DP Physics Questionbank
Topic 12: Quantum and nuclear physics
Description
Overview of the essential ideas for this topic.
12.1: The microscopic quantum world offers a range of phenomena, the interpretation and explanation of which require new ideas and concepts not found in the classical world.
12.2: The idea of discreteness that we met in the atomic world continues to exist in the nuclear world as well.
Directly related questions
- 18M.2.HL.TZ2.9d.iii: Calculate the wavelength of the gamma ray photon in (d)(ii).
- 18M.2.HL.TZ2.9d.i: Explain what may be deduced about the energy of the electron in the β– decay.
- 18M.2.HL.TZ2.9c.iii: Calculate the electron’s orbital radius in (c)(ii).
- 18M.2.HL.TZ2.9c.ii: Using the answer in (b) and (c)(i), deduce that the radius r of the electron’s orbit in the...
- 18M.2.HL.TZ2.9b: Bohr modified the Rutherford model by introducing the condition mvr = n\(\frac{h}{{2\pi...
- 18M.1.HL.TZ2.40: Two samples X and Y of different radioactive isotopes have the same initial activity. Sample X...
- 18M.1.HL.TZ2.39: An electron of initial energy E tunnels through a potential barrier. What is the energy of...
- 18M.1.HL.TZ2.38: Which of the following is evidence for the wave nature of the electron? A. Continuous energy...
- 18M.1.HL.TZ2.37: A photoelectric cell is connected in series with a battery of emf 2 V. Photons of energy 6 eV are...
- 18M.2.HL.TZ1.8b.iii: The variable voltage can be adjusted so that no electrons reach the collecting plate. Write down...
- 18M.2.HL.TZ1.8b.ii: Suggest, with reference to conservation of energy, how the variable voltage source can be used to...
- 18M.2.HL.TZ1.8b.i: Calculate, in J, the maximum kinetic energy of the emitted electrons.
- 18M.2.HL.TZ1.8a: Show that the energy of photons from the UV lamp is about 10 eV.
- 18M.2.HL.TZ1.6b.iii: Beryllium-10 is used to investigate ice samples from Antarctica. A sample of ice initially...
- 18M.1.HL.TZ1.40: Alpha particles with energy E are directed at nuclei with atomic number Z. Small deviations from...
- 18M.1.HL.TZ1.39: A particle of fixed energy is close to a potential barrier. Which changes to the width of the...
- 18M.1.HL.TZ1.38: According to the Bohr model for hydrogen, visible light is emitted when electrons make...
- 18M.1.HL.TZ1.37: Two radioactive nuclides, X and Y, have half-lives of 50 s and 100 s respectively. At time t = 0...
- 17N.2.HL.TZ0.3d.iii: Draw a line on the graph, to show the variation of nuclear radius with nucleon number.
- 17N.2.HL.TZ0.3d.ii: Plot the position of magnesium-24 on the graph.
- 17N.2.HL.TZ0.3b.ii: Outline why the particles must be accelerated to high energies in scattering experiments.
- 17N.2.HL.TZ0.3b.i: Outline how these experiments are carried out.
- 17N.1.HL.TZ0.40: A photon interacts with a nearby nucleus to produce an electron. What is the name of this...
- 17N.1.HL.TZ0.39: Monochromatic electromagnetic radiation is incident on a metal surface. The kinetic energy of...
- 17N.1.HL.TZ0.23: Samples of different radioactive nuclides have equal numbers of nuclei. Which graph shows...
- 10N.3.SL.TZ0.B3b: (i) Calculate the decay constant of Au-189. (ii) Determine the activity of the sample...
- 10N.3.SL.TZ0.B1b: (i) Show that the maximum kinetic energy of the emitted electrons is...
- 10N.3.SL.TZ0.B1a: (i) Explain, with reference to the Einstein model of the photoelectric effect, the existence...
- 10N.3.HL.TZ0.J3c: State what is meant by deep inelastic scattering.
- 10N.3.HL.TZ0.J3b: Use the conservation of lepton number and charge to deduce the nature of the particle x in the...
- 10N.2.HL.TZ0.B1Part2.c: Electrons with the same kinetic energy as those in (b) are incident on a circular aperture of...
- 10N.2.HL.TZ0.B1Part2.b: A beam of electrons is accelerated from rest through a potential difference of 85 V. Show that...
- 09N.1.HL.TZ0.33: Which of the following is a correct statement associated with the photoelectric effect? A. ...
- 09N.1.HL.TZ0.32: A particle is accelerated from rest through a potential difference \(V\). Which of the following...
- 09N.1.HL.TZ0.31: The square of the amplitude of the electron wave function in an hydrogen atom is a measure of...
- 10M.1.HL.TZ1.30: Which of the following is an assumption of the Schrödinger model of the hydrogen atom? A. ...
- 10M.1.HL.TZ1.29: An electron is accelerated from rest through a potential difference \(V\). Which of the...
- 10M.1.HL.TZ1.28: Light of frequency \(f\) is incident on a metal surface. The work function of the metal is...
- 17M.2.HL.TZ2.7c.ii: State and explain the effect on the maximum photoelectric current as a result of increasing the...
- 17M.2.HL.TZ2.7c.i: Describe the change in the number of photons per second incident on the surface of the photocell.
- 17M.2.HL.TZ2.7b: Radiation of photon energy 5.2 x 10–19 J is now incident on the photocell. Calculate the maximum...
- 17M.2.HL.TZ2.7a.ii: Electrons emitted from the surface of the photocell have almost no kinetic energy. Explain why...
- 17M.2.HL.TZ2.7a.i: Calculate the wavelength of the light.
- 17M.2.HL.TZ2.5b.ii: Show that about 3 x 1015 alpha particles are emitted by the radium-226 in 6 days.
- 17M.2.HL.TZ2.5b.i: Deduce that the activity of the radium-226 is almost constant during the experiment.
- 17M.2.HL.TZ1.9c: The experiment is repeated with a metal surface of cadmium, which has a greater work function....
- 17M.2.HL.TZ1.9b.iii: Calculate the work function of barium in eV.
- 17M.2.HL.TZ1.9b.ii: State what is meant by the work function of a metal.
- 17M.2.HL.TZ1.9b.i: Determine a value for Planck’s constant.
- 17M.2.HL.TZ1.9a: Explain how each observation provides support for the particle theory but not the wave theory of...
- 17M.1.HL.TZ2.40: A radioactive element has decay constant \(\lambda \) (expressed in s–1). The number of nuclei of...
- 17M.1.HL.TZ2.39: A neutron of mass m is confined within a nucleus of diameter d. Ignoring numerical...
- 17M.1.HL.TZ2.38: In the Bohr model for hydrogen an electron in the ground state has orbit radius r and speed v. In...
- 17M.1.HL.TZ2.37: When monochromatic light is incident on a metallic surface, electrons are emitted from the...
- 17M.1.HL.TZ1.40: Electron capture can be represented by the equation p + e– → X + Y. What are X and Y?
- 17M.1.HL.TZ1.39: A photon of energy E and wavelength λ is scattered from an electron initially at rest. What is...
