The following diagram indicates the energy le | vedclass

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

Question

(D) The energy of the emitted photon is equal to the difference in energy levels.For the transition from $2E$ to $E$:$\Delta E_1 = 2E - E = E = \frac{

Vedclass · Accepted Answer

$3\lambda$

Vedclass · Answer

(D) The energy of the emitted photon is equal to the difference in energy levels.For the transition from $2E$ to $E$:$\Delta E_1 = 2E - E = E = \frac{hc}{\lambda} \Rightarrow E = \frac{hc}{\lambda} \quad ... (1)$For the transition from $\frac{4E}{3}$ to $E$:$\Delta E_2 = \frac{4E}{3} - E = \frac{E}{3} = \frac{hc}{\lambda'} \quad ... (2)$Substituting the value of $E$ from equation $(1)$ into equation $(2)$:$\frac{1}{3} \left( \frac{hc}{\lambda} \right) = \frac{hc}{\lambda'}$$\frac{1}{3\lambda} = \frac{1}{\lambda'} \Rightarrow \lambda' = 3\lambda$Therefore, the wavelength of the photon produced is $3\lambda$.

The following diagram indicates the energy levels of a certain atom. When the system moves from the $2E$ level to the $E$ level, it emits a photon of wavelength $\lambda$. What is the wavelength of the photon produced during its transition from the $\frac{4E}{3}$ level to the $E$ level?

Similar Questions

Let $T_{1}$ and $T_{2}$ be the energy of an electron in the first and second excited states of a hydrogen atom,respectively. According to the Bohr's model of an atom,the ratio $T_{1}: T_{2}$ is

In hydrogen and hydrogen-like atoms,the ratio of the difference of energies $E_{4n}-E_{2n}$ and $E_{2n}-E_{n}$ varies with its atomic number $Z$ and $n$ as:

$A$ hydrogen atom emits blue light when it changes from the $n = 4$ energy level to the $n = 2$ level. Which colour of light would the atom emit when it changes from the $n = 5$ level to the $n = 2$ level?

The ground state energy of a hydrogen atom is $-13.6 \text{ eV}$. When its electron is in the first excited state,its excitation energy is:

The diagram shows different transitions across the energy levels for an electron in a certain atom. Among these,which transition represents the emission of a photon with the most energy?

Vedclass Test Series

Exam Paper Generator

Online Exam Module