Exam 34: Wave Particle Duality and Quantum Physics

Photons of wavelength 0.00150 nm undergo Compton collisions with free electrons.What is the energy of the scattered photons whose angle of scattering is 60º?

Use the following figure for the next problem. -An electron that is not localized in space is described by the wave function $\varPsi$ = A sin(kx - $\omega$ t).The kinetic energy of the electron is 10 keV.The value of k is approximately

Which of the following statements is/are true?

An electron is in a one-dimensional box of length 0.5 nm.The ground-state energy of this electron is

Suppose that the world could be changed so that the de Broglie wavelength of a 40-kg runner who goes 100 m in 10.0 s was 5 m.Assuming that all other constants remain the same,the value of Planck's constant would have to be

Light of wavelength 400 nm is incident on a certain metal.The stopping potential for the emitted electrons is measured to be 1.2 V.What is the work function of this metal? (Planck's constant h = 6.626 $\times$ 10^-34 J · s = 4.136 $\times$ 10^-15 eV s.)

The wavelength of an electron is 1.33 nm.Its kinetic energy is approximately

The wavelength of blue light is closest to

Suppose that a 40-kg runner in an imaginary world in which Planck's constant has the value 100 J · s must be located at the finish line to an accuracy of ± 0.33 m to be sure that it won the race.What would be the minimal uncertainty in its speed in that world?

Which of the following does not require the quantum theory of light for its explanation?

The momentum of a 20-MeV electron is approximately

If the work function of thoriated tungsten is 4 $\times$ 10^-19 J,the longest wavelength of light that will cause photoelectrons to be emitted is approximately

The wave function for sound waves is

Use the following equation statement to answer the question. The normalized wave functions for the infinite square-well potential are You may find it useful to use -The expectation value <x> for a particle in its second excited (n = 3)state in a box of length L is

The velocity of escape of photoelectrons

The maximum wavelength for the photoemission of electrons from a metal surface depends on

The wave function for electromagnetic waves is

An electron is confined to a region of space of length L = 0.2 nm.The minimum uncertainty in its momentum is approximately

Calculate the photon energy for light of wavelength 600 nm.(Planck's constant h = 6.626 $\times$ 10^-34 J·s)

A particle is in the ground state of an infinite square-well potential.The probability of finding the particle in $\Delta$ x = 0.01L at x = L/4 is