The electron in a hydrogen atom makes a trans | vedclass

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

Question

(A) For a hydrogen atom,the total energy $E_n$,potential energy $U_n$,and kinetic energy $K_n$ are given by:$E_n = -13.6 \frac{Z^2}{n^2} 	ext{ eV}$$U

Vedclass · Accepted Answer

Its kinetic energy increases and its potential and total energies decrease.

Vedclass · Answer

(A) For a hydrogen atom,the total energy $E_n$,potential energy $U_n$,and kinetic energy $K_n$ are given by:$E_n = -13.6 \frac{Z^2}{n^2} 	ext{ eV}$$U_n = 2E_n = -27.2 \frac{Z^2}{n^2} 	ext{ eV}$$K_n = |E_n| = 13.6 \frac{Z^2}{n^2} 	ext{ eV}$When an electron transitions from an excited state $(n > 1)$ to the ground state $(n = 1)$,the value of $n$ decreases.As $n$ decreases,$K_n$ increases because it is proportional to $1/n^2$.Since $E_n$ and $U_n$ are negative and their magnitudes decrease as $n$ decreases,their values become more negative,meaning they decrease.Therefore,kinetic energy increases,while potential and total energies decrease.

The electron in a hydrogen atom makes a transition from an excited state to the ground state. Which of the following statements is true?

Similar Questions

The binding energy of a hydrogen atom in the ground state is $13.6 \ eV$. The energies required to remove an electron from the first three energy levels of the hydrogen atom are,respectively,(in $eV$):

The ratio of the energies of the hydrogen atom in its first to second excited state is

The total energy of a hydrogen atom in its ground state is $-13.6 \ eV$. If the potential energy in the first excited state is taken as zero,then the total energy in the ground state will be ..... $eV$.

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,

In a hydrogen atom,the electron makes a transition from the $(n+1)^{\text{th}}$ level to the $n^{\text{th}}$ level. If $n >> 1$,the frequency of the radiation emitted is proportional to:

Vedclass Test Series

Exam Paper Generator

Online Exam Module