Physics: Cathode Ray Tube Experiments
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Questions and Answers

What is the value of the electric field used in the cathode ray tube experiment?

  • 1.86 x 10^4 N/C (correct)
  • 5.80 x 10^-4 N/C
  • 208767 N/C
  • 0.325 N/C

What happens to the path of the electrons when both the electric and magnetic fields are turned off?

  • They stop moving.
  • They travel in a straight line. (correct)
  • They curve to the right.
  • They curve to the left.

What is the radius of the electron's path after the electric field is shut down?

  • 0.325 m (correct)
  • 1.86 m
  • 0.208 m
  • 5.80 m

What is the significance of the charge to mass ratio in this experiment?

<p>It allows comparison with theoretical values. (A)</p> Signup and view all the answers

How does the magnetic field strength affect the electrons in the cathode ray tube?

<p>It determines the curvature of the electrons' path. (A)</p> Signup and view all the answers

What is the mass defect calculated from the given formula?

<p>1.44 x 10^-27 kg (B)</p> Signup and view all the answers

Which of the following calculations contributes to finding the mass of nucleons?

<p>40(1.00727u) + 53(1.008665u) (B)</p> Signup and view all the answers

What does the symbol 'u' represent in the context of mass calculations?

<p>Atomic mass unit (C)</p> Signup and view all the answers

In the formula given, what is the role of Mnuc?

<p>It refers to the mass of the nucleus. (C)</p> Signup and view all the answers

What is the first step in calculating the mass defect, as indicated in the formula?

<p>Calculating the total mass of all nucleons. (A)</p> Signup and view all the answers

What method is NOT used to probe interactions of elementary particles?

<p>Measuring temperature differences (A)</p> Signup and view all the answers

What is the main purpose of conducting scattering events in particle physics?

<p>To determine the angle of deflection between particles (A)</p> Signup and view all the answers

When dealing with bound states of particles, what is typically studied?

<p>The resulting properties of the combination of particles (D)</p> Signup and view all the answers

Which scientist is associated with measuring gravitational attraction through experimental means?

<p>Cavendish (D)</p> Signup and view all the answers

In developing a model for particle interaction, what is the first step typically taken?

<p>Guess a form for the interaction (D)</p> Signup and view all the answers

What is an alpha particle primarily composed of?

<p>Two protons and two neutrons (B)</p> Signup and view all the answers

In the Rutherford scattering experiment, what type of sample was used to emit alpha particles?

<p>A radioactive material (C)</p> Signup and view all the answers

What characteristic of the gold sheet used in the Rutherford experiment was crucial for the results?

<p>It had to be extremely thin, only a few atoms thick (D)</p> Signup and view all the answers

What does the representation of an alpha particle look like in particle notation?

<p>4 He (C)</p> Signup and view all the answers

What is the function of the lead box in the Rutherford scattering setup?

<p>To contain the radioactive sample securely (D)</p> Signup and view all the answers

Which of these statements about alpha particles is true?

<p>Alpha particles are stopped by a sheet of paper (A)</p> Signup and view all the answers

What role does the zinc-coated looped screen play in the Rutherford scattering setup?

<p>It acts as a detector for alpha particles (A)</p> Signup and view all the answers

Which of the following statements regarding the discovery of the nucleus is correct?

<p>The nucleus was revealed by the scattering of alpha particles (C)</p> Signup and view all the answers

What force is responsible for holding the nucleus of an atom together?

<p>Strong nuclear force (A)</p> Signup and view all the answers

What is the relationship between the binding energy and the mass defect of an atom?

<p>Binding energy results from mass defect (D)</p> Signup and view all the answers

How does the mass of individual subatomic particles compare to the mass of a Hydrogen-2 atom?

<p>Less than the mass of Hydrogen-2 (A)</p> Signup and view all the answers

What is the value of the mass defect for Hydrogen-2?

<p>0.002 388 u (D)</p> Signup and view all the answers

What needs to happen to the mass before substituting into E=mc²?

<p>Convert it into kilograms if using atomic mass units (B)</p> Signup and view all the answers

Which of the following statements is true regarding atomic mass?

<p>Atomic mass is less than the calculated nucleons mass (D)</p> Signup and view all the answers

What does the strong nuclear force primarily counteract?

<p>Electrostatic force (B)</p> Signup and view all the answers

What term describes the energy converted from mass in order to bind particles together?

<p>Binding energy (A)</p> Signup and view all the answers

What is the half-life of Radon-222?

<p>3.82 days (C)</p> Signup and view all the answers

After how many days will 50% of a sample of Radon-222 remain?

<p>3.82 days (A)</p> Signup and view all the answers

What percent of a sample of Radon-222 will remain after 14 days?

<p>9.0% (C)</p> Signup and view all the answers

How much polonium-210 remains after 3.8 years if the initial sample was 76 g and its half-life is 138 days?

<p>0.072 g (D)</p> Signup and view all the answers

What is the total number of half-lives that have passed after 3.8 years for polonium-210?

<p>7 half-lives (A)</p> Signup and view all the answers

If you start with 70 g of lead-212, how much will remain after 2 half-lives?

<p>17.5 g (D)</p> Signup and view all the answers

How much of a substance remains after 3 half-lives?

<p>12.5% (A)</p> Signup and view all the answers

How is the percentage of a remaining radioactive isotope calculated over a certain period?

<p>Using the formula $100(2^{-t/T})$ where $T$ is half-life. (D)</p> Signup and view all the answers

Flashcards

Velocity selection

A method used in physics that uses perpendicular electric and magnetic fields to select particles with a specific velocity, allowing only particles with a certain velocity to pass through undeflected.

Thomson's experiment

A method used to determine the charge-to-mass ratio (e/m) of charged particles, like electrons, by measuring their deflection in a magnetic field.

Charge-to-mass ratio (e/m)

The ratio of the electric charge of a charged particle to its mass.

Circular path

The curved path followed by a charged particle moving through a magnetic field.

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Lorentz force

The force exerted on a charged particle moving in a magnetic field.

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Strong Nuclear Force

A short-range force that binds protons and neutrons together within the nucleus of an atom, overcoming the electrostatic repulsion between protons.

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Mass Defect

The difference between the calculated mass of an atom's nucleons (protons and neutrons) and its actual measured mass.

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Binding Energy

The energy released when nucleons bind together to form a nucleus. It represents the energy required to break the nucleus apart into individual protons and neutrons.

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Mass-energy Equivalence in Nuclei

The total mass of the individual protons and neutrons in a nucleus is slightly greater than the mass of the nucleus itself. This mass difference is converted into binding energy.

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Mass-Energy Equivalence

The concept that mass and energy are interchangeable. This means that mass can be converted into energy, and vice versa, as described by Einstein's famous equation E=mc².

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Nuclear Binding Energy

The amount of energy required to separate all the nucleons in an atom's nucleus.

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Electrostatic Force

The force that acts between electrically charged particles, like protons, causing them to repel each other.

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Nuclear Binding Energy (Continued)

The energy associated with the strong nuclear force. This energy is responsible for holding the nucleus together despite the electrostatic repulsion.

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Atomic Mass Unit (u)

The atomic mass unit (u) is a standard unit used to express the masses of atoms and atomic particles. It's defined as 1/12th the mass of a carbon-12 atom. Conveniently, 1 u is approximately equal to 1.66054 x 10^-27 kg.

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Mass Defect Equation

The equation calculates the mass defect by subtracting the actual mass of the nucleus (Mnucleus) from the sum of the masses of its individual protons and neutrons (Mnucleons). The mass defect is then used to determine the nuclear binding energy.

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Binding Energy per Nucleon

The binding energy per nucleon is a measure of the stability of a nucleus. It represents the average energy required to remove a single nucleon from the nucleus. Higher binding energy per nucleon indicates a more stable nucleus.

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Alpha Particle

The nucleus of a helium atom, consisting of two protons and two neutrons. It is a type of ionizing radiation that carries a positive charge.

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Alpha Decay

A form of radiation resulting from the decay of unstable atomic nuclei. The alpha particle, being a helium nucleus, is ejected from the nucleus, leaving behind an atom of a different element.

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Rutherford Scattering Experiment

An experiment designed to study the structure of the atom. Alpha particles are shot at a thin gold foil. The results reveal that most alpha particles pass through the foil, while some are deflected at large angles. This experiment provided evidence for the existence of a small, dense positively charged nucleus at the center of the atom.

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Thin Gold Sheet

A sheet made of gold that is only a few atoms thick. It allows alpha particles to penetrate and interact with the gold atoms, revealing the atoms' internal structure in Rutherford's scattering experiment.

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Nucleus

The center of an atom. It contains most of the atom's mass and positive charge. The nucleus is composed of protons and neutrons.

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Helium Nucleus

A type of ionizing radiation consisting of two protons and two neutrons. It is a helium nucleus and is emitted from the nucleus of some radioactive atoms.

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Lead Box

An object placed in front of a radioactive sample to stop most of the radiation. It is typically made of lead or other materials that are dense enough to absorb the radiation.

