If the electron in a hydrogen atom were in th | vedclass

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

Question

(C) The energy of an electron in the $n^{th}$ shell of a hydrogen atom is given by $E_n = -\frac{E_1}{n^2}$,where $E_1 = 2.18 	imes 10^{-18} \ J$ is

Vedclass · Accepted Answer

$2.42 	imes 10^{-19} \ J$

Vedclass · Answer

(C) The energy of an electron in the $n^{th}$ shell of a hydrogen atom is given by $E_n = -\frac{E_1}{n^2}$,where $E_1 = 2.18 	imes 10^{-18} \ J$ is the ionization energy of the ground state $(n=1)$.For $n = 3$,the energy of the electron is $E_3 = -\frac{2.18 	imes 10^{-18}}{3^2} \ J$.$E_3 = -\frac{2.18 	imes 10^{-18}}{9} \ J$.To ionize the atom,we must provide energy equal to the magnitude of the electron's energy in that state to bring it to $E = 0$.Required Energy $= |E_3| = \frac{2.18 	imes 10^{-18}}{9} \ J$.Required Energy $= 0.2422 	imes 10^{-18} \ J = 2.42 	imes 10^{-19} \ J$.

If the electron in a hydrogen atom were in the energy level with $n = 3$,how much energy in joule would be required to ionise the atom? (Ionisation energy of $H$-atom is $2.18 \times 10^{-18} \ J$):

Similar Questions

In a hydrogen atom,when an electron jumps from the ground state to an excited state,the electron's ...

The ionisation potential of a hydrogen atom is $13.6 \, V$. The energy required to remove an electron in the $n = 2$ state of the hydrogen atom is.....$eV$.

$A$ hydrogen atom at the ground level absorbs a photon and is excited to $n=4$ level. The potential energy of the electron in the excited state is

The minimum excitation energy of an electron revolving in the first orbit of hydrogen is (in $eV$)

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module