Whether the statement is true or not for an electron.

Question

Want to see more full solutions like this?

Answer 1

Question

Chapter 28, Problem 1OQ

(a)

To determine

Whether the statement is true or not for an electron.

(a)

Expert Solution

Answer to Problem 1OQ

True.

Explanation of Solution

In 1905 it was Einstein who suggested the concept of light having a wave particle duality. In a similar way Louise de Broglie suggested that electron also exhibits a dual nature.

Broglie derived a mathematical expression to prove the wave nature of electron along with the particle nature by the given expression,

λ=hmv (I)

Here, λ is the wavelength, h is the Planck’s constant, m is the mass, v is the velocity.

Conclusion:

Therefore, the given statement is true for electron.

(b)

To determine

Whether the rest energy is zero.

(b)

Expert Solution

Answer to Problem 1OQ

The statement is False.

Explanation of Solution

The expression for the rest mass energy is given by,

E0=m0c2 (II)

Here, E0 is the rest mass energy of electron, m0 is the mass of electron, c is the speed of light.

For the electron,

E0=(9.1×10−31 kg)(3×108m/s)2=0.511 MeV

Conclusion:

Therefore, the rest mass energy of the electron will not be zero, the statement is False.

(c)

To determine

Whether it carries energy in its motion.

(c)

Expert Solution

Answer to Problem 1OQ

The statement is true.

Explanation of Solution

Electrons in atoms can act as charge carriers. It carries energy in its motion. For a moving electron it will have a velocity along with the mass. For a moving particle it possess kinetic energy. Thus while moving electron also possess energy.

Conclusion:

Therefore, the statement is true.

(d)

To determine

Whether the electron carries momentum in its motion.

(d)

Expert Solution

Answer to Problem 1OQ

The given statement is true.

Explanation of Solution

Write the expression for the momentum of a particle.

p=mv

Here, p is the momentum and v is the speed.

Electron possess a mass along with velocity in a motion. Thus electron will have momentum.

Conclusion:

Therefore, electron carries momentum in its motion so the given statement is true.

(e)

To determine

Whether the motion of the electron is described by a wave function that has a wavelength and satisfies a wave equation.

(e)

Expert Solution

Answer to Problem 1OQ

The given statement is true.

Explanation of Solution

Electron exhibits both wave and particle nature. Its motion is described by a wave function that has a wavelength and satisfies a wave function. Equation (I) shows that electron have dual nature.

Conclusion:

Therefore, the given statement motion of the electron is described by a wave function that has a wavelength and satisfies a wave equation is true.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

Question 3 of 17 L X L L T 0.5/ In the figure above, three uniform thin rods, each of length L, form an inverted U. The vertical rods each have a mass m; the horizontal rod has a mass 3m. NOTE: Express your answer in terms of the variables given. (a) What is the x coordinate of the system's center of mass? xcom L 2 (b) What is the y coordinate of the system's center of mass? Ycom 45 L X Q Search MD bp N

Sketch the harmonic on graphing paper.

Exercise 1: (a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre- sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case j = 1. (b) Verify that they satisfy the so(3) Lie algebra commutation relation: [D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h). (c) Prove the identity 3 Dm'm,(Î²) = Σ (D(Î¡)D(Î¡))m'¡m; · i=1

Answer 2

Question

Chapter 28, Problem 1OQ

(a)

To determine

Whether the statement is true or not for an electron.

(a)

Expert Solution

Answer to Problem 1OQ

True.

Explanation of Solution

In 1905 it was Einstein who suggested the concept of light having a wave particle duality. In a similar way Louise de Broglie suggested that electron also exhibits a dual nature.

Broglie derived a mathematical expression to prove the wave nature of electron along with the particle nature by the given expression,

λ=hmv (I)

Here, λ is the wavelength, h is the Planck’s constant, m is the mass, v is the velocity.

Conclusion:

Therefore, the given statement is true for electron.

(b)

To determine

Whether the rest energy is zero.

(b)

Expert Solution

Answer to Problem 1OQ

The statement is False.

Explanation of Solution

The expression for the rest mass energy is given by,

E0=m0c2 (II)

Here, E0 is the rest mass energy of electron, m0 is the mass of electron, c is the speed of light.

For the electron,

E0=(9.1×10−31 kg)(3×108m/s)2=0.511 MeV

Conclusion:

Therefore, the rest mass energy of the electron will not be zero, the statement is False.

(c)

To determine

Whether it carries energy in its motion.

(c)

Expert Solution

Answer to Problem 1OQ

The statement is true.