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Zinc coated screen

A type of particle detector used to observe alpha particles. It is coated in a zinc compound that emits light when struck by alpha particles.

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Scattering Events

A method of studying the interactions of particles by firing one particle at another and observing the deflection angle.

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Decays

A method of analyzing particle interactions by observing the breakdown of a particle into smaller components.

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Bound States

A method of studying particle interactions by observing the properties of systems where two or more particles are bound together.

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Developing a "Model"

The process of proposing a form for the interaction between particles and comparing the resulting calculations with experimental data.

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Guided Guessing

The process of using experimental data to guide the development of theoretical descriptions of particle interactions.

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Half-life

The time it takes for half of the radioactive atoms in a sample to decay.

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Radioactive decay

The process by which an unstable atomic nucleus loses energy by emitting radiation.

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Half-life of a radioactive substance

The amount of time it takes for a radioactive sample to decay to 1/2 of its original activity.

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Percentage of radioactive substance remaining

The percentage of a radioactive substance remaining after a certain amount of time.

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Number of half-lives

The number of half-lives that have occurred in a given amount of time.

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Mass remaining after half-lives

The mass of a radioactive substance that remains after a certain number of half-lives.

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Time for a specific percentage of decay

The amount of time it takes for a radioactive sample to decay to a specific percentage of its original activity.

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Radioactive dating

The process of using the half-life of a radioactive substance to determine the age of an object.

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Study Notes

Atomic Physics

  • Images of various materials are used to illustrate the concepts, including a variety of patterns of colored circles, a notepad, and an image of an atom.
  • The program of studies checklist details topics for understanding the electrical nature of the atom.
  • Knowledge outcomes cover describing matter containing discrete charges, explaining cathode ray contributions, J.J. Thomson's experiment, Rutherford's scattering experiment, and the significance these experiments had for the understandings regarding the size and mass of the nucleus and atoms.
  • Performing and recording outcomes require students to perform experiments or use simulations to find the charge to mass ratio of the electron.
  • Analyzing and interpreting outcomes expect students to find the mass of an electron or ion, and derive formulas for the charge-to-mass ratio.
  • Communication and teamwork outcomes include selecting and using numeric, symbolic, graphical, and/or linguistic modes of representation.

Quantization of Energy in Atoms and Nuclei

  • Knowledge outcomes include explaining the emission of electromagnetic radiation (EMR) by accelerating charged particles, explaining continuous and line-emission/absorption characteristics, and explaining stationary states to explain observed spectra of atoms and molecules.
  • Students are expected to calculate energy difference between states, using conservation of energy and observed characteristics of emitted photons.
  • Initiating and planning outcomes require predicting conditions necessary for line-emission, and line-absorption spectra.
  • Predicting possible energy transitions in the hydrogen atom, using a labeled diagram of energy levels is also part of the outcomes.

Nuclear Fission and Fusion

  • Students are expected to describe the properties of alpha, beta, and gamma radiation, write nuclear equations, perform half-life calculations, compare and contrast fission and fusion reactions, and relate mass defects to energy released in reactions using Einstein's mass-energy equivalence.
  • Outcomes include predicting the characteristics of decay products and analyzing interpreting data from radioactive decay and estimating half-lives of radioactive decay chains.

Structure of Matter

  • Students are expected to explain how particle tracks contributed to the discovery and identification of subatomic particle characteristics, explain qualitatively the strong nuclear force's role in high-energy particle accelerator use, and describe the composition of protons and neutrons from quarks.
  • Outcomes include comparing and contrasting the properties of up quarks, down quarks, electron neutrinos, and their antimatter counterparts in regard to charge and energy(mass-energy), describing beta-positive and beta-negative decay using first generation elementary fermions, and principles of charge conservation.

Atomic Physics Vocabulary

  • This section provides a table with blank spaces for students to complete with their own researched terms and definitions.

Discovery of the Electron

  • John Dalton's theory of elements and structures described that elements are made up of smaller atoms.
  • J. J. Thomson's experiments on cathode rays led to the discovery of the electron.
  • 3rd experiment details were: measuring properties to determine charge to mass ratio of electrons, combining work of others.
  • Thomson's experiments used cathode ray tubes to test if negative charges could be separated from moving cathode rays using a magnetic field.
  • A series of experiments eventually led to a calculation that was able to determine the charge to mass ratio of electrons.