- 17M.1.HL.TZ1.38: What can be used to calculate the probability of finding an electron in a particular region of...
- 17M.1.HL.TZ1.37: The diameter of a silver-108 (\({}_{47}^{108}Ag\)) nucleus is approximately three times that of...
- 16M.2.HL.TZ0.11c: An alpha particle is confined within a nucleus of gold. Using the uncertainty principle, estimate...
- 16M.2.HL.TZ0.11b: The nucleus of \({}_{79}^{197}{\rm{Au}}\) is replaced by a nucleus of the isotope...
- 16M.2.HL.TZ0.11a: An alpha particle with initial kinetic energy 32 MeV is directed head-on at a nucleus of gold-197...
- 16N.2.HL.TZ0.11b: The graph shows the variation of photoelectric current I with potential difference V between C...
- 16N.2.HL.TZ0.11a: A current is observed on the ammeter when violet light illuminates C. With V held constant the...
- 16N.2.HL.TZ0.4d: C-14 decay is used to estimate the age of an old dead tree. The activity of C-14 in the dead tree...
- 16N.1.HL.TZ0.39: Which of the following, observed during a radioactive-decay experiment, provide evidence for the...
- 16N.1.HL.TZ0.38: An electron of mass m has an uncertainty in its position r. What is the uncertainty in the speed...
- 16N.1.HL.TZ0.37: Pair production by a photon occurs in the presence of a nucleus. For this process, which of...
- 16M.1.HL.TZ0.40: N...
- 16M.1.HL.TZ0.39: A pure...
- 16M.1.HL.TZ0.38: Different...
- 16M.1.HL.TZ0.37: Deviations from...
- 16M.1.HL.TZ0.36: The graphs show the...
- 16M.1.HL.TZ0.35: Which of the following...
- 10N.1.HL.TZ0.32: A proton and an alpha particle have the same de Broglie wavelength. Which of the following is...
- 10N.1.HL.TZ0.31: In the photoelectric effect, the following observations may be made. I. The kinetic energy...
- 10N.1.HL.TZ0.30: The radii of nuclei may be determined by A. scattering charged particles off the...
- 09M.1.HL.TZ1.32: The radii of nuclei can be estimated from experiments involving A. the scattering of charged...
- 09M.1.HL.TZ1.31: In the Schrödinger model of the hydrogen atom, the probability of finding an electron in a small...
- 09M.1.HL.TZ1.27: A beam of electrons is accelerated from rest through a potential difference \(V\). The de Broglie...
- 09M.1.HL.TZ1.26: Ultra-violet light is shone on a zinc surface and photoelectrons are emitted. The sketch graph...
- 14M.3.SL.TZ2.6c: Strontium-90 is a radioactive isotope with a half-life of 28 years. Calculate the time taken for...
- 14M.3.SL.TZ2.6b: Show that the decay constant \(\lambda \) is related to the half-life \({T_{\frac{1}{2}}}\) by...
- 14M.3.SL.TZ2.6a: Define the decay constant of a radioactive isotope.
- 14M.3.SL.TZ2.4b: (i) Calculate the kinetic energy of the particle. (ii) Determine the de Broglie...
- 14M.3.SL.TZ2.4a: Describe what is meant by the de Broglie hypothesis.
- 14M.2.HL.TZ2.8f: An exact determination of the location of the electron in a hydrogen atom is not possible....
- 14M.2.HL.TZ2.8d: (i) Suggest why the work function for caesium is smaller than that of mercury. (ii) ...
- 14M.2.HL.TZ2.8c: State what is meant by the photoelectric effect.
- 14N.3.SL.TZ0.7b.iv: Calculate the number of nuclei of carbon-11 that will produce an activity of...
- 14N.3.SL.TZ0.7b.iii: Derive the relationship between the half-life \({T_{\frac{1}{2}}}\) and the decay constant...
- 14N.3.SL.TZ0.7b.ii: State the law of radioactive decay.
- 14N.3.SL.TZ0.7b.i: Outline a method for measuring the half-life of an isotope, such as the half-life of carbon-11.
- 14N.3.SL.TZ0.5b.ii: The electron detector recorded a large number of electrons at a particular scattering angle...
- 14N.3.SL.TZ0.5b.i: The electrons were accelerated through a potential difference of 54 V. Show that the associated...
- 14N.3.SL.TZ0.5a: Describe wave-particle duality in relation to the de Broglie hypothesis.
- 14N.2.HL.TZ0.9f: The student repeats the experiment with a different metal surface that has a smaller value for...
- 14N.2.HL.TZ0.9e.iii: calculate the work function, in eV, for the metal surface.
- 14N.2.HL.TZ0.9e.ii: determine the Planck constant.
- 14N.2.HL.TZ0.9e.i: identify the minimum value of the frequency \({f_0}\) for photoelectrons to be emitted.
- 14N.2.HL.TZ0.9d: Explain why photoelectrons are not emitted from the metal surface unless the frequency of...
- 15N.3.SL.TZ0.7c.i: State what is meant by half-life.
- 15N.3.SL.TZ0.6b.ii: 9.0 eV.
- 15N.3.SL.TZ0.6b.i: 10.2 eV.
- 15N.3.SL.TZ0.6a.ii: State the energy in eV of the maximum wavelength photon emitted as the hydrogen atom returns to...
- 15N.3.SL.TZ0.6a.i: On the diagram, label using arrows all the possible transitions that might occur as the hydrogen...
- 15N.3.SL.TZ0.5d: For monochromatic light of wavelength 620 nm a stopping potential of 1.75 V is required....
- 15N.3.SL.TZ0.5c: Explain why no electrons are emitted if the frequency of the incident light is less than a...
- 15N.3.SL.TZ0.5b: State why, although the incident light is monochromatic, the energies of the emitted electrons vary.
- 15N.3.SL.TZ0.5a: Outline how the Einstein model is used to explain the photoelectric effect.
- 15N.2.HL.TZ0.6c.iii: Radium-226 has a half-life of 1600 years. Determine the time, in years, it takes for the activity...
- 15N.2.HL.TZ0.5b.ii: The intensity of the light is \({\text{5.1 }}\mu {\text{W}}\,{{\text{m}}^{ - 2}}\). Determine the...
- 15N.2.HL.TZ0.5b.i: Calculate, in eV, the maximum kinetic energy of the photoelectrons emitted.
- 15N.2.HL.TZ0.5a: Outline why the wave model of light cannot account for the photoelectric effect.
- 15N.1.HL.TZ0.30: A particle has a de Broglie wavelength \(\lambda \) and kinetic energy \(E\). What is the...
- 15N.1.HL.TZ0.28: When electromagnetic radiation falls on a photocell, electrons of mass \({m_{\text{e}}}\) are...
- 15M.1.HL.TZ1.29: Photoelectrons are emitted at a certain rate when monochromatic light is incident on a metal...
- 15M.1.HL.TZ1.30: Which phenomenon provides evidence for the wave nature of an electron? A. Line spectra of...