Explanation of Solution

Electrons in atoms can act as charge carriers. It carries energy in its motion. For a moving electron it will have a velocity along with the mass. For a moving particle it possess kinetic energy. Thus while moving electron also possess energy.

Conclusion:

Therefore, the statement is true.

(d)

To determine

Whether the electron carries momentum in its motion.

(d)

Expert Solution

Answer to Problem 1OQ

The given statement is true.

Explanation of Solution

Write the expression for the momentum of a particle.

p=mv

Here, p is the momentum and v is the speed.

Electron possess a mass along with velocity in a motion. Thus electron will have momentum.

Conclusion:

Therefore, electron carries momentum in its motion so the given statement is true.

(e)

To determine

Whether the motion of the electron is described by a wave function that has a wavelength and satisfies a wave equation.

(e)

Expert Solution

Answer to Problem 1OQ

The given statement is true.

Explanation of Solution

Electron exhibits both wave and particle nature. Its motion is described by a wave function that has a wavelength and satisfies a wave function. Equation (I) shows that electron have dual nature.

Conclusion:

Therefore, the given statement motion of the electron is described by a wave function that has a wavelength and satisfies a wave equation is true.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 28, Problem 1OQ

(a)

To determine

Whether the statement is true or not for an electron.

(a)

Expert Solution

Answer to Problem 1OQ

True.

Explanation of Solution

In 1905 it was Einstein who suggested the concept of light having a wave particle duality. In a similar way Louise de Broglie suggested that electron also exhibits a dual nature.

Broglie derived a mathematical expression to prove the wave nature of electron along with the particle nature by the given expression,

λ=hmv (I)

Here, λ is the wavelength, h is the Planck’s constant, m is the mass, v is the velocity.

Conclusion:

Therefore, the given statement is true for electron.

(b)

To determine

Whether the rest energy is zero.

(b)

Expert Solution

Answer to Problem 1OQ

The statement is False.

Explanation of Solution

The expression for the rest mass energy is given by,

E0=m0c2 (II)

Here, E0 is the rest mass energy of electron, m0 is the mass of electron, c is the speed of light.

For the electron,

E0=(9.1×10−31 kg)(3×108m/s)2=0.511 MeV

Conclusion:

Therefore, the rest mass energy of the electron will not be zero, the statement is False.

(c)

To determine

Whether it carries energy in its motion.

(c)

Expert Solution

Answer to Problem 1OQ

The statement is true.

Explanation of Solution

Electrons in atoms can act as charge carriers. It carries energy in its motion. For a moving electron it will have a velocity along with the mass. For a moving particle it possess kinetic energy. Thus while moving electron also possess energy.

Conclusion:

Therefore, the statement is true.

(d)

To determine

Whether the electron carries momentum in its motion.

(d)

Expert Solution

Answer to Problem 1OQ

The given statement is true.

Explanation of Solution

Write the expression for the momentum of a particle.

p=mv

Here, p is the momentum and v is the speed.

Electron possess a mass along with velocity in a motion. Thus electron will have momentum.

Conclusion:

Therefore, electron carries momentum in its motion so the given statement is true.

(e)

To determine

Whether the motion of the electron is described by a wave function that has a wavelength and satisfies a wave equation.

(e)

Expert Solution

Answer to Problem 1OQ

The given statement is true.

Explanation of Solution

Electron exhibits both wave and particle nature. Its motion is described by a wave function that has a wavelength and satisfies a wave function. Equation (I) shows that electron have dual nature.

Conclusion:

Therefore, the given statement motion of the electron is described by a wave function that has a wavelength and satisfies a wave equation is true.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 28, Problem 1OQ

(a)

To determine

Whether the statement is true or not for an electron.

(a)

Expert Solution

Answer to Problem 1OQ

True.

Explanation of Solution

In 1905 it was Einstein who suggested the concept of light having a wave particle duality. In a similar way Louise de Broglie suggested that electron also exhibits a dual nature.

Broglie derived a mathematical expression to prove the wave nature of electron along with the particle nature by the given expression,

λ=hmv (I)

Here, λ is the wavelength, h is the Planck’s constant, m is the mass, v is the velocity.

Conclusion:

Therefore, the given statement is true for electron.

(b)

To determine

Whether the rest energy is zero.

(b)

Expert Solution

Answer to Problem 1OQ

The statement is False.

Explanation of Solution

The expression for the rest mass energy is given by,

E0=m0c2 (II)

Here, E0 is the rest mass energy of electron, m0 is the mass of electron, c is the speed of light.

For the electron,

E0=(9.1×10−31 kg)(3×108m/s)2=0.511 MeV

Conclusion:

Therefore, the rest mass energy of the electron will not be zero, the statement is False.

(c)

To determine

Whether it carries energy in its motion.

(c)

Expert Solution

Answer to Problem 1OQ

The statement is true.

Explanation of Solution

Electrons in atoms can act as charge carriers. It carries energy in its motion. For a moving electron it will have a velocity along with the mass. For a moving particle it possess kinetic energy. Thus while moving electron also possess energy.

Conclusion:

Therefore, the statement is true.

(d)

To determine

Whether the electron carries momentum in its motion.

(d)

Expert Solution

Answer to Problem 1OQ

The given statement is true.

Explanation of Solution

Write the expression for the momentum of a particle.

p=mv

Here, p is the momentum and v is the speed.

Electron possess a mass along with velocity in a motion. Thus electron will have momentum.

Conclusion:

Therefore, electron carries momentum in its motion so the given statement is true.

(e)

To determine

Whether the motion of the electron is described by a wave function that has a wavelength and satisfies a wave equation.

(e)

Expert Solution

Answer to Problem 1OQ

The given statement is true.

Explanation of Solution

Electron exhibits both wave and particle nature. Its motion is described by a wave function that has a wavelength and satisfies a wave function. Equation (I) shows that electron have dual nature.

Conclusion:

Therefore, the given statement motion of the electron is described by a wave function that has a wavelength and satisfies a wave equation is true.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 28, Problem 1OQ

(a)

To determine

Whether the statement is true or not for an electron.

(a)

Expert Solution

Answer to Problem 1OQ

True.

Explanation of Solution

In 1905 it was Einstein who suggested the concept of light having a wave particle duality. In a similar way Louise de Broglie suggested that electron also exhibits a dual nature.

Broglie derived a mathematical expression to prove the wave nature of electron along with the particle nature by the given expression,

λ=hmv (I)

Here, λ is the wavelength, h is the Planck’s constant, m is the mass, v is the velocity.

Conclusion:

Therefore, the given statement is true for electron.

(b)

To determine

Whether the rest energy is zero.

(b)

Expert Solution

Answer to Problem 1OQ

The statement is False.

Explanation of Solution

The expression for the rest mass energy is given by,

E0=m0c2 (II)

Here, E0 is the rest mass energy of electron, m0 is the mass of electron, c is the speed of light.

For the electron,

E0=(9.1×10−31 kg)(3×108m/s)2=0.511 MeV

Conclusion:

Therefore, the rest mass energy of the electron will not be zero, the statement is False.

(c)

To determine

Whether it carries energy in its motion.

(c)

Expert Solution

Answer to Problem 1OQ

The statement is true.

Explanation of Solution

Electrons in atoms can act as charge carriers. It carries energy in its motion. For a moving electron it will have a velocity along with the mass. For a moving particle it possess kinetic energy. Thus while moving electron also possess energy.

Conclusion:

Therefore, the statement is true.

(d)

To determine

Whether the electron carries momentum in its motion.

(d)

Expert Solution

Answer to Problem 1OQ

The given statement is true.

Explanation of Solution

Write the expression for the momentum of a particle.

p=mv

Here, p is the momentum and v is the speed.

Electron possess a mass along with velocity in a motion. Thus electron will have momentum.

Conclusion:

Therefore, electron carries momentum in its motion so the given statement is true.

(e)

To determine

Whether the motion of the electron is described by a wave function that has a wavelength and satisfies a wave equation.

(e)

Expert Solution

Answer to Problem 1OQ

The given statement is true.

Explanation of Solution

Electron exhibits both wave and particle nature. Its motion is described by a wave function that has a wavelength and satisfies a wave function. Equation (I) shows that electron have dual nature.

Conclusion:

Therefore, the given statement motion of the electron is described by a wave function that has a wavelength and satisfies a wave equation is true.

Answer 6

Chapter 28, Problem 1OQ

(a)

To determine

Whether the statement is true or not for an electron.

(a)

Expert Solution

Answer to Problem 1OQ

True.

Explanation of Solution

In 1905 it was Einstein who suggested the concept of light having a wave particle duality. In a similar way Louise de Broglie suggested that electron also exhibits a dual nature.

Broglie derived a mathematical expression to prove the wave nature of electron along with the particle nature by the given expression,

λ=hmv (I)

Here, λ is the wavelength, h is the Planck’s constant, m is the mass, v is the velocity.

Conclusion:

Therefore, the given statement is true for electron.

Answer 7

Chapter 28, Problem 1OQ

(a)

To determine

Whether the statement is true or not for an electron.

