K A Tsokos Solutions for Chapter: Quantum and Nuclear Physics (HL), Exercise 3: Exam-style questions

State one feature of the photoelectric effect that cannot be explained by the wave theory of light.

Describe how the feature of the photoelectric effect that cannot be explained by the wave theory of light is explained by the photon theory of light.

Outline what is meant by the de Broglie hypothesis.

Show that the de Broglie wavelength of an electron that has been accelerated from rest by a potential difference $V$ is given by $\lambda =\frac{h}{\sqrt{2 m q V}}$

Calculate the de Broglie wavelength of an electron that has been accelerated from rest by a potential difference of $120 \mathrm{V}$.

Outline an experiment in which the de Broglie hypothesis is tested.

A bullet of mass $0.080 \mathrm{kg}$ leaves a gun with speed $420 \mathrm{m} {\mathrm{s}}^{–1}$. The gun is in perfect condition and has been fired by an expert marksman. The bullet must pass through a circular hole of diameter $5.0 \mathrm{cm}$ on its way to its target. A student says that the bullet will miss its mark because of de Broglie’s hypothesis. By suitable calculations determine whether the student is correct.

State what is meant by tunnelling.