Physics for Science and Engineering With Modern Physics, VI - Student Study Guide
Physics for Science and Engineering With Modern Physics, VI - Student Study Guide
4th Edition
ISBN: 9780132273244
Author: Doug Giancoli
Publisher: PEARSON
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Chapter 38, Problem 1Q

(a)

To determine

The differences and similarities between the matter wave ψ and a wave on a string.

(a)

Expert Solution
Check Mark

Answer to Problem 1Q

Both matter wave ψ as well as a wave on a string shows the properties of a wave such as of getting diffracted.

The significant differences between a matter wave ψ and a wave on a string are tabulated below.

Explanation of Solution

Both matter wave ψ as well as a wave on a string shows the properties of a wave such as of getting diffracted.

The significant differences between a matter wave ψ and a wave on a string are tabulated below.

Matter waveWave on a string
It is a non-mechanical wave.It is a mechanical wave.
It does not involve any oscillations.It is produced through oscillations.
It refers to probability distribution.It refers to energy distribution.
It does not require medium to propagate.It requires a medium to propagate.
Its velocity depends on the velocity of matter particle.Its velocity depends on the type of medium.

(b)

To determine

The differences and similarities between the matter wave ψ and an electromagnetic wave.

(b)

Expert Solution
Check Mark

Answer to Problem 1Q

Both matter wave ψ as well as electromagnetic waves shows the properties of a wave and do not require any medium to propagate.

The significant differences between a matter wave and a wave on a string are tabulated below.

Explanation of Solution

Both matter wave ψ as well as electromagnetic waves shows the properties of a wave and do not require any medium to propagate.

The significant differences between a matter wave ψ and a wave on a string are tabulated below.

Matter waveElectromagnetic wave
It is produced through beam of particles such as electrons.It is produced through electrical and magnetic field.
It cannot propagate in vacuum.It can propagate in vacuum.
It is the propagation of information of particles.It is the propagation of electromagnetic energy.
It has variable velocity.It has constant velocity.
Its wavelength is not easily quantifiable.Its wavelength is easily quantifiable.

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(100) An clectron is confined to a region of space that is L distance long (this is the "particle in a box" problem discussed in class). Draw a diagram of the allowed wave functions for the electron's first four energy levels. Also draw the square of the wave functions on your diagram. What are the wavelengths of each of these wave functions? n = 4 E4 n = 3 Ез E2 E, For the fourth energy level, what is the probability of finding the clectron in the far left quarter of the box?
The matter has wave-like properties. Explain how?

Chapter 38 Solutions

Physics for Science and Engineering With Modern Physics, VI - Student Study Guide

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