Discovery of the Nucleus

  • Rutherford's experimental setup used radioactive materials to emit alpha particles, a thin gold sheet, and a zinc-coated screen.
  • Based on the expectations from Thomson's model, the effect on positive charges could produce small scattering angles, that is why negatives were considered irrelevant and not causing many significant scattering angles.
  • Unexpectedly, some alpha particles were scattered at very large angles or bounced straight back, contradicting Thomson's model.
  • This led Rutherford to propose a new model of the atom with a tiny, dense, positively charged nucleus at the center, surrounded by electrons.

Thomson's Model

  • Thomson's model was a plum pudding model of an atom to illustrate the concept of positive and negative particles in the atom's structure.

Rutherford's Model

  • Rutherford's model consisted of a very small and dense positive nucleus at the center of the atom. Negatively charges electrons are surrounding the nucleus.
  • Empty space surrounds the nucleus.

Bohr Model of the Atom

  • Rutherford's model had serious flaws that needed to be addressed; electrons were orbiting in a circular pattern (that is accelerating).
  • Maxwell's ideas stated that accelerating charges must emit energy. This meant that electrons should be losing energy and spiraling into the nucleus.
  • Bohr's model proposed discrete energy levels for electrons.
  • Electrons can only be in specific energy levels, and transitions between these levels produce the colors in the spectrum.

Continuous and Emission/Absorption Spectra

  • Passing white light through a spectroscope produces a continuous spectrum.
  • Each element has a unique emission and absorption spectrum, similar to a 'fingerprint'.
  • Observation of a black/dark lines (absorption) on the colored background (emission), showing that the wavelengths of light emitted or absorbed by different elements are unique.

Energy Levels and Hydrogen

  • Bohr calculated the energy and radius of the lowest energy levels for hydrogen.
  • Transitions between energy levels result in emitted or absorbed photons, with specific wavelengths.

The Quantum Model

  • Bohr's model had problems with electrons emitting radiation when in stable energy levels, and the actual lines are a combination of two or more closely spaced lines.
  • De Broglie showed that particles have wave-like properties.
  • For the wavelength of the electron to fit perfectly around the nucleus, the circumference of the electron orbit must be a whole number of wavelengths.

The Nucleus

  • The nucleus contains nucleons.
  • Protons have a positive charge, determine the element, and their number equals atomic number.
  • Neutrons have no charge. The total of protons and neutrons is the atomic mass number.
  • The notation for a particular nucleus utilizes the atomic number (Z), atomic mass number (A), and the element's symbol.
  • Isotopes have the same atomic number but different numbers of neutrons, potentially affecting nuclear stability.
  • The strong nuclear force overcomes the electrostatic force of repulsion between protons to hold the nucleus together.
  • Calculations measure the mass defect and binding energy of a particular nucleus.

Radioactive Decay

  • Radioactive decay occurs in unstable atoms and releases energy.
  • Alpha decay emits a helium nucleus.
  • Beta decay involves a neutron converting to a proton and emitting an electron.
  • Gamma decay involves emitting high-energy photons from an excited nucleus.
  • Half-life is the time it takes for half of the atoms in a sample to decay.

Decay Rates

  • The concept of half-life is detailed.
  • Calculating quantity remaining after an amount of time using the equation for exponential decay.

Fusion and Fission

  • Fusion is the combining of light nuclei, while fission is the splitting of heavy nuclei.
  • Fusion in stars involves the proton-proton chain.
  • Fission reactions can be used in power plants; this involves a chain reaction that is carefully controlled.
  • Fission reactions are used in nuclear weapons that are explosive chain reactions.

Detecting and Measuring Subatomic Particles

  • Methods of detecting/measuring particles include scattering events, decays, and examining bound states.
  • Methods such as Cloud Chamber and Bubble Chambers.
  • The use of magnetic fields to curve the paths of charged particles allows for the identification of their nature and mass.
  • Photographs showing particle tracks are analyzed based on characteristics, such as particle charge and mass determination.

Energy Requirements

  • The energy required to study subatomic particles.
  • Particle accelerators are discussed and related to the energy needs for subatomic particles' studies.

Particle Accelerators

  • Different types of particle accelerators (Van de Graaff, Drift tube, Cyclotron, and Synchrotron) are included.

Units for Subatomic Masses

  • Energy units (eV, MeV) are convenient to use for subatomic particles' calculations.
  • Conversion between mass and energy units is presented.

The Standard Model

  • All matter is made of 12 fundamental particles (6 leptons and 6 quarks).
  • The Standard model includes the electromagnetic, weak, and strong nuclear forces.
  • Quarks are grouped together through the strong force.

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Test your knowledge on the fundamentals of cathode ray tube experiments, focusing on electric and magnetic fields, electron paths, and mass defect calculations. This quiz explores key concepts such as charge to mass ratio and particle interactions in physics.

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