Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 38, Problem 45P
(a)
To determine
The height of the Coulomb barrier.
(b)
To determine
The width of the barrier of a free alpha particle.
(c)
To determine
The speed of the alpha particle, the number of collision between the particle and the barrier, and the lifetime of uranium.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
In a Rutherford scattering experiment, an a - particle (charge = 12e) heads directly toward a gold nucleus (charge = +79e). The alpha - particle had a kinetic energy of 5.0 MeV when very far (r -> infinity`) from the nucleus. Assuming the gold nucleus to be fixed in space, determine the distance of closest approach. Hint: Use conservation of energy with PE = ke q1q2/r.
3
Make the (incorrect) assumption that the nucleus is
composed of electrons and that the protons are out-
side. (a) If the size of an atom were about 10-¹⁰ m,
what would be the speed of a proton? (b) What would
be the total mechanical energy? (c) What is wrong
with this model?
Chapter 38 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 38.3 - Prob. 1AECh. 38.8 - Prob. 1BECh. 38.8 - Prob. 1CECh. 38.9 - Prob. 1DECh. 38 - Prob. 1QCh. 38 - Prob. 2QCh. 38 - Prob. 3QCh. 38 - Prob. 4QCh. 38 - Would it ever be possible to balance a very sharp...Ch. 38 - Prob. 6Q
Ch. 38 - Prob. 7QCh. 38 - Prob. 8QCh. 38 - Prob. 9QCh. 38 - Prob. 10QCh. 38 - Prob. 11QCh. 38 - Prob. 12QCh. 38 - Prob. 13QCh. 38 - Prob. 14QCh. 38 - Prob. 15QCh. 38 - Prob. 16QCh. 38 - Prob. 17QCh. 38 - Prob. 18QCh. 38 - Prob. 1PCh. 38 - Prob. 2PCh. 38 - Prob. 3PCh. 38 - Prob. 4PCh. 38 - Prob. 5PCh. 38 - Prob. 6PCh. 38 - Prob. 7PCh. 38 - Prob. 8PCh. 38 - Prob. 9PCh. 38 - Prob. 10PCh. 38 - Prob. 11PCh. 38 - Prob. 12PCh. 38 - Prob. 13PCh. 38 - Prob. 14PCh. 38 - Prob. 15PCh. 38 - Prob. 16PCh. 38 - Prob. 17PCh. 38 - Prob. 18PCh. 38 - Prob. 19PCh. 38 - Prob. 20PCh. 38 - Prob. 21PCh. 38 - Prob. 22PCh. 38 - Prob. 23PCh. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - Prob. 27PCh. 38 - Prob. 28PCh. 38 - Prob. 29PCh. 38 - Prob. 30PCh. 38 - Prob. 31PCh. 38 - Prob. 32PCh. 38 - Prob. 33PCh. 38 - Prob. 34PCh. 38 - Prob. 35PCh. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - Prob. 40PCh. 38 - Prob. 41PCh. 38 - Prob. 42PCh. 38 - Prob. 43PCh. 38 - Prob. 44PCh. 38 - Prob. 45PCh. 38 - Prob. 46GPCh. 38 - Prob. 47GPCh. 38 - Prob. 48GPCh. 38 - Prob. 49GPCh. 38 - Prob. 50GPCh. 38 - Prob. 51GPCh. 38 - Prob. 52GPCh. 38 - Prob. 53GPCh. 38 - Prob. 54GPCh. 38 - Prob. 55GPCh. 38 - Prob. 56GPCh. 38 - Prob. 57GPCh. 38 - Prob. 58GPCh. 38 - Prob. 59GP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- (a) Show that if you assume the average nucleus is spherical with a radius r=r0A1/3, and with a mass at A u, then its density is independent at A. (b) Calculate that density in u/fm3 and kg/m3, and compare your results with those found in Example 31.1 for 56Fe.arrow_forwardMake the (incorrect) assumption that the nucleus is composed of electrons and that the protons are outside. (a) If the size of an atom were about 10-10 m, what would be the speed of a proton? (b) What would be the total mechanical energy? (c) What is wrong with this model?arrow_forwardts) We can approximate the 232Th nucleus as a one-dimensional infinite square well with length L equal to the nuclear radius R = R₁A¹/3, where Ro = 1.2 fm and A is the atomic mass number. (a) What is the length of this infinite square well? What is the ground state energy of a proton (which has mass m₂ = 938.3 MeV/c²) in this infinite square well? (b) 232Th has 90 protons and 142 neutrons. Assume that all these protons and neutrons trapped in the infinite square well. How many energy levels of this infinite square well contain protons? How many energy levels contain neutrons?arrow_forward
- In a Geiger-Marsden experiment, calculate the distance of closest approach to the nucleus of Z = 80, when an α-particle of 8 MeV energy impinges on it before it comes momentarily to rest and reverses its direction. How will the distance of closest approach be affected when the kinetic energy of the α-particle is doubled?arrow_forwardCalculate the mass of the deuteron given that the first line in the Lyman series of 1H lies at 82281.476 cm−1. Then, calculate the ratio of the ionization energies of 1H and 2H. SHOW PROCEDURE CLEARLY AND EXPLICITLY. DO NOT SKIP ANY STEParrow_forwardA 5 MeV α particle approach a gold nucleus with an impact parameter of 2.6 ×10−13 meter. Through what angle will it be scattered.arrow_forward
- Estimate the lowest possible energy of a neutroncontained in a typical nucleus of radius 1.2 x 10-15 m[Hint: Assume a particle can have an energy as large as itsuncertainty.arrow_forwardتحويل الصوت إلى نص محادثة كاميرا ( الإنجليزية Q4: Using the principle of precision, prove the impossibility of electrons being present in the nucleus, noting that the nucleus diameter is described as 104 |arrow_forwardAn atomic nucleus is estimated to be 10-15 m in radius(a) Estimate the minimum kinetic energy of the proton inside nucleus.(b) Estimate the lower limit on energy an electron must have if it were to be part of nucleus.arrow_forward
- 2. The nuclear radius of gold is approximately r = 7.0 fm (1.0 fm = 1.0 x 10-15 m). The radii of protons and aparticles are 1.3 fm and 2.6 fm, respectively. (a) What energy a particles would be needed in head-oncollision tor the nuclear surtaces to just touch? This is about where the nuclear torce becomes etective.(b) What energy protons would be needed?arrow_forwardQ#1 (a)(i)A thermal neutron has a speed v at temperature T= 300 K and kinetic energy m-: 3 KT Calculate its deBroglie wavelength. State whether a beam of these neutrons could be diffracted by a crystal, and why? (ii) Explain in detail two Heisenberg uncertainty principles. Apply Uncertainty principle to estimate the kinetic energy (in MeV) of a nucleon bound within a nucleus of radius 10 15 m. (b) A metal surface is illuminated by 8.5 x 10'* Hz light emits electrons whose maximum energy is 1.97 eV. The same surface is illuminated by 12 x 104H2 light emits electrons whose maximum energy is 0.53 eV. Find the Planck's constant and work function of the surface. idth nf one dimensional hox in which a proton has an energy of 400,000 eV in its first excitedarrow_forwardT39arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College