Question 1

Consider the following three particles:  Rank them according to the wavelengths of their waves, least to greatest.

Accepted Answer

The answer of Consider the following three particles:  Rank...

Question 2

Monoenergetic electrons are incident on a single slit barrier. If the energy of each incident electron is increased the central maximum of the diffraction pattern:

Accepted Answer

The width of the central maximum is inversely proportional to the width of the slit and directly proportional to the wavelength of the incident electrons. Since the electrons are monoenergetic, increasing their energy will decrease their wavelength, effectively making the slit appear narrower. Therefore, the central maximum will narrow as the energy of the incident electrons increases.

Question 3

In Compton scattering from stationary electrons the frequency of the emitted light is independent of:

Accepted Answer

In Compton scattering, the frequency of the emitted light depends on the frequency of the incident light, the scattering angle, and indirectly on the recoil speed and energy of the electron, as these factors are related to the change in wavelength (and thus frequency) of the scattered photon. Therefore, none of the given options are correct; the frequency of the emitted light is not independent of any of the listed factors.

Question 4

A free electron has a momentum of 5.0 *10^-²⁴kg. m/s. The wavelength of its wave function is:

Accepted Answer

The wavelength of a particle is given by the de Broglie wavelength formula: λ = h/p, where h is Planck's constant (6.626 x 10^-34 m^2 kg/s) and p is the momentum. Substituting the given momentum into the formula gives λ ≈ 1.3 x 10^-10 m.

Question 5

A non-relativistic free electron has kinetic energy K. If its wavelength doubles, its kinetic energy is:

Accepted Answer

The wavelength of a particle is inversely proportional to its momentum (de Broglie wavelength). If the wavelength doubles, the momentum is halved. Since kinetic energy is proportional to the square of momentum, the kinetic energy becomes one-fourth, or K/4.

Question 6

Electromagnetic radiation with a wavelength of 3.5 * 10^-¹² m is scattered from stationary electrons and photons that have been scattered through 50$\degree$ are detected. An electron from which one of these photons was scattered receives an energy of:

Accepted Answer

The answer of Electromagnetic radiation with a wavelength of 3.5...

Question 7

In Compton scattering from stationary electrons the largest change in wavelength occurs when the photon is scattered through:

Accepted Answer

In Compton scattering, the largest change in wavelength occurs when the photon is scattered through an angle of 180 degrees. This is because the photon transfers the maximum amount of energy to the electron in this scenario, resulting in the largest shift in wavelength.

Question 8

Of the following which is the best evidence for the wave nature of matter?

Accepted Answer

The reflection of electrons by crystals, also known as electron diffraction, is the most direct evidence for the wave nature of matter. It demonstrates the ability of electrons to diffract like waves and interfere with each other to produce diffraction patterns, similar to the interference pattern of light waves.

Question 9

Which of the following is NOT evidence for the wave nature of matter?

Accepted Answer

The photoelectric effect is evidence for the particle nature of light, not the wave nature of matter. It demonstrates how photons (particles of light) can eject electrons from a metal surface, which supports the particle theory of light rather than the wave theory of matter.

Question 10

Consider the following three particles:  Rank them according to the wavlengths of their matter waves, least to greatest.

Accepted Answer

The answer of Consider the following three particles:  Rank...

Question 11

Of the following, Compton scattering from electrons is most easily observed for:

Accepted Answer

Compton scattering is the inelastic scattering of a photon by a charged particle, usually an electron. It is observed most easily with x-rays because the energy of the x-rays is high enough to allow for the scattering to occur. Microwaves, infrared light, visible light, and ultraviolet light have energies that are too low to produce significant Compton scattering.

Question 12

Evidence for the wave nature of matter is:

Accepted Answer

The wave nature of matter is evidenced by electron diffraction experiments, such as those conducted by Davisson and Germer, which demonstrated that electrons can exhibit wave-like behavior.

Question 13

The frequency and wavelength of the matter wave associated with a 10-eV free electron are:

Accepted Answer

The answer of The frequency and wavelength of the matter...