- 15M.1.HL.TZ1.33: A particular radioactive substance decays and emits both β\(^ + \) particles and neutrinos. Which...
- 15M.1.HL.TZ2.32: The following observations are made during nuclear decays. I. Discrete energy of alpha...
- 15M.1.HL.TZ2.28: Red light incident on a metal surface produces photoelectrons. The potential V of the supply...
- 15M.2.HL.TZ1.7c: Explain how the pattern demonstrates that electrons have wave properties.
- 15M.2.HL.TZ1.7d: Electrons are accelerated to a speed of 3.6×107 ms−1 by the electric field. (i) Calculate the de...
- 15M.2.HL.TZ1.7e: State what can be deduced about an electron from the amplitude of its associated wavefunction.
- 15M.2.HL.TZ1.7f: An electron reaching the central bright spot on the fluorescent screen has a small uncertainty in...
- 15M.2.HL.TZ1.9h: (i) Calculate, in hour−1, the decay constant of lead-212. (ii) In a pure sample of lead-212 at...
- 15M.2.HL.TZ2.9d: An electron is confined in a length of 2.0 \( \times \) 10–10 m. (i) Determine the uncertainty...
- 15M.2.HL.TZ2.2c: U-235 \(\left( {{}_{92}^{235}{\rm{U}}} \right)\) can undergo alpha decay to form an isotope of...
- 15M.2.HL.TZ2.9c: State what is meant by the wavefunction of an electron.
- 15M.3.SL.TZ1.5b: Determine the maximum wavelength of the photons that can cause photoemission.
- 15M.3.SL.TZ1.5c: Calculate the momentum of an electron that has the same de Broglie wavelength as the wavelength...
- 15M.3.SL.TZ1.7a: Outline why the existence of neutrinos was hypothesized to account for the energy spectrum of...
- 15M.3.SL.TZ1.7b: The decay constant for magnesium-23 is 0.061 s−1. Calculate the time taken for the number of...
- 15M.3.SL.TZ2.7a: Outline how the half-life of X can be determined experimentally.
- 15M.3.SL.TZ2.5a: (i) Calculate, in eV, the maximum kinetic energy of the emitted electrons. (ii) The number of...
- 15M.3.SL.TZ2.5b: The wavelength of the light incident on the sodium surface is decreased without changing its...
- 15M.3.SL.TZ2.7b: A pure sample of X has a mass of 1.8 kg. The half-life of X is 9000 years. Determine the mass of...
- 14M.1.HL.TZ1.33: In the “electron in a box” model, an electron is confined to move along a line of length L. What...
- 14M.1.HL.TZ2.28: Light that is shone onto a metal surface may result in the emission of electrons from the...
- 14M.1.HL.TZ2.29: An electron X is accelerated from rest through a potential difference V. Another electron Y is...
- 14M.1.HL.TZ2.31: If there is no uncertainty in the value of the de Broglie wavelength of a particle then this...
- 14M.2.SL.TZ1.5d: Potassium-38 decays with a half-life of eight minutes. (i) Define the term radioactive...
- 14M.2.HL.TZ1.9f: Light is incident on a metal surface A. A potential difference is applied between A and an...
- 14M.2.HL.TZ1.9g: A photon of energy 6.6×10–19J is incident upon a clean sodium surface. The work function of...
- 14M.3.SL.TZ1.4a: Describe the de Broglie hypothesis.
- 14M.3.SL.TZ1.4c: The momentum of the electron is known precisely. Deduce that all the information on its position...
- 14M.3.SL.TZ1.4d: With reference to Schrödinger’s model, state the meaning of the amplitude of the wavefunction for...
- 14M.3.SL.TZ1.5c: Particle X has an initial kinetic energy of 6.2MeV after the decay in (b). In a scattering...
- 14M.3.SL.TZ1.5a: Define decay constant.
- 14M.3.SL.TZ1.5b: A sample of 1.6 mol of the radioactive nuclide...
- 14N.1.HL.TZ0.29: Which of the following is correct for the de Broglie wavelength λ of a particle when the kinetic...
- 14N.1.HL.TZ0.27: Three types of radiation emitted from radioactive materials are given below. I. AlphaII....
- 14N.1.HL.TZ0.31: According to the Heisenberg uncertainty principle, conjugate quantities are pairs of quantities...
- 14N.1.HL.TZ0.32: Three phenomena associated with nuclear and quantum physics are I. Einstein photoelectric...
- 14N.1.HL.TZ0.34: A radioactive nuclide decays to a stable daughter nuclide. Initially the sample consists entirely...
- 11N.1.SL.TZO.23: In Geiger and Marsden’s experiments a thin gold foil was bombarded with alpha particles. It was...
- 11N.1.HL.TZ0.30: The probability of finding an electron at a particular position in a hydrogen atom is...
- 11N.1.HL.TZ0.28: A positively charged particle of charge q and mass m is accelerated from rest through a potential...
- 11N.1.HL.TZ0.29: Light is shone onto the surface of a metal and photoelectrons are emitted. Which of the following...
- 12N.1.HL.TZ0.33: According to the Heisenberg uncertainty principle the quantity paired with momentum is A....
- 12N.1.HL.TZ0.36: Evidence for nuclear energy levels comes from discrete energies of I. alpha particlesII. beta...
- 12N.1.HL.TZ0.37: Which particles are emitted in β+ decay? A. Positron and neutrinoB. Positron and antineutrinoC....
- 12N.1.HL.TZ0.34: Photons are incident on a metal surface. Electrons are emitted from the surface. What single...
- 13N.1.HL.TZ0.30: In the Heisenberg uncertainty principle, conjugate quantities are pairs of quantities that cannot...
- 13N.1.HL.TZ0.28: When the cathode of a photoelectric cell is illuminated with red light, a photoelectric current...
- 13N.1.HL.TZ0.33: The decay constant is the probability of the A. number of radioactive decays per unit time.B....
- 13M.1.HL.TZ1.29: An electron accelerated from rest through a potential difference V has de Broglie wavelength...
- 13M.1.HL.TZ1.32: A radioactive sample of initial activity 12.0Bq has a half-life of 3.0 days. Which of the...
- 12M.1.HL.TZ2.29: An electron of mass me and a proton of mass mp are moving with the same kinetic energy at...
- 12M.1.HL.TZ2.31: The decay constant of a radioactive isotope is 10–3s–1. Which of the following is the probability...
- 12M.1.HL.TZ2.40: Photoelectrons are emitted from the surface of a metal when light of frequency ƒ is incident on...
- 13M.2.HL.TZ1.8a: State what is meant by work function.
- 13M.2.HL.TZ1.8d: In an experiment, light at a particular frequency is incident on a surface and electrons are...
- 13M.2.HL.TZ1.8b: The diagram shows part of an experimental arrangement used to investigate the photoelectric...
- 13M.3.SL.TZ1.5b: Outline how the de Broglie hypothesis explains the existence of a discrete set of wavefunctions...
- 13M.3.SL.TZ1.6c: Sodium-22 has a decay constant of 0.27 yr–1. (i) Calculate, in years, the half-life of...
