How much work must be done to pull apart the | vedclass

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

Question

(B) The electrostatic potential energy of the electron-proton system is defined as zero when they are at an infinite distance apart.To pull the electr

Vedclass · Accepted Answer

$3.4 	imes 1.6 	imes 10^{-19} 	ext{ J}$

Vedclass · Answer

(B) The electrostatic potential energy of the electron-proton system is defined as zero when they are at an infinite distance apart.To pull the electron and proton apart from the state $n = 2$,we must provide energy equal to the binding energy of that state.The energy of an electron in the $n$-th orbit of a Hydrogen atom is given by $E_n = -\frac{13.6}{n^2} 	ext{ eV}$.For $n = 2$,the energy is $E_2 = -\frac{13.6}{2^2} = -\frac{13.6}{4} = -3.4 	ext{ eV}$.The work done $W$ required to move the electron to infinity (where $E_f = 0$) is $W = E_f - E_i = 0 - (-3.4 	ext{ eV}) = 3.4 	ext{ eV}$.Converting this to Joules: $W = 3.4 	imes 1.6 	imes 10^{-19} 	ext{ J}$.

How much work must be done to pull apart the electron and the proton that make up the Hydrogen atom,if the atom is initially in the state with $n = 2$?

Similar Questions

If the ionization potential of an atom is $122.4 \, V$,then the excitation potentials for the first and second excited states are respectively:

In a hydrogen atom,the electron is in the $n^{th}$ excited state. It may come down to the second excited state by emitting ten different wavelengths. What is the value of $n$?

The potential energy of the orbital electron in the ground state of a hydrogen atom is $-E$. What is its kinetic energy?

The ratio of energies of photons produced due to the transition of an electron in a hydrogen atom from its $(i)$ $3^{\text{rd}}$ to $2^{\text{nd}}$ energy level and (ii) highest energy level to $3^{\text{rd}}$ level is:

If the potential energy of a hydrogen atom in the first excited state is assumed to be zero, then the total energy of the $n = \infty$ state is,

Vedclass Test Series

Exam Paper Generator

Online Exam Module