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Modern Physics
Found in: Page 136
Modern Physics

Modern Physics

Book edition 2nd Edition
Author(s) Randy Harris
Pages 633 pages
ISBN 9780805303087

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Short Answer

An electron moves along the x-axis with a well-defined momentum of 5×10-25kg.ms. Write an expression describing the matter wave associated with this electron. Include numerical values where appropriate.

A statement that describes the matter wave that this electron is linked with


See the step by step solution

Step by Step Solution

Step 1: Given.

The momentum of the electron is p=5×10-25kg·m/s

Step 2: Concept Introduction

The equation of an electromagnetic wave can be expressed as,

ψ(x,t)=Aei(kx-ωt) …………(1)

Step 3: Calculate the value of k

As a result, we must determine the values of k and w .

p=hkk=phk=5×10-25kg·m/s6.63×10-34kg·m2/sk=7.54×108 m-1 ..(2)

Step 3: Calculate the value of ω


ω=p22mh=25×10 - 50 kg2.m2s22×9.1×10 - 31 kg×6.63×10 - 34 kg.ms

ω=2.07×1015 s-1 .............. (1)

Substitute values from equations (2) and (3) into equation (1), and we get,


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