Question 14

If the kinetic energy of a non-relativistic free electron doubles, the frequency of its wave function changes by the factor:

Accepted Answer

The answer of If the kinetic energy of a non-relativistic...

Question 15

In Compton scattering from stationary electrons the largest change in wavelength that can occur is:

Accepted Answer

The maximum change in wavelength in Compton scattering is given by the formula Δλ = (h/mec)(1-cosθ), where h is Planck's constant, me is the electron mass, c is the speed of light, and θ is the scattering angle. When the electron is stationary (i.e. θ = 180°), the formula simplifies to Δλmax = (h/mec)(1+cosθmax) = 2(h/mec) = 2.43×10⁻¹² m. Choice B is the closest option to this value. Choices A and C are too far off, and choices D and E are irrelevant to the question.

Question 16

J. J. Thompson's measurement of e/m for electrons provides evidence of the:

Accepted Answer

J.J. Thompson's measurement of e/m for electrons provided evidence of the particle nature of matter, specifically that electrons behave like particles with a definite mass and charge.

Question 17

A free electron and a free proton have the same kinetic energy. This means that, compared to the matter wave associated with the proton, the matter wave associated with the electron has:

Accepted Answer

The wavelength of a matter wave is inversely proportional to the momentum of the particle associated with it. Since both the electron and the proton have the same kinetic energy, their momentum will be equal in magnitude (since momentum is proportional to the square root of kinetic energy). However, the proton has a much larger mass than the electron, so its momentum will be much smaller. This means that the matter wave associated with the proton will have a much longer wavelength than the matter wave associated with the electron. Since frequency is directly proportional to momentum (and inversely proportional to wavelength), the matter wave associated with the electron will have a greater frequency than the matter wave associated with the proton. Therefore, choice D is correct.

Question 18

Electromagnetic radiation with a wavelength of 3.5 * 10^-¹² m is scattered from stationary electrons and photons that have been scattered through 50$\degree$ are detected. After a scattering event the magnitude of the electron's momentum is:

Accepted Answer

The answer of Electromagnetic radiation with a wavelength of 3.5...

Question 19

Electromagnetic radiation with a wavelength of 5.7 * 10^-¹² m is incident on stationary electrons. Radiation that has a wavelength of 6.577 * 10^-¹² m is detected at a scattering angle of :

Accepted Answer

The wavelength of the incident radiation is shorter than the wavelength of the detected radiation, indicating that the electrons were scattered at an angle greater than 90 degrees. Using the equation for the Compton scattering angle, we get:

θ = cos⁻¹ [1 + (λ₂/λ₁)*(1-cosθ)]

where θ is the scattering angle, λ₁ is the wavelength of the incident radiation, and λ₂ is the wavelength of the detected radiation.

Plugging in the values given, we get:

θ = cos⁻¹ [1 + (6.577x10⁻¹⁰/5.7x10⁻¹⁰)*(1-cosθ)]

Solving this equation for θ, we get:

θ = 50.1 degrees

Therefore, the best choice is D, 50 degrees.

Question 20

Consider the following:  The only possible processes are:

Accepted Answer

The format seems to be a combination of two codes. The first code "11eaafb7_ffde_aafe_a7a5_47fdddde1603" appears to be a unique identifier, while the second code "TB3150_00" could possibly represent a product model number. Therefore, the only relevant process would be to add this identification code to a product database, which would fall under Process I (data entry) and Process IV (database management). Therefore, the best choice is D) I and IV.

Quiz 38: Photons and Matter Waves

Consider the following three particles: Rank them according to the wavelengths of their waves, least to greatest.

Monoenergetic electrons are incident on a single slit barrier. If the energy of each incident electron is increased the central maximum of the diffraction pattern:

In Compton scattering from stationary electrons the frequency of the emitted light is independent of:

A free electron has a momentum of 5.0 *10^-²⁴kg. m/s. The wavelength of its wave function is:

A non-relativistic free electron has kinetic energy K. If its wavelength doubles, its kinetic energy is:

Electromagnetic radiation with a wavelength of 3.5 * 10^-¹² m is scattered from stationary electrons and photons that have been scattered through 50 $\degree$ are detected. An electron from which one of these photons was scattered receives an energy of:

In Compton scattering from stationary electrons the largest change in wavelength occurs when the photon is scattered through:

Of the following which is the best evidence for the wave nature of matter?

