# An electron moves with a velocity of 2.5 X 10 8 cm/s. What is its wavelength?

### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

Chapter
Section

### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 6, Problem 23PS
Textbook Problem
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## An electron moves with a velocity of 2.5 X 108 cm/s. What is its wavelength?

Interpretation Introduction

Interpretation: The wavelength associated with an electron has to be calculated.

Concept introduction:

The de Broglie’s equation is used to relate the wavelength to mass of a particle and the velocity at which it moves.

λ=hmvwhere, h=Planck'sconstantλ=wavelengthm=massoftheparticlev=velocityatwhichtheparticlemoves

### Explanation of Solution

The wavelength associated with an electron is calculated below.

Given,

Massoftheelectron=9.11×1031kgPlanck'sconstant,h=6.626×1034J.sVelocityoftheelectron, v=2.5×108cm/s=2.5×106m/s

According to de Broglie’s equation, wavelength associated with an electron is,

λ=hmv=6.626×1034J.s9.11×1031kg×2.5×106m/s=2

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