What is wave-particle duality?

State the de Broglie wavelength relation.

State the photon momentum relation.

State the photon energy relation.

A photon has wavelength \(500\,\mathrm{nm}\). Find its momentum using \(h=6.63\times10^{-34}\,\mathrm{J\,s}\).

An electron has momentum \(8.0\times10^{-25}\,\mathrm{kg\,m\,s^{-1}}\). Find its de Broglie wavelength.

If a particle's momentum doubles, what happens to its de Broglie wavelength?

What kind of experiment demonstrates the wave behavior of electrons?

What kind of experiment demonstrates the particle behavior of light?

An electron has non-relativistic kinetic energy \(2.0\,\mathrm{eV}\). Which relation can be used to find its momentum before using \(\lambda=h/p\)?

Find the de Broglie wavelength of an electron with \(K=2.0\,\mathrm{eV}\). Use \(m_e=9.11\times10^{-31}\,\mathrm{kg}\), \(h=6.63\times10^{-34}\,\mathrm{J\,s}\), and \(1\,\mathrm{eV}=1.60\times10^{-19}\,\mathrm{J}\).

Why is the wave nature of everyday objects not usually noticeable?

A baseball has momentum \(0.15\,\mathrm{kg\,m\,s^{-1}}\). Estimate its de Broglie wavelength.

How can single-particle interference build up over time?

Why does obtaining which-path information destroy a two-path interference pattern?

Explain why wave-particle duality is not the statement that an electron is a tiny classical ball plus a classical water wave.

A photon and an electron have the same wavelength. Which has larger momentum?

A photon and an electron have the same momentum magnitude. Which has the same wavelength?

Why does diffraction become more visible when particle momentum is small?

Use \(p=h/\lambda\) and \(E=pc\) to derive \(E=hf\) for a photon.