- 11M.1.HL.TZ2.31: Which of the following provides...
- 13M.3.SL.TZ1.5c: The diagram below shows the shape of two allowed wavefunctions ѱA and ѱB for an electron confined...
- 11M.1.HL.TZ2.27: Monochrom...
- 11M.1.HL.TZ2.30: ...
- 11M.1.HL.TZ2.32: ...
- 12M.1.HL.TZ1.28: Light of a particular wavelength and intensity does not cause photoelectric emission from a clean...
- 12M.1.HL.TZ1.29: Alpha particles of charge +2e and mass m are accelerated from rest through a potential difference...
- 13M.1.HL.TZ2.28: The decay constant of a radioactive isotope with half-life T is defined as A....
- 11M.2.HL.TZ2.12a: Explain with reference to the Einstein model, which graph, A or B,...
- 11M.2.HL.TZ2.12b: The frequency of the light that produces graph A is 8.8×1014Hz. The...
- 11M.2.HL.TZ2.12c: The frequency of the incident light is increased but the...
- 11M.2.HL.TZ2.12d: The electrons emitted from the photo-cathode have an...
- 12M.2.HL.TZ1.15c: Consider an electron confined in a one-dimensional “box” of length L. The de Broglie waves...
- 12M.2.HL.TZ1.15d: An electron is confined in a “box” of length L=1.0×10–10m in the n=1 energy level. Its position...
- 12M.3.SL.TZ1.4a: Define decay constant.
- 12M.3.SL.TZ1.5a: When red light is incident on the metallic surface M the microammeter registers a current....
- 12M.3.SL.TZ1.4b: Plutonium-238 is to be used as a power source in a space probe. (i) Determine the initial...
- 12M.3.SL.TZ1.5b: The graph shows the variation with voltage V of the current I in the circuit. The work...
- 12M.3.SL.TZ1.12d: The total energy of the particle represented by the dotted line is 1.2 GeV more than what is...
- 11M.3.SL.TZ2.4c: Explain why a precise knowledge of the de Broglie wavelength of the proton implies that its...
- 11M.3.SL.TZ2.5a: (i) Define decay constant. (ii) A sample of nitrogen-13 has an initial activity of 800 Bq. The...
- 11M.3.SL.TZ2.5c: Nitrogen-13 undergoes β+ decay. Outline the experimental evidence that suggests another particle,...
- 11M.3.SL.TZ2.3a: State what is meant by the photoelectric effect.
- 11M.3.SL.TZ2.3b: Light of frequency 8.7×1014Hz is incident on the surface of a metal in a photocell. The surface...
- 11M.3.SL.TZ2.4b: Determine the de Broglie wavelength of a proton that has been accelerated from rest through a...
- 12M.3.SL.TZ2.5a: Describe the concept of a photon.
- 11M.3.SL.TZ2.4a: State the de Broglie hypothesis.
- 12M.3.SL.TZ2.5b: In the photoelectric effect there exists a threshold frequency below which no emission...
- 11M.3.SL.TZ2.5b: (i) Calculate the half-life of nitrogen-13. (ii) Outline how the half-life of a sample of...
- 11N.2.HL.TZ0.3b: Tritium is a radioactive nuclide with a half-life of 4500 days. It decays to an isotope of...
- 11N.3.SL.TZ0.4b: Light of frequency f is shone onto the tungsten electrode in (a). The potential Vs for which the...
- 12N.3.SL.TZ0.6b: The half-life of potassium-40 is 1.3×109yr. In a particular rock sample it is found that 85 % of...
- 11N.3.SL.TZ0.4a: The diagram shows the set up of an experiment designed to verify the Einstein model of the...
- 11N.3.SL.TZ0.4c: The work function of tungsten is 4.5eV. Show that the de Broglie wavelength of an electron that...
- 12N.2.SL.TZ0.3b: Determine the fraction of caesium-137 that will have decayed after 120 years.
- 12N.2.HL.TZ0.10b: The wavelength of the incident light in (a) is 420 nm and the work function of the metal is...
- 12M.3.SL.TZ2.6b: The isotope potassium-40 occurs naturally in many rock formations. In a particular sample of rock...
- 12N.3.SL.TZ0.7: This question is about neutrinos. The spectrum of electron energies emitted in a typical β-decay...
- 12N.2.HL.TZ0.10a: Monochromatic light is incident on a metal surface and electrons are emitted instantaneously from...
- 12M.3.SL.TZ2.5c: Light of wavelength 420 nm is incident on a clean metal surface. The work function of the metal...
- 12N.2.HL.TZ0.8c: (i) One possible waste product of a nuclear reactor is the nuclide caesium-137...
- 12M.3.SL.TZ2.6a: The isotope bismuth-212 undergoes α-decay to an isotope of thallium. In this decay a gamma-ray...
- 12N.3.SL.TZ0.6a: A nuclide of the isotope potassium-40 \(\left( {{}_{19}^{40}{\rm{K}}} \right)\) decays into a...
- 13N.2.HL.TZ0.10f: The alpha particles and gamma rays produced in radioactive decay have discrete energy spectra....
- 12M.3.HL.TZ2.23c: In a deep inelastic scattering experiment, protons of momentum 2.70 ×10–18 N s are scattered by...
- 13N.3.SL.TZ0.5b: Overall about 10% of a sample of K-40 will decay to argon. In a particular rock sample it is...
- 11M.1.HL.TZ1.28: The diagram below shows a circuit involving a photoelectric cell. When UV light is shone onto the...
- 11M.1.HL.TZ1.31: A proton is confined within a nucleus. What is the order of magnitude of the uncertainty in its...
- 11M.1.HL.TZ1.33: The half-life of a radioactive isotope is 10 days. What is the percentage of the sample remaining...
- 13N.3.SL.TZ0.4a: Monochromatic light of different frequencies is incident on a metal surface placed in a vacuum....
- 13N.3.SL.TZ0.4b: The graph shows how the maximum kinetic energy EK of the ejected electrons in (a) varies with the...
- 13N.3.SL.TZ0.4c: Show that electrons of energy 0.50 eV have a de Broglie wavelength of about 1.7×10–9m.
- 12M.3.HL.TZ2.23d: Outline how deep inelastic scattering experiments led to the conclusion that gluons exist.
- 11M.2.HL.TZ1.10a: State what is meant by a wavefunction.
- 11M.2.HL.TZ1.10c: Calculate the momentum of the electron.
- 11M.2.HL.TZ1.10e: The electron stays in the first excited state of hydrogen for a time of...
- 11M.1.HL.TZ1.29: Electrons are accelerated from rest through a potential difference V. Their de Broglie wavelength...
- 11M.1.HL.TZ1.32: Different nuclides spontaneously undergo radioactive decay, emitting either α, β or γ radiation....
- 11M.2.HL.TZ1.10b: State the position near which this electron is most likely to be found.
- 11M.2.HL.TZ1.10d: The energy, in joules, of the electron in a hydrogen atom, is given by...
- 11M.3.SL.TZ1.4: This question is about the photoelectric effect. In an experiment to investigate the...