Which of the following is NOT evidence for the wave nature of matter?

Consider the following three particles: Rank them according to the wavlengths of their matter waves, least to greatest.

Of the following, Compton scattering from electrons is most easily observed for:

Evidence for the wave nature of matter is:

The frequency and wavelength of the matter wave associated with a 10-eV free electron are:

If the kinetic energy of a non-relativistic free electron doubles, the frequency of its wave function changes by the factor:

In Compton scattering from stationary electrons the largest change in wavelength that can occur is:

J. J. Thompson's measurement of e/m for electrons provides evidence of the:

A free electron and a free proton have the same kinetic energy. This means that, compared to the matter wave associated with the proton, the matter wave associated with the electron has:

Electromagnetic radiation with a wavelength of 3.5 * 10^-¹² m is scattered from stationary electrons and photons that have been scattered through 50 $\degree$ are detected. After a scattering event the magnitude of the electron's momentum is:

Electromagnetic radiation with a wavelength of 5.7 * 10^-¹² m is incident on stationary electrons. Radiation that has a wavelength of 6.577 * 10^-¹² m is detected at a scattering angle of :

Consider the following: The only possible processes are:

Quiz 38: Photons and Matter Waves

Consider the following three particles: Rank them according to the wavelengths of their waves, least to greatest.

Monoenergetic electrons are incident on a single slit barrier. If the energy of each incident electron is increased the central maximum of the diffraction pattern:

In Compton scattering from stationary electrons the frequency of the emitted light is independent of:

A free electron has a momentum of 5.0 *10-24kg. m/s. The wavelength of its wave function is:

A non-relativistic free electron has kinetic energy K. If its wavelength doubles, its kinetic energy is:

Electromagnetic radiation with a wavelength of 3.5 * 10-12 m is scattered from stationary electrons and photons that have been scattered through 50 °\degree° are detected. An electron from which one of these photons was scattered receives an energy of:

In Compton scattering from stationary electrons the largest change in wavelength occurs when the photon is scattered through:

Of the following which is the best evidence for the wave nature of matter?

Which of the following is NOT evidence for the wave nature of matter?

Consider the following three particles: Rank them according to the wavlengths of their matter waves, least to greatest.

Of the following, Compton scattering from electrons is most easily observed for:

Evidence for the wave nature of matter is:

The frequency and wavelength of the matter wave associated with a 10-eV free electron are:

If the kinetic energy of a non-relativistic free electron doubles, the frequency of its wave function changes by the factor:

In Compton scattering from stationary electrons the largest change in wavelength that can occur is:

J. J. Thompson's measurement of e/m for electrons provides evidence of the:

A free electron and a free proton have the same kinetic energy. This means that, compared to the matter wave associated with the proton, the matter wave associated with the electron has:

Electromagnetic radiation with a wavelength of 3.5 * 10-12 m is scattered from stationary electrons and photons that have been scattered through 50 °\degree° are detected. After a scattering event the magnitude of the electron's momentum is:

Electromagnetic radiation with a wavelength of 5.7 * 10-12 m is incident on stationary electrons. Radiation that has a wavelength of 6.577 * 10-12 m is detected at a scattering angle of :

Consider the following: The only possible processes are:

A free electron has a momentum of 5.0 *10^-²⁴kg. m/s. The wavelength of its wave function is:

Electromagnetic radiation with a wavelength of 3.5 * 10^-¹² m is scattered from stationary electrons and photons that have been scattered through 50 $\degree$ are detected. An electron from which one of these photons was scattered receives an energy of:

Electromagnetic radiation with a wavelength of 3.5 * 10^-¹² m is scattered from stationary electrons and photons that have been scattered through 50 $\degree$ are detected. After a scattering event the magnitude of the electron's momentum is:

Electromagnetic radiation with a wavelength of 5.7 * 10^-¹² m is incident on stationary electrons. Radiation that has a wavelength of 6.577 * 10^-¹² m is detected at a scattering angle of :