(1) Alpha particles of kinetic energy 6.250 MeV are scattered at 90° by a gold foil.(a) What is the impact parameter?(b) What is the minimum distance between the alpha particles and the gold nucleus?(c) Find the kinetic and potential energies at that minimum distance.

Step 1: Step 2: Step 3: Step 4:

Answered: (1) Alpha particles of kinetic energy…

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter4: The Particle Nature Of Matter

Section: Chapter Questions

Problem 9P

See similar textbooks

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.
(a) An aspiring physicist wants to build a scale model of a hydrogen atom for her science fair project. If the atom is 1.00 m in diameter, how big should she try to make the nucleus? (b) How easy will this be to do?
In a Rutherford scattering experiment, assume that an incident alpha particle (radius 1.80 fm) is headed directly toward a target gold nucleus (radius 6.23 fm).What energy must the alpha particle have to just barely “touch” the gold nucleus?
T1
Alpha particles are projected toward a gold foil from a distance that is sufficiently large to consider the Coulomb force negligible. The gold nuclei have 118 neutrons and 79 protons. If a 3.60 MeV alpha particle has a scattering angle of 180° and the gold nucleus does not recoil, determine the distance of closest approach of the alpha particle.
Protons are incident on a copper foil 12 μm thick. 4 (a) What should be the proton kinetic energy in order that the distance of closest approach equal the nuclear radius (5.0 fm)? (b) If the proton energy were 7.5 MeV, what is the impact parameter for scattering at 120°? (c) What is
Alpha particles of kinetic energy K are scattered either from a gold foil or a silver foil of identical thickness. What is the ratio