- 11M.3.SL.TZ1.6a: State the reaction for the decay of the I-124 nuclide.
- 11M.3.SL.TZ1.6b: The graph below shows how the activity of a sample of iodine-124 changes with time. (i) State...
Sub sections and their related questions
12.1 – The interaction of matter with radiation
- 15M.1.HL.TZ1.29: Photoelectrons are emitted at a certain rate when monochromatic light is incident on a metal...
- 15M.1.HL.TZ1.30: Which phenomenon provides evidence for the wave nature of an electron? A. Line spectra of...
- 15M.1.HL.TZ2.28: Red light incident on a metal surface produces photoelectrons. The potential V of the supply...
- 15M.2.HL.TZ1.7c: Explain how the pattern demonstrates that electrons have wave properties.
- 15M.2.HL.TZ1.7d: Electrons are accelerated to a speed of 3.6×107 ms−1 by the electric field. (i) Calculate the de...
- 15M.2.HL.TZ1.7e: State what can be deduced about an electron from the amplitude of its associated wavefunction.
- 15M.2.HL.TZ1.7f: An electron reaching the central bright spot on the fluorescent screen has a small uncertainty in...
- 15M.2.HL.TZ2.9c: State what is meant by the wavefunction of an electron.
- 15M.2.HL.TZ2.9d: An electron is confined in a length of 2.0 \( \times \) 10–10 m. (i) Determine the uncertainty...
- 15M.3.SL.TZ1.5b: Determine the maximum wavelength of the photons that can cause photoemission.
- 15M.3.SL.TZ1.5c: Calculate the momentum of an electron that has the same de Broglie wavelength as the wavelength...
- 15M.3.SL.TZ2.5a: (i) Calculate, in eV, the maximum kinetic energy of the emitted electrons. (ii) The number of...
- 15M.3.SL.TZ2.5b: The wavelength of the light incident on the sodium surface is decreased without changing its...
- 14M.1.HL.TZ1.33: In the “electron in a box” model, an electron is confined to move along a line of length L. What...
- 14M.1.HL.TZ2.28: Light that is shone onto a metal surface may result in the emission of electrons from the...
- 14M.1.HL.TZ2.29: An electron X is accelerated from rest through a potential difference V. Another electron Y is...
- 14M.1.HL.TZ2.31: If there is no uncertainty in the value of the de Broglie wavelength of a particle then this...
- 14M.2.HL.TZ1.9f: Light is incident on a metal surface A. A potential difference is applied between A and an...
- 14M.2.HL.TZ1.9g: A photon of energy 6.6×10–19J is incident upon a clean sodium surface. The work function of...
- 15N.1.HL.TZ0.28: When electromagnetic radiation falls on a photocell, electrons of mass \({m_{\text{e}}}\) are...
- 15N.1.HL.TZ0.30: A particle has a de Broglie wavelength \(\lambda \) and kinetic energy \(E\). What is the...
- 15N.2.HL.TZ0.5a: Outline why the wave model of light cannot account for the photoelectric effect.
- 15N.2.HL.TZ0.5b.i: Calculate, in eV, the maximum kinetic energy of the photoelectrons emitted.
- 15N.2.HL.TZ0.5b.ii: The intensity of the light is \({\text{5.1 }}\mu {\text{W}}\,{{\text{m}}^{ - 2}}\). Determine the...
- 14M.3.SL.TZ1.4a: Describe the de Broglie hypothesis.
- 14M.3.SL.TZ1.4c: The momentum of the electron is known precisely. Deduce that all the information on its position...
- 14M.3.SL.TZ1.4d: With reference to Schrödinger’s model, state the meaning of the amplitude of the wavefunction for...
- 15N.3.SL.TZ0.5a: Outline how the Einstein model is used to explain the photoelectric effect.
- 15N.3.SL.TZ0.5b: State why, although the incident light is monochromatic, the energies of the emitted electrons vary.
- 15N.3.SL.TZ0.5c: Explain why no electrons are emitted if the frequency of the incident light is less than a...
- 15N.3.SL.TZ0.5d: For monochromatic light of wavelength 620 nm a stopping potential of 1.75 V is required....
- 15N.3.SL.TZ0.6a.i: On the diagram, label using arrows all the possible transitions that might occur as the hydrogen...
- 15N.3.SL.TZ0.6a.ii: State the energy in eV of the maximum wavelength photon emitted as the hydrogen atom returns to...
- 15N.3.SL.TZ0.6b.i: 10.2 eV.
- 15N.3.SL.TZ0.6b.ii: 9.0 eV.
- 14N.1.HL.TZ0.29: Which of the following is correct for the de Broglie wavelength λ of a particle when the kinetic...
- 14N.1.HL.TZ0.31: According to the Heisenberg uncertainty principle, conjugate quantities are pairs of quantities...
- 14N.1.HL.TZ0.32: Three phenomena associated with nuclear and quantum physics are I. Einstein photoelectric...
- 14N.2.HL.TZ0.9d: Explain why photoelectrons are not emitted from the metal surface unless the frequency of...
- 14N.2.HL.TZ0.9e.i: identify the minimum value of the frequency \({f_0}\) for photoelectrons to be emitted.
- 14N.2.HL.TZ0.9e.ii: determine the Planck constant.
- 14N.2.HL.TZ0.9e.iii: calculate the work function, in eV, for the metal surface.
- 14N.2.HL.TZ0.9f: The student repeats the experiment with a different metal surface that has a smaller value for...
- 14N.3.SL.TZ0.5a: Describe wave-particle duality in relation to the de Broglie hypothesis.
- 14N.3.SL.TZ0.5b.i: The electrons were accelerated through a potential difference of 54 V. Show that the associated...
- 14N.3.SL.TZ0.5b.ii: The electron detector recorded a large number of electrons at a particular scattering angle...
- 14M.2.HL.TZ2.8c: State what is meant by the photoelectric effect.
- 14M.2.HL.TZ2.8d: (i) Suggest why the work function for caesium is smaller than that of mercury. (ii) ...
- 14M.2.HL.TZ2.8f: An exact determination of the location of the electron in a hydrogen atom is not possible....
- 14M.3.SL.TZ2.4a: Describe what is meant by the de Broglie hypothesis.
- 14M.3.SL.TZ2.4b: (i) Calculate the kinetic energy of the particle. (ii) Determine the de Broglie...
- 11N.1.HL.TZ0.28: A positively charged particle of charge q and mass m is accelerated from rest through a potential...
- 11N.1.HL.TZ0.29: Light is shone onto the surface of a metal and photoelectrons are emitted. Which of the following...
- 11N.1.HL.TZ0.30: The probability of finding an electron at a particular position in a hydrogen atom is...
- 12N.1.HL.TZ0.33: According to the Heisenberg uncertainty principle the quantity paired with momentum is A....
- 12N.1.HL.TZ0.34: Photons are incident on a metal surface. Electrons are emitted from the surface. What single...
- 13N.1.HL.TZ0.28: When the cathode of a photoelectric cell is illuminated with red light, a photoelectric current...
