Exam 34: Wave Particle Duality and Quantum Physics

An alpha particle (mass = 4 amu)is moving twice as fast as a proton (mass = 1 amu).Calculate the de Broglie wavelength of the proton divided by the de Broglie wavelength of the alpha particle.

A mass of 0.500 kg is oscillating with small amplitude oscillations on the end of a spring whose stiffness constant is 5 N/m.When this oscillator makes a transition from its n = 3 state to its n = 2 state,the energy of the photon emitted is

A proton is in a one-dimensional box of length 2 $\times$ 10^-15 m.Find the wavelength of the photon emitted for a transition between the first excited state and the ground-state.

The wave-particle duality theory is the first adequate explanation of which one of the following observations about the hydrogen atom?

A gamma-ray photon of energy 100 keV scatters off an electron at an angle perpendicular to its original direction.Calculate the de Broglie wavelength of the recoiling electron.

Calculate the photon energy for light of wavelength 500 nm.(Planck's constant h = 6.626 $\times$ 10^-34 J·s)

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 the ground state of an infinite square-well potential is

The electron microscope is a welcome addition to the field of microscopy because electrons have a __________ wavelength than light,thereby increasing the __________ of the microscope.

Use the following figure to answer question. -The graphs show $\varPsi$ ² as a function of x for a particle in a one-dimensional box of length L.The graph that represents the ground state is

What is the shift in wavelength of a photon scattered off an electron at 160º?

An electron in the hydrogen atom (ground-state energy = -13.6 eV)makes a transition from the n = 3 to the n = 1 energy level.Calculate the magnitude of the energy of the photon involved in this process and state whether the photon was absorbed or emitted.

The wave function for electron waves is

The wave function of a single electron $\varPsi$ tells us

The wave function for a particle between x = -4 cm and 4 cm is given by where L = 8 cm.Outside this range,the wave function is equal to zero.The probability of finding the particle between x = -2 cm and 2 cm is

An electron is in a one-dimensional box of length 0.5 nm.The wavelength of the photon emitted as the electron transitions from its first excited state to its ground state 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 the excited (n = 2)state of an infinite square-well potential is

The visible portion of the electromagnetic spectrum extends from

Microwaves range in wavelength from about 2.0 $\times$ 10^-2 cm to about 5.0 cm.What is the maximum energy in eV that a microwave may have?

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 45º?

In Young's experiment,