What is the kinetic energy of an electron in | vedclass

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

Question

(B) For a hydrogen-like species,the energy of an electron in the $n^{th}$ shell is given by $E_n = -13.6 	imes \frac{Z^2}{n^2} \ eV$. For $He^{+}$,th

Vedclass · Accepted Answer

$6.04$

Vedclass · Answer

(B) For a hydrogen-like species,the energy of an electron in the $n^{th}$ shell is given by $E_n = -13.6 	imes \frac{Z^2}{n^2} \ eV$. For $He^{+}$,the atomic number $Z = 2$. The second excited state corresponds to $n = 3$ (ground state $n=1$,first excited state $n=2$,second excited state $n=3$). Substituting the values: $E_3 = -13.6 	imes \frac{2^2}{3^2} = -13.6 	imes \frac{4}{9} \ eV$. $E_3 = -6.044 \ eV$. The kinetic energy $(KE)$ of an electron is equal to the magnitude of its total energy,i.e.,$KE = |E_n|$. Therefore,$KE = 6.044 \ eV \approx 6.04 \ eV$.

What is the kinetic energy of an electron in the second excited state of $He^{+}$? (Energy of an electron in the first shell of $H = -13.6 \ eV$)

Similar Questions

The maximum energy is present in any electron at

The ratio of the highest to the lowest wavelength of Lyman series is

The energy of an electron in a hydrogen atom when present in $n=1$,$n=2$,and $n=3$ will be in the ratio of:

Heat treatment of muscular pain involves radiation of wavelength of about $900 \ nm$. Which spectral line of $H$ atom is suitable for this? Given: Rydberg constant $R_{H}=10^5 \ cm^{-1}, h=6.6 \times 10^{-34} \ J \ s, c=3 \times 10^8 \ m / s$.

Describe Rutherford's atomic model.

Vedclass Test Series

Exam Paper Generator

Online Exam Module