An electron of a hydrogen-like atom,having Z= | vedclass

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

Question

(D) The energy of an electron in the $n^{	ext{th}}$ orbit of a hydrogen-like atom is given by $E_n = -13.6 \frac{Z^2}{n^2} 	ext{ eV}$.The energy rel

Vedclass · Accepted Answer

$40.8$

Vedclass · Answer

(D) The energy of an electron in the $n^{	ext{th}}$ orbit of a hydrogen-like atom is given by $E_n = -13.6 \frac{Z^2}{n^2} 	ext{ eV}$.The energy released when an electron jumps from an initial state $n_i$ to a final state $n_f$ is $\Delta E = E_{n_i} - E_{n_f} = 13.6 Z^2 \left( \frac{1}{n_f^2} - \frac{1}{n_i^2} ight) 	ext{ eV}$.Given $Z = 4$,$n_i = 4$,and $n_f = 2$:$\Delta E = 13.6 	imes (4)^2 \left( \frac{1}{2^2} - \frac{1}{4^2} ight) 	ext{ eV}$.$\Delta E = 13.6 	imes 16 \left( \frac{1}{4} - \frac{1}{16} ight) 	ext{ eV}$.$\Delta E = 13.6 	imes 16 \left( \frac{4-1}{16} ight) 	ext{ eV}$.$\Delta E = 13.6 	imes 3 	ext{ eV} = 40.8 	ext{ eV}$.

Similar Questions

$A$ difference of $5.4 \ eV$ separates two energy levels in an atom. What is the frequency of radiation emitted when the atom makes a transition from the upper level to the lower level? (Take $1 \ eV = 1.6 \times 10^{-19} \ J$,$h = 6.625 \times 10^{-34} \ Js$)

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 diagram shows the energy levels for an electron in a certain atom. Which transition shown represents the emission of a photon with maximum wavelength?

The energy $E$ of a hydrogen atom with principal quantum number $n$ is given by $E = \frac{-13.6}{n^2} \; eV$. The energy of a photon emitted when the electron jumps from the $n = 3$ state to the $n = 2$ state of hydrogen is approximately......$eV$.

In the Bohr model of the hydrogen atom,what is the energy required to remove an electron from the ground state $(n = 1)$ (in $eV$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module