,where $x$ is in $meters$ and $t$ is in $seconds$. The work done during the first $4\, seconds$ is .............. $mJ$.

What do athletes misuse to increase muscle strength?

Vedclass Test Series

Exam Paper Generator

Online Exam Module