Il One form of nuclear
Is charge conserved in the beta decay process? Explain.
b. Why is the final product a helium atom? Explain.
c. The nuclei of both 3H and 3He have radii of 1.5 X 10-15 m.
With what minimum speed must the electron be ejected if it is
to escape from the nucleus and not fall back?
Want to see the full answer?
Check out a sample textbook solutionChapter 25 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
- CSM.10 One way to measure nuclear radii is to determine the initial speed that a proton fired at a nucleus must have to be absorbed. Suppose you fire a proton directly at the nucleus of a gold atom, which contains 79 protons and neutrons. Since both the proton and the gold nucleus are positively charged, they will repel each other electrostati cally. What must the proton's minimum initial speed (as a fraction of the speed of light) be if it is to penetrate that nucleus (whose radius is R 6 fm)? (a) Give your answer symbolically in terms of R, the Cou- lomb constant 1/4TEo, the speed of light c, the charge on the proton q, and the proton's mass m. (b) What is this fraction's numerical value? (Hints: What must the proton's speed be at its point of closest approach if the collision is head-on and it barely touches the nucleus? Note also that the particles' initial separation will be essentially infinite compared to 6 fm. Neutrons have no charge, so the charge of a gold nucleus will be 79…arrow_forwardIn nuclear fission, a nucleus splits roughly in half. A. What is the potential 4.00 x 10-14 m from a fragment that has 50 protons in it? (p=+1.602x10-19 C) →Why 1.8 MV is the answer for this problem?arrow_forward(a) Calculate the number of cells in a hummingbird assuming the mass of an average cell is ten times the mass of a bacterium. (b) Making the same assumption, how many cells are there in a human?arrow_forward
- c) Which type of electron transport is more efficient - Ballistic or Diffusive ? Justify your answer.arrow_forwardsee G12 Physics 186.3arrow_forwardAn electron is in uniform circular orbit around a nucleus at a distance of 8.00 x 1011 meters at a speed of 4.35 x 106 m/s. Determine the number of protons in the nucleus. Include a labeled drawing.arrow_forward
- 8) The nucleus of a silver atom has a charge +47 e and is fixed at the origin of a cartesian coordinate system. An alpha particle of mass 6.68 × 10^−27 kg and charge +4 e is fired along the x-axis from infinity with an initial kinetic energy of 7.00 × 10^−13 J. At what distance from the silver nucleus will the alpha particle come (momentarily) to rest?arrow_forward1) What is the electric potential due to the nucleus of hydrogen at a distance of 8.50×10-11 m? Assume the potential is equal to zero as r→ ∞. (Express your answer to three significant figures.) Submit Varrow_forwardIn the Rutherford model of the hydrogen atom, a proton (mass M, charge Q) is the nucleus and an electron (mass m, charge q) moves around the proton in a circle of radius r. Let k denote the Coulomb force constant (1/4TTE0) and G the universal gravitational constant. The ratio of the electrostatic force to the gravitational force between electron and proton is: O kMm/GQq O kQq/GMm O GQq/kMm O GMm/kQq O kQq/GMmr²arrow_forward
- Item 14 Rutherford's Planetary Model of the Atom In 1911, Ernest Rutherford developed a planetary model of the atom, in which a small positively charged nucleus is orbited by electrons. The model was motivated by an experiment carried out by Rutherford and his graduate students, Geiger and Marsden. In this experiment, they fired alpha particles with an initial speed of 1.30 x 107m/s at a thin sheet of gold. (Alpha particles are obtained from certain radioactive decays. They have a charge of +2e and a mass of 6.64 x 10-27 kg.) Part A 15. ΑΣΦ r= 4.8 10-14 How close can the alpha particles get to a gold nucleus (charge = +79e), assuming the nucleus remains stationary? (This calculation sets an upper limit on the size of the gold nucleus. See Chapter 31 of the textbook for further details.) ● Submit Previous Answers Request Answer Provide Feedback ? X Incorrect; Try Again; 2 attempts remaining 14 of 15 m Review Next >arrow_forwardProblem 1: White dwarf star A white dwarf star is essentially a degenerate electron gas, with a bunch of nuclei mixed in to balance the charge and to provide the gravitational attraction that holds the star together. White dwarf stars tend to be extremely hot by our standards; nevertheless, it is an excellent approximation in this problem to set T=0. The gravitational potential energy inside a star of uniform density is Ugrav = 3 см2 a) Assuming that the star contains one proton and one neutron for each electron, and that the electrons are nonrelativistic, show that the total (kinetic) energy of the degenerate electrons equals h²M³ Ukinetic = (0.0088)- męm R? b) The equilibrium radius of the white dwarf is that which minimize the total energy Ugrav + Ukinetie: Sketch the total energy as a function of R, and find a formula for the equilibrium radius in terms of the mass. As the mass increases, does the radius increase or decrease? Does this make sense? c) Evaluate the equilibrium radius…arrow_forwardItem 14 Rutherford's Planetary Model of the Atom In 1911, Ernest Rutherford developed a planetary model of the atom, in which a small positively charged nucleus is orbited by electrons. The model was motivated by an experiment carried out by Rutherford and his graduate students, Geiger and Marsden. In this experiment, they fired alpha particles with an initial speed of 1.30 x 107m/s at a thin sheet of gold. (Alpha particles are obtained from certain radioactive decays. They have a charge of +2e and a mass of 6.64 × 10-27 kg.) Part A r = How close can the alpha particles get to a gold nucleus (charge = +79e), assuming the nucleus remains stationary? (This calculation sets an upper limit on the size of the gold nucleus. See Chapter 31 of the textbook for further details.) —| ΑΣΦ Submit Request Answer ? 14 of 15 m Reviewarrow_forward
- College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegePhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning