Chapter 30, Problem 10PE

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

Chapter
Section

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

# Verify that the ground state energy E 0 is 13.6 eV by using E 0 = 2 π 2 q e 4 m e k 2 h 2 .

To determine

To prove:

The ground state energyEo is13.6eV by usingEo=2π2qe4mek2h2

Explanation

Given Data:

The ground state energyEo=2Ï€2qe4mek2h2.

Formula Used:

Ground state energy is given as

Eo=2Ï€2qe4mek2h2

WhereEo= Ground state energy

h= Planck's Constant

me= Mass of electron

k= Electrostatic Constant

qe= Charge of electron

Calculation:

We have

â€ƒâ€ƒh=6.626Ã—10âˆ’34J.s

â€ƒâ€ƒme=9.11Ã—10âˆ’31kg

â€ƒâ€ƒqe=1.60Ã—10âˆ’19C

â€ƒâ€ƒk=9Ã—109N

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