The wavelength of an electron wave in its ground state and first excited state are to be calculated. Concept introduction: There are mainly two types of waves; travelling waves and standing waves. A travelling wave is a wave that propagates through space. For example, electromagnetic radiation. A standing wave originates in a place where physical boundary is present. For example, guitar string which has fixed ends. If oneconsider an electron fixed between two atoms in a chemical bond , it can act as a wave and one call it as the wave nature of electron.

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Answer 1

Question

Chapter 4, Problem 30P

(a)

Interpretation Introduction

Interpretation:

The wavelength of an electron wave in its ground state and first excited state are to be calculated.

Concept introduction:

There are mainly two types of waves; travelling waves and standing waves. A travelling wave is a wave that propagates through space. For example, electromagnetic radiation. A standing wave originates in a place where physical boundary is present. For example, guitar string which has fixed ends. If oneconsider an electron fixed between two atoms in a chemical bond, it can act as a wave and one call it as the wave nature of electron.

(b)

Interpretation Introduction

Interpretation:

The number of nodes in first excited state of the given electron is to be calculated.

Concept introduction:

There are mainly two types of waves; travelling waves and standing waves. A travelling wave is a wave that propagates through space. For example, electromagnetic radiation. A standing wave originates in a place where physical boundary is present. For example, guitar string which has fixed ends.

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Suppose we picture an electron in a chemical bond asbeing a wave with fixed ends. Take the length of the bondto be 1.0 Å.(a) Calculate the wavelength of the electron wave in itsground state and in its first excited state.(b) How many nodes does the first excited state have?

Consider an electron in the N shell. (a) What is the smallest orbital angular momentum it could have? (b) What is the largest orbital angular momentum it could have? Express your answers in terms of h and in SI units. (c) What is the largest orbital momentum this electron could have in any chosen direction? Express your answers in terms of h and in SI units. (d) What is the largest spin angular momentum this electron could have in any chosen direction? Express your answers in terms of h and in SI units. (e) For the electron in part (c), what is the ratio of its spin angular momentum in the z-direction to its orbital angular momentum in the z direction? E and d no answer

Consider an electron in the N shell. (a) What is the smallest orbital angular momentum it could have? (b) What is the largest orbital angular momentum it could have? Express your answers in terms of h and in SI units. (c) What is the largest orbital angular momentum this electron could have in any chosen direction? Express your answers in terms of h and in SI units. (d) What is the largest spin angular momentum this electron could have in any chosen direction? Express your answers in terms of h and in SI units. (e) For the electron in part (c), what is the ratio of its spin angular momentum in the z-direction to its orbital angular momentum in the z-direction?

Answer 2

Question

Chapter 4, Problem 30P

(a)

Interpretation Introduction

Interpretation:

The wavelength of an electron wave in its ground state and first excited state are to be calculated.

Concept introduction:

There are mainly two types of waves; travelling waves and standing waves. A travelling wave is a wave that propagates through space. For example, electromagnetic radiation. A standing wave originates in a place where physical boundary is present. For example, guitar string which has fixed ends. If oneconsider an electron fixed between two atoms in a chemical bond, it can act as a wave and one call it as the wave nature of electron.

(b)

Interpretation Introduction

Interpretation:

The number of nodes in first excited state of the given electron is to be calculated.

Concept introduction:

There are mainly two types of waves; travelling waves and standing waves. A travelling wave is a wave that propagates through space. For example, electromagnetic radiation. A standing wave originates in a place where physical boundary is present. For example, guitar string which has fixed ends.

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Answer 3

Question

Chapter 4, Problem 30P

(a)

Interpretation Introduction

Interpretation:

The wavelength of an electron wave in its ground state and first excited state are to be calculated.

Concept introduction:

There are mainly two types of waves; travelling waves and standing waves. A travelling wave is a wave that propagates through space. For example, electromagnetic radiation. A standing wave originates in a place where physical boundary is present. For example, guitar string which has fixed ends. If oneconsider an electron fixed between two atoms in a chemical bond, it can act as a wave and one call it as the wave nature of electron.

