Chapter 30, Problem 9PE

### 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

# Look up the values of the quantities in a B = h 2 4 π 2 m e k q e 2 , and verify that the Bohr radius a B is 0.529 × 10 − 10 m.

To determine

To prove:

The Bohr radiusaB is0.529×1010m when the values of the quantities inaB=h24π2mekqe2

Explanation

Given Data:

GivenaB=h24Ï€2mekqe2

Formula Used:

Bohr radius is given as

rB=h24Ï€2mekqe2

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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