Exam 38: Quantization

A nonrelativistic electron and a nonrelativistic proton have the same de Broglie wavelength.Which of the following statements about these particles are accurate? (There may be more than one correct choice.)

Monochromatic light strikes a metal surface and electrons are ejected from the metal.If the intensity of the light is increased,what will happen to the ejection rate and maximum energy of the electrons?

When a metal surface is illuminated with light of wavelength 437 nm,the stopping potential for photoelectrons is 1.67 V.(c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s,e = -1.60 × 10^-19 C, 1 eV = 1.60 × 10^-19 J,m_el = 9.11 × 10^-31 kg) (a)What is the work function of the metal,in eV? (b)What is the maximum speed of the ejected electrons?

X-rays of energy 2.9 × 10⁴ eV are scattered by a free stationary electron through an angle of 135°.What is the energy of the scattered X-rays,in electron volts? (m_el = 9.11 × 10^-31 kg, e = - 1.60 × 10^-19 C,h = 6.626 × 10^-34 J ∙ s,c = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10^-19 J)

The energy of the ground state in the Bohr model of the hydrogen atom is -13.6 eV.In a transition from the n = 2 state to the n = 4 state,a photon of energy

A photon of wavelength 18.0 pm is scattered through an angle of 120° by a stationary electron.What is the wavelength of the scattered photon? (m_el = 9.11 × 10^-31 kg, h = 6.626 × 10^-34 J ∙ s,c = 3.00 × 10⁸ m/s)

The energy of the ground state in the Bohr model of the hydrogen atom is -13.6 eV.The energy of the n = 2 state of hydrogen in this model is closest to

A light beam from a 2.1-mW He-Ne laser has a wavelength of 633 nm.How many photons does the laser emit in one second? (h = 6.626 × 10^-34 J ∙ s,c = 3.00 × 10⁸ m/s)

Light excites atomic hydrogen from its lowest level to the n = 4 level.What is the energy of the light? The energy of the lowest level is -13.6 eV.

A metal surface has a work function of 1.50 eV.Calculate the maximum kinetic energy,in eV,of electrons ejected from this surface by electromagnetic radiation of wavelength 311 nm. (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s,e = -1.60 × 10^-19 C,1 eV = 1.60 × 10^-19 J)

In a particular case of Compton scattering,a photon collides with a free electron and scatters backwards.The wavelength after the collision is exactly double the wavelength before the collision.What is the wavelength of the incident photon? (m_el = 9.11 × 10^-31 kg, h = 6.626 × 10^-34 J ∙ s,c = 3.00 × 10⁸ m/s)

Light of wavelength 105 nm falls on a metal surface for which the work function is 5.00 eV.What is the minimum de Broglie wavelength of the photoelectrons emitted from this metal? (h = 6.626 × 10^-34 J ∙ s = 4.14 × 10^-15 eV ∙ s,c = 3.00 × 10⁸ m/s,m_el = 9.11 × 10^-31 kg, 1 eV = 1.60 × 10^-19 J)

A photon of initial wavelength 0.651 nm,after being scattered from a free electron at rest,moves off at an angle of 120° with respect to its incident direction.(m_el = 9.11 × 10^-31 kg, h = 6.626 × 10^-34 J ∙ s,c = 3.00 × 10⁸ m/s) (a)What is the wavelength of the scattered photon? (b)What is the energy of the scattered photon?

A nonrelativistic electron is accelerated from rest through a potential difference.After acceleration the electron has a de Broglie wavelength of 880 nm.What is the potential difference though which this electron was accelerated? (h = 6.626 × 10^-34 J ∙ s,e = -1.60 × 10^-19 C, m_el = 9.11 × 10^-31 kg)

A laser emits light of wavelength 463 nm during a brief pulse that lasts for 25 ms and has a total energy of 1.2 J.How many photons are emitted in that single pulse? (c = 3.00 × 10⁸ m/s, h = 6.626 × 10^-34 J ∙ s)

Calculate the kinetic energy (in eV)of a nonrelativistic neutron that has a de Broglie wavelength of (h = 6.626 × 10^-34 J ∙ s,m_neutron = 1.675 × 10^-27 kg, 1 eV = 1.60 × 10^-19 J)

In a photoelectric effect experiment,electrons emerge from a copper surface with a maximum kinetic energy of 1.10 eV when light shines on the surface.The work function of copper is 4.65 eV.Which one of the following values is closest to the wavelength of the light? (h = 6.626 × 10^-34 J ∙ s,c = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10^-19 J)

A photon of wavelength 29 pm is scattered by a stationary electron.What is the maximum possible energy loss of the photon? (m_el = 9.11 × 10^-31 kg,h = 6.626 × 10^-34 J ∙ s, c = 3.00 × 10⁸ m/s)

What is the frequency of the light emitted by atomic hydrogen with m = 8 and n = 12? (The Rydberg constant is R = 1.097 × 10⁷ m^-1, ^c = 3.00 × 10⁸ m/s.)

An 84-kW AM radio station broadcasts at 1000 kHz.How many photons are emitted each second by the transmitting antenna? (h = 6.626 × 10^-34 J ∙ s)