A hydrogen atom emits blue light when it chan | vedclass

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

Question

(D) The energy of a photon emitted during a transition between energy levels $n_i$ and $n_f$ is given by $\Delta E = 13.6 \left( \frac{1}{n_f^2} - \fr

Vedclass · Accepted Answer

Violet

Vedclass · Answer

(D) The energy of a photon emitted during a transition between energy levels $n_i$ and $n_f$ is given by $\Delta E = 13.6 \left( \frac{1}{n_f^2} - \frac{1}{n_i^2} ight) 	ext{ eV}$.For the transition $n = 4 	o n = 2$,the energy emitted corresponds to blue light.For the transition $n = 5 	o n = 2$,the energy difference is $\Delta E_{5 	o 2} = 13.6 \left( \frac{1}{2^2} - \frac{1}{5^2} ight) = 13.6 \left( \frac{1}{4} - \frac{1}{25} ight) = 13.6 \left( \frac{21}{100} ight) = 2.856 	ext{ eV}$.For the transition $n = 4 	o n = 2$,the energy difference is $\Delta E_{4 	o 2} = 13.6 \left( \frac{1}{2^2} - \frac{1}{4^2} ight) = 13.6 \left( \frac{1}{4} - \frac{1}{16} ight) = 13.6 \left( \frac{3}{16} ight) = 2.55 	ext{ eV}$.Since $\Delta E_{5 	o 2} > \Delta E_{4 	o 2}$,the frequency of the emitted light will be higher,and the wavelength will be shorter.In the visible spectrum,violet light has a higher frequency and shorter wavelength than blue light. Therefore,the atom emits violet light.

$A$ 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?

Similar Questions

The energy required to knock out the electron in the third orbit of a hydrogen atom is equal to

The kinetic energy of an electron in the $n^{th}$ orbit of a hydrogen-like species with atomic number $Z$ is $13.6 \frac{Z^2}{n^2} \ eV$. The potential energy of this electron in the same orbit will be:

An electron with kinetic energy $E$ collides with a hydrogen atom in the ground state. The collision will be elastic

As an electron makes a transition from an excited state to the ground state of a hydrogen-like atom/ion:

The number of spectral lines emitted by atomic hydrogen that is in the $4^{\text{th}}$ energy level is

Vedclass Test Series

Exam Paper Generator

Online Exam Module