(b)

Interpretation Introduction

Interpretation:

The number of nodes in first excited state of the given electron is to be calculated.

Concept introduction:

There are mainly two types of waves; travelling waves and standing waves. A travelling wave is a wave that propagates through space. For example, electromagnetic radiation. A standing wave originates in a place where physical boundary is present. For example, guitar string which has fixed ends.

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Answer 4

Question

Chapter 4, Problem 30P

(a)

Interpretation Introduction

Interpretation:

The wavelength of an electron wave in its ground state and first excited state are to be calculated.

Concept introduction:

There are mainly two types of waves; travelling waves and standing waves. A travelling wave is a wave that propagates through space. For example, electromagnetic radiation. A standing wave originates in a place where physical boundary is present. For example, guitar string which has fixed ends. If oneconsider an electron fixed between two atoms in a chemical bond, it can act as a wave and one call it as the wave nature of electron.

(b)

Interpretation Introduction

Interpretation:

The number of nodes in first excited state of the given electron is to be calculated.

Concept introduction:

There are mainly two types of waves; travelling waves and standing waves. A travelling wave is a wave that propagates through space. For example, electromagnetic radiation. A standing wave originates in a place where physical boundary is present. For example, guitar string which has fixed ends.

Expert Solution & Answer

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Answer 5

Chapter 4, Problem 30P

(a)

Interpretation Introduction

Interpretation:

The wavelength of an electron wave in its ground state and first excited state are to be calculated.

Concept introduction:

There are mainly two types of waves; travelling waves and standing waves. A travelling wave is a wave that propagates through space. For example, electromagnetic radiation. A standing wave originates in a place where physical boundary is present. For example, guitar string which has fixed ends. If oneconsider an electron fixed between two atoms in a chemical bond, it can act as a wave and one call it as the wave nature of electron.

(b)

Interpretation Introduction

Interpretation:

The number of nodes in first excited state of the given electron is to be calculated.

Concept introduction:

There are mainly two types of waves; travelling waves and standing waves. A travelling wave is a wave that propagates through space. For example, electromagnetic radiation. A standing wave originates in a place where physical boundary is present. For example, guitar string which has fixed ends.

Answer 6

Chapter 4, Problem 30P

(a)

Interpretation Introduction

Interpretation:

The wavelength of an electron wave in its ground state and first excited state are to be calculated.

Concept introduction:

There are mainly two types of waves; travelling waves and standing waves. A travelling wave is a wave that propagates through space. For example, electromagnetic radiation. A standing wave originates in a place where physical boundary is present. For example, guitar string which has fixed ends. If oneconsider an electron fixed between two atoms in a chemical bond, it can act as a wave and one call it as the wave nature of electron.

Answer 7

Chapter 4, Problem 30P

(a)

Interpretation Introduction

Interpretation:

The wavelength of an electron wave in its ground state and first excited state are to be calculated.

Concept introduction:

There are mainly two types of waves; travelling waves and standing waves. A travelling wave is a wave that propagates through space. For example, electromagnetic radiation. A standing wave originates in a place where physical boundary is present. For example, guitar string which has fixed ends. If oneconsider an electron fixed between two atoms in a chemical bond, it can act as a wave and one call it as the wave nature of electron.

Answer 8

(b)

Interpretation Introduction

Interpretation:

The number of nodes in first excited state of the given electron is to be calculated.

Concept introduction:

There are mainly two types of waves; travelling waves and standing waves. A travelling wave is a wave that propagates through space. For example, electromagnetic radiation. A standing wave originates in a place where physical boundary is present. For example, guitar string which has fixed ends.

Answer 9

(b)

Interpretation Introduction

Interpretation:

The number of nodes in first excited state of the given electron is to be calculated.

Concept introduction:

There are mainly two types of waves; travelling waves and standing waves. A travelling wave is a wave that propagates through space. For example, electromagnetic radiation. A standing wave originates in a place where physical boundary is present. For example, guitar string which has fixed ends.

Answer 10

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Answer 11

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Answer 12

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Answer 13

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Solution Summary: The author explains how the wavelength of an electron wave in its ground state and first excited state are to be calculated.

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