- 13N.1.HL.TZ0.30: In the Heisenberg uncertainty principle, conjugate quantities are pairs of quantities that cannot...
- 13M.1.HL.TZ1.29: An electron accelerated from rest through a potential difference V has de Broglie wavelength...
- 12M.1.HL.TZ2.29: An electron of mass me and a proton of mass mp are moving with the same kinetic energy at...
- 12M.1.HL.TZ2.40: Photoelectrons are emitted from the surface of a metal when light of frequency ƒ is incident on...
- 13M.2.HL.TZ1.8a: State what is meant by work function.
- 13M.2.HL.TZ1.8b: The diagram shows part of an experimental arrangement used to investigate the photoelectric...
- 13M.2.HL.TZ1.8d: In an experiment, light at a particular frequency is incident on a surface and electrons are...
- 13M.3.SL.TZ1.5b: Outline how the de Broglie hypothesis explains the existence of a discrete set of wavefunctions...
- 13M.3.SL.TZ1.5c: The diagram below shows the shape of two allowed wavefunctions ѱA and ѱB for an electron confined...
- 11M.1.HL.TZ2.27: Monochrom...
- 11M.1.HL.TZ2.30: ...
- 12M.1.HL.TZ1.28: Light of a particular wavelength and intensity does not cause photoelectric emission from a clean...
- 12M.1.HL.TZ1.29: Alpha particles of charge +2e and mass m are accelerated from rest through a potential difference...
- 11M.2.HL.TZ2.12a: Explain with reference to the Einstein model, which graph, A or B,...
- 11M.2.HL.TZ2.12b: The frequency of the light that produces graph A is 8.8×1014Hz. The...
- 11M.2.HL.TZ2.12c: The frequency of the incident light is increased but the...
- 11M.2.HL.TZ2.12d: The electrons emitted from the photo-cathode have an...
- 12M.2.HL.TZ1.15c: Consider an electron confined in a one-dimensional “box” of length L. The de Broglie waves...
- 12M.2.HL.TZ1.15d: An electron is confined in a “box” of length L=1.0×10–10m in the n=1 energy level. Its position...
- 12M.3.SL.TZ1.5a: When red light is incident on the metallic surface M the microammeter registers a current....
- 12M.3.SL.TZ1.5b: The graph shows the variation with voltage V of the current I in the circuit. The work...
- 12M.3.SL.TZ1.12d: The total energy of the particle represented by the dotted line is 1.2 GeV more than what is...
- 11M.3.SL.TZ2.3a: State what is meant by the photoelectric effect.
- 11M.3.SL.TZ2.3b: Light of frequency 8.7×1014Hz is incident on the surface of a metal in a photocell. The surface...
- 11M.3.SL.TZ2.4a: State the de Broglie hypothesis.
- 11M.3.SL.TZ2.4b: Determine the de Broglie wavelength of a proton that has been accelerated from rest through a...
- 11M.3.SL.TZ2.4c: Explain why a precise knowledge of the de Broglie wavelength of the proton implies that its...
- 12M.3.SL.TZ2.5a: Describe the concept of a photon.
- 12M.3.SL.TZ2.5b: In the photoelectric effect there exists a threshold frequency below which no emission...
- 11N.3.SL.TZ0.4a: The diagram shows the set up of an experiment designed to verify the Einstein model of the...
- 11N.3.SL.TZ0.4b: Light of frequency f is shone onto the tungsten electrode in (a). The potential Vs for which the...
- 11N.3.SL.TZ0.4c: The work function of tungsten is 4.5eV. Show that the de Broglie wavelength of an electron that...
- 12M.3.SL.TZ2.5c: Light of wavelength 420 nm is incident on a clean metal surface. The work function of the metal...
- 12N.2.HL.TZ0.10a: Monochromatic light is incident on a metal surface and electrons are emitted instantaneously from...
- 12N.2.HL.TZ0.10b: The wavelength of the incident light in (a) is 420 nm and the work function of the metal is...
- 13N.3.SL.TZ0.4a: Monochromatic light of different frequencies is incident on a metal surface placed in a vacuum....
- 13N.3.SL.TZ0.4b: The graph shows how the maximum kinetic energy EK of the ejected electrons in (a) varies with the...
- 13N.3.SL.TZ0.4c: Show that electrons of energy 0.50 eV have a de Broglie wavelength of about 1.7×10–9m.
- 11M.1.HL.TZ1.28: The diagram below shows a circuit involving a photoelectric cell. When UV light is shone onto the...
- 11M.1.HL.TZ1.29: Electrons are accelerated from rest through a potential difference V. Their de Broglie wavelength...
- 11M.1.HL.TZ1.31: A proton is confined within a nucleus. What is the order of magnitude of the uncertainty in its...
- 11M.2.HL.TZ1.10a: State what is meant by a wavefunction.
- 11M.2.HL.TZ1.10b: State the position near which this electron is most likely to be found.
- 11M.2.HL.TZ1.10c: Calculate the momentum of the electron.
- 11M.2.HL.TZ1.10d: The energy, in joules, of the electron in a hydrogen atom, is given by...
- 11M.2.HL.TZ1.10e: The electron stays in the first excited state of hydrogen for a time of...
- 11M.3.SL.TZ1.4: This question is about the photoelectric effect. In an experiment to investigate the...
- 09M.1.HL.TZ1.26: Ultra-violet light is shone on a zinc surface and photoelectrons are emitted. The sketch graph...
- 09M.1.HL.TZ1.31: In the Schrödinger model of the hydrogen atom, the probability of finding an electron in a small...
- 10M.1.HL.TZ1.28: Light of frequency \(f\) is incident on a metal surface. The work function of the metal is...
- 10M.1.HL.TZ1.29: An electron is accelerated from rest through a potential difference \(V\). Which of the...
- 10M.1.HL.TZ1.30: Which of the following is an assumption of the Schrödinger model of the hydrogen atom? A. ...
- 09N.1.HL.TZ0.31: The square of the amplitude of the electron wave function in an hydrogen atom is a measure of...
- 09N.1.HL.TZ0.32: A particle is accelerated from rest through a potential difference \(V\). Which of the following...
- 09N.1.HL.TZ0.33: Which of the following is a correct statement associated with the photoelectric effect? A. ...
- 10N.1.HL.TZ0.31: In the photoelectric effect, the following observations may be made. I. The kinetic energy...
- 10N.1.HL.TZ0.32: A proton and an alpha particle have the same de Broglie wavelength. Which of the following is...
- 10N.3.SL.TZ0.B1a: (i) Explain, with reference to the Einstein model of the photoelectric effect, the existence...
- 10N.3.SL.TZ0.B1b: (i) Show that the maximum kinetic energy of the emitted electrons is...
- 16M.1.HL.TZ0.35: Which of the following...
- 16M.1.HL.TZ0.36: The graphs show the...
- 16M.1.HL.TZ0.38: Different...
- 16M.2.HL.TZ0.11c: An alpha particle is confined within a nucleus of gold. Using the uncertainty principle, estimate...
- 16N.1.HL.TZ0.37: Pair production by a photon occurs in the presence of a nucleus. For this process, which of...
