\nThe, centripetal force on electron will be equal to the electrostatic force between the electron and nucleus. Centripetal force at a distance r will be:
\n\n\n\n
Potential energy of electron is given by-
\n\n\n\n
Kinetic energy of electron is given by-
\n\n\n\n
Total energy is given by-
\n\n\n\n\n\n
Negative sign indicates that the revolving electron is bound to the positive nucleus.
\n\n"},"comment":{"@type":"Comment","text":"According to Rutherford's model, we have. Energy is negative implies that the electron –nucleus is a bound or attractive system."},"encodingFormat":"text/markdown","learningResourceType":"Practice problem","suggestedAnswer":[],"text":"Using Rutherford model of the atom, derive the expression for the total energy of the electron in hydrogen atom. What is the significance of total negative energy possessed by the electron?"},"name":"Quiz on Atoms","typicalAgeRange":"10-17","url":"https://www.embibe.com/questions/Using-Rutherford-model-of-the-atom%2C-derive-the-expression-for-the-total-energy-of-the-electron-in-hydrogen-atom.-What-is-the-significance-of-total-negative-energy-possessed-by-the-electron%3F/EM8400912"}
Embibe Experts Solutions for Chapter: Atoms, Exercise 1: Exercise
Author:Embibe Experts
Embibe Experts Physics Solutions for Exercise - Embibe Experts Solutions for Chapter: Atoms, Exercise 1: Exercise
Attempt the practice questions on Chapter 13: Atoms, Exercise 1: Exercise with hints and solutions to strengthen your understanding. Physics Crash Course (Based on Revised Syllabus-2023) solutions are prepared by Experienced Embibe Experts.
Questions from Embibe Experts Solutions for Chapter: Atoms, Exercise 1: Exercise with Hints & Solutions
Using Rutherford model of the atom, derive the expression for the total energy of the electron in hydrogen atom. What is the significance of total negative energy possessed by the electron?