Answer 8

(a)

Expert Solution

Answer to Problem 1OQ

True.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

In 1905 it was Einstein who suggested the concept of light having a wave particle duality. In a similar way Louise de Broglie suggested that electron also exhibits a dual nature.

Broglie derived a mathematical expression to prove the wave nature of electron along with the particle nature by the given expression,

λ=hmv (I)

Here, λ is the wavelength, h is the Planck’s constant, m is the mass, v is the velocity.

Conclusion:

Therefore, the given statement is true for electron.

Answer 13

(b)

To determine

Whether the rest energy is zero.

(b)

Expert Solution

Answer to Problem 1OQ

The statement is False.

Explanation of Solution

The expression for the rest mass energy is given by,

E0=m0c2 (II)

Here, E0 is the rest mass energy of electron, m0 is the mass of electron, c is the speed of light.

For the electron,

E0=(9.1×10−31 kg)(3×108m/s)2=0.511 MeV

Conclusion:

Therefore, the rest mass energy of the electron will not be zero, the statement is False.

Answer 14

(b)

To determine

Whether the rest energy is zero.

Answer 15

(b)

Expert Solution

Answer to Problem 1OQ

The statement is False.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

The expression for the rest mass energy is given by,

E0=m0c2 (II)

Here, E0 is the rest mass energy of electron, m0 is the mass of electron, c is the speed of light.

For the electron,

E0=(9.1×10−31 kg)(3×108m/s)2=0.511 MeV

Conclusion:

Therefore, the rest mass energy of the electron will not be zero, the statement is False.

Answer 20

(c)

To determine

Whether it carries energy in its motion.

(c)

Expert Solution

Answer to Problem 1OQ

The statement is true.

Explanation of Solution

Electrons in atoms can act as charge carriers. It carries energy in its motion. For a moving electron it will have a velocity along with the mass. For a moving particle it possess kinetic energy. Thus while moving electron also possess energy.

Conclusion:

Therefore, the statement is true.

Answer 21

(c)

To determine

Whether it carries energy in its motion.

Answer 22

(c)

Expert Solution

Answer to Problem 1OQ

The statement is true.

Answer 23

(c)

Expert Solution

Answer 24

(c)

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

Electrons in atoms can act as charge carriers. It carries energy in its motion. For a moving electron it will have a velocity along with the mass. For a moving particle it possess kinetic energy. Thus while moving electron also possess energy.

Conclusion:

Therefore, the statement is true.

Answer 27

(d)

To determine

Whether the electron carries momentum in its motion.

(d)

Expert Solution

Answer to Problem 1OQ

The given statement is true.

Explanation of Solution

Write the expression for the momentum of a particle.

p=mv

Here, p is the momentum and v is the speed.

Electron possess a mass along with velocity in a motion. Thus electron will have momentum.

Conclusion:

Therefore, electron carries momentum in its motion so the given statement is true.

Answer 28

(d)

To determine

Whether the electron carries momentum in its motion.

Answer 29

(d)

Expert Solution

Answer to Problem 1OQ

The given statement is true.

Answer 30

(d)

Expert Solution

Answer 31

(d)

Expert Solution

Answer 32

Expert Solution

Answer 33

Explanation of Solution

Write the expression for the momentum of a particle.

p=mv

Here, p is the momentum and v is the speed.

Electron possess a mass along with velocity in a motion. Thus electron will have momentum.

Conclusion:

Therefore, electron carries momentum in its motion so the given statement is true.

Answer 34

(e)

To determine

Whether the motion of the electron is described by a wave function that has a wavelength and satisfies a wave equation.

(e)

Expert Solution

Answer to Problem 1OQ

The given statement is true.

Explanation of Solution

Electron exhibits both wave and particle nature. Its motion is described by a wave function that has a wavelength and satisfies a wave function. Equation (I) shows that electron have dual nature.

Conclusion:

Therefore, the given statement motion of the electron is described by a wave function that has a wavelength and satisfies a wave equation is true.

Answer 35

(e)

To determine

Whether the motion of the electron is described by a wave function that has a wavelength and satisfies a wave equation.

Answer 36

(e)

Expert Solution

Answer to Problem 1OQ

The given statement is true.

Answer 37

(e)

Expert Solution

Answer 38

(e)

Expert Solution

Answer 39

Expert Solution

Answer 40

Explanation of Solution

Electron exhibits both wave and particle nature. Its motion is described by a wave function that has a wavelength and satisfies a wave function. Equation (I) shows that electron have dual nature.

Conclusion:

Therefore, the given statement motion of the electron is described by a wave function that has a wavelength and satisfies a wave equation is true.