- 16N.1.HL.TZ0.38: An electron of mass m has an uncertainty in its position r. What is the uncertainty in the speed...
- 16N.2.HL.TZ0.11a: A current is observed on the ammeter when violet light illuminates C. With V held constant the...
- 16N.2.HL.TZ0.11b: The graph shows the variation of photoelectric current I with potential difference V between C...
- 17M.1.HL.TZ1.38: What can be used to calculate the probability of finding an electron in a particular region of...
- 17M.1.HL.TZ1.39: A photon of energy E and wavelength λ is scattered from an electron initially at rest. What is...
- 17M.2.HL.TZ1.9a: Explain how each observation provides support for the particle theory but not the wave theory of...
- 17M.2.HL.TZ1.9b.i: Determine a value for Planck’s constant.
- 17M.2.HL.TZ1.9b.ii: State what is meant by the work function of a metal.
- 17M.2.HL.TZ1.9b.iii: Calculate the work function of barium in eV.
- 17M.2.HL.TZ1.9c: The experiment is repeated with a metal surface of cadmium, which has a greater work function....
- 17M.1.HL.TZ2.38: In the Bohr model for hydrogen an electron in the ground state has orbit radius r and speed v. In...
- 17M.1.HL.TZ2.39: A neutron of mass m is confined within a nucleus of diameter d. Ignoring numerical...
- 17M.2.HL.TZ2.7a.i: Calculate the wavelength of the light.
- 17M.2.HL.TZ2.7a.ii: Electrons emitted from the surface of the photocell have almost no kinetic energy. Explain why...
- 17M.2.HL.TZ2.7b: Radiation of photon energy 5.2 x 10–19 J is now incident on the photocell. Calculate the maximum...
- 17M.2.HL.TZ2.7c.i: Describe the change in the number of photons per second incident on the surface of the photocell.
- 17M.2.HL.TZ2.7c.ii: State and explain the effect on the maximum photoelectric current as a result of increasing the...
- 17N.1.HL.TZ0.23: Samples of different radioactive nuclides have equal numbers of nuclei. Which graph shows...
- 17N.1.HL.TZ0.39: Monochromatic electromagnetic radiation is incident on a metal surface. The kinetic energy of...
- 17N.1.HL.TZ0.40: A photon interacts with a nearby nucleus to produce an electron. What is the name of this...
- 18M.1.HL.TZ1.37: Two radioactive nuclides, X and Y, have half-lives of 50 s and 100 s respectively. At time t = 0...
- 18M.1.HL.TZ1.38: According to the Bohr model for hydrogen, visible light is emitted when electrons make...
- 18M.2.HL.TZ1.8a: Show that the energy of photons from the UV lamp is about 10 eV.
- 18M.2.HL.TZ1.8b.i: Calculate, in J, the maximum kinetic energy of the emitted electrons.
- 18M.2.HL.TZ1.8b.ii: Suggest, with reference to conservation of energy, how the variable voltage source can be used to...
- 18M.2.HL.TZ1.8b.iii: The variable voltage can be adjusted so that no electrons reach the collecting plate. Write down...
- 18M.1.HL.TZ2.37: A photoelectric cell is connected in series with a battery of emf 2 V. Photons of energy 6 eV are...
- 18M.1.HL.TZ2.38: Which of the following is evidence for the wave nature of the electron? A. Continuous energy...
- 18M.2.HL.TZ2.9b: Bohr modified the Rutherford model by introducing the condition mvr = n\(\frac{h}{{2\pi...
- 18M.2.HL.TZ2.9c.ii: Using the answer in (b) and (c)(i), deduce that the radius r of the electron’s orbit in the...
- 18M.2.HL.TZ2.9c.iii: Calculate the electron’s orbital radius in (c)(ii).
12.2 – Nuclear physics
- 15M.1.HL.TZ1.33: A particular radioactive substance decays and emits both β\(^ + \) particles and neutrinos. Which...
- 15M.1.HL.TZ2.32: The following observations are made during nuclear decays. I. Discrete energy of alpha...
- 15M.2.HL.TZ2.2c: U-235 \(\left( {{}_{92}^{235}{\rm{U}}} \right)\) can undergo alpha decay to form an isotope of...
- 15M.3.SL.TZ1.7a: Outline why the existence of neutrinos was hypothesized to account for the energy spectrum of...
- 15M.3.SL.TZ1.7b: The decay constant for magnesium-23 is 0.061 s−1. Calculate the time taken for the number of...
- 15M.3.SL.TZ2.7a: Outline how the half-life of X can be determined experimentally.
- 15M.3.SL.TZ2.7b: A pure sample of X has a mass of 1.8 kg. The half-life of X is 9000 years. Determine the mass of...
- 14M.2.SL.TZ1.5d: Potassium-38 decays with a half-life of eight minutes. (i) Define the term radioactive...
- 15N.2.HL.TZ0.6c.iii: Radium-226 has a half-life of 1600 years. Determine the time, in years, it takes for the activity...
- 14M.3.SL.TZ1.5a: Define decay constant.
- 14M.3.SL.TZ1.5b: A sample of 1.6 mol of the radioactive nuclide...
- 14M.3.SL.TZ1.5c: Particle X has an initial kinetic energy of 6.2MeV after the decay in (b). In a scattering...
- 15N.3.SL.TZ0.7c.i: State what is meant by half-life.
- 14N.1.HL.TZ0.27: Three types of radiation emitted from radioactive materials are given below. I. AlphaII....
- 14N.1.HL.TZ0.34: A radioactive nuclide decays to a stable daughter nuclide. Initially the sample consists entirely...
- 14N.3.SL.TZ0.7b.i: Outline a method for measuring the half-life of an isotope, such as the half-life of carbon-11.
- 14N.3.SL.TZ0.7b.ii: State the law of radioactive decay.
- 14N.3.SL.TZ0.7b.iii: Derive the relationship between the half-life \({T_{\frac{1}{2}}}\) and the decay constant...
- 14N.3.SL.TZ0.7b.iv: Calculate the number of nuclei of carbon-11 that will produce an activity of...
- 14M.3.SL.TZ2.6a: Define the decay constant of a radioactive isotope.
- 14M.3.SL.TZ2.6b: Show that the decay constant \(\lambda \) is related to the half-life \({T_{\frac{1}{2}}}\) by...
- 14M.3.SL.TZ2.6c: Strontium-90 is a radioactive isotope with a half-life of 28 years. Calculate the time taken for...
- 11N.1.SL.TZO.23: In Geiger and Marsden’s experiments a thin gold foil was bombarded with alpha particles. It was...
- 12N.1.HL.TZ0.36: Evidence for nuclear energy levels comes from discrete energies of I. alpha particlesII. beta...
- 12N.1.HL.TZ0.37: Which particles are emitted in β+ decay? A. Positron and neutrinoB. Positron and antineutrinoC....
- 13N.1.HL.TZ0.33: The decay constant is the probability of the A. number of radioactive decays per unit time.B....
- 13M.1.HL.TZ1.32: A radioactive sample of initial activity 12.0Bq has a half-life of 3.0 days. Which of the...
- 12M.1.HL.TZ2.31: The decay constant of a radioactive isotope is 10–3s–1. Which of the following is the probability...
- 13M.3.SL.TZ1.6c: Sodium-22 has a decay constant of 0.27 yr–1. (i) Calculate, in years, the half-life of...
- 11M.1.HL.TZ2.31: Which of the following provides...
- 11M.1.HL.TZ2.32: ...
- 13M.1.HL.TZ2.28: The decay constant of a radioactive isotope with half-life T is defined as A....
- 12M.3.SL.TZ1.4a: Define decay constant.
- 12M.3.SL.TZ1.4b: Plutonium-238 is to be used as a power source in a space probe. (i) Determine the initial...
- 11M.3.SL.TZ2.5a: (i) Define decay constant. (ii) A sample of nitrogen-13 has an initial activity of 800 Bq. The...
- 11M.3.SL.TZ2.5b: (i) Calculate the half-life of nitrogen-13. (ii) Outline how the half-life of a sample of...
- 11M.3.SL.TZ2.5c: Nitrogen-13 undergoes β+ decay. Outline the experimental evidence that suggests another particle,...
- 11N.2.HL.TZ0.3b: Tritium is a radioactive nuclide with a half-life of 4500 days. It decays to an isotope of...
- 12N.2.SL.TZ0.3b: Determine the fraction of caesium-137 that will have decayed after 120 years.
- 12N.2.HL.TZ0.8c: (i) One possible waste product of a nuclear reactor is the nuclide caesium-137...
- 12M.3.SL.TZ2.6a: The isotope bismuth-212 undergoes α-decay to an isotope of thallium. In this decay a gamma-ray...
- 12M.3.SL.TZ2.6b: The isotope potassium-40 occurs naturally in many rock formations. In a particular sample of rock...
- 12N.3.SL.TZ0.6a: A nuclide of the isotope potassium-40 \(\left( {{}_{19}^{40}{\rm{K}}} \right)\) decays into a...
- 12N.3.SL.TZ0.6b: The half-life of potassium-40 is 1.3×109yr. In a particular rock sample it is found that 85 % of...
- 12N.3.SL.TZ0.7: This question is about neutrinos. The spectrum of electron energies emitted in a typical β-decay...
- 13N.2.HL.TZ0.10f: The alpha particles and gamma rays produced in radioactive decay have discrete energy spectra....
- 13N.3.SL.TZ0.5b: Overall about 10% of a sample of K-40 will decay to argon. In a particular rock sample it is...
- 12M.3.HL.TZ2.23c: In a deep inelastic scattering experiment, protons of momentum 2.70 ×10–18 N s are scattered by...
- 12M.3.HL.TZ2.23d: Outline how deep inelastic scattering experiments led to the conclusion that gluons exist.
- 11M.1.HL.TZ1.32: Different nuclides spontaneously undergo radioactive decay, emitting either α, β or γ radiation....
- 11M.1.HL.TZ1.33: The half-life of a radioactive isotope is 10 days. What is the percentage of the sample remaining...
- 11M.3.SL.TZ1.6a: State the reaction for the decay of the I-124 nuclide.
- 11M.3.SL.TZ1.6b: The graph below shows how the activity of a sample of iodine-124 changes with time. (i) State...
- 09M.1.HL.TZ1.27: A beam of electrons is accelerated from rest through a potential difference \(V\). The de Broglie...
- 09M.1.HL.TZ1.32: The radii of nuclei can be estimated from experiments involving A. the scattering of charged...
- 10N.1.HL.TZ0.30: The radii of nuclei may be determined by A. scattering charged particles off the...
- 10N.2.HL.TZ0.B1Part2.b: A beam of electrons is accelerated from rest through a potential difference of 85 V. Show that...
- 10N.2.HL.TZ0.B1Part2.c: Electrons with the same kinetic energy as those in (b) are incident on a circular aperture of...
- 10N.3.HL.TZ0.J3b: Use the conservation of lepton number and charge to deduce the nature of the particle x in the...
- 10N.3.HL.TZ0.J3c: State what is meant by deep inelastic scattering.
- 10N.3.SL.TZ0.B3b: (i) Calculate the decay constant of Au-189. (ii) Determine the activity of the sample...
- 16M.1.HL.TZ0.37: Deviations from...
- 16M.1.HL.TZ0.39: A pure...
- 16M.1.HL.TZ0.40: N...
- 16M.2.HL.TZ0.11a: An alpha particle with initial kinetic energy 32 MeV is directed head-on at a nucleus of gold-197...
- 16M.2.HL.TZ0.11b: The nucleus of \({}_{79}^{197}{\rm{Au}}\) is replaced by a nucleus of the isotope...
- 16N.1.HL.TZ0.39: Which of the following, observed during a radioactive-decay experiment, provide evidence for the...
- 16N.2.HL.TZ0.4d: C-14 decay is used to estimate the age of an old dead tree. The activity of C-14 in the dead tree...
- 17M.1.HL.TZ1.37: The diameter of a silver-108 (\({}_{47}^{108}Ag\)) nucleus is approximately three times that of...
- 17M.1.HL.TZ1.40: Electron capture can be represented by the equation p + e– → X + Y. What are X and Y?
- 17M.1.HL.TZ2.37: When monochromatic light is incident on a metallic surface, electrons are emitted from the...
- 17M.1.HL.TZ2.40: A radioactive element has decay constant \(\lambda \) (expressed in s–1). The number of nuclei of...
- 17M.2.HL.TZ2.5b.i: Deduce that the activity of the radium-226 is almost constant during the experiment.
- 17M.2.HL.TZ2.5b.ii: Show that about 3 x 1015 alpha particles are emitted by the radium-226 in 6 days.
- 17N.2.HL.TZ0.3b.i: Outline how these experiments are carried out.
- 17N.2.HL.TZ0.3b.ii: Outline why the particles must be accelerated to high energies in scattering experiments.
- 17N.2.HL.TZ0.3d.ii: Plot the position of magnesium-24 on the graph.
- 17N.2.HL.TZ0.3d.iii: Draw a line on the graph, to show the variation of nuclear radius with nucleon number.
- 18M.1.HL.TZ1.39: A particle of fixed energy is close to a potential barrier. Which changes to the width of the...
- 18M.1.HL.TZ1.40: Alpha particles with energy E are directed at nuclei with atomic number Z. Small deviations from...
- 18M.2.HL.TZ1.6b.iii: Beryllium-10 is used to investigate ice samples from Antarctica. A sample of ice initially...
- 18M.1.HL.TZ2.39: An electron of initial energy E tunnels through a potential barrier. What is the energy of...
- 18M.1.HL.TZ2.40: Two samples X and Y of different radioactive isotopes have the same initial activity. Sample X...
- 18M.2.HL.TZ2.9d.i: Explain what may be deduced about the energy of the electron in the β– decay.
- 18M.2.HL.TZ2.9d.iii: Calculate the wavelength of the gamma ray photon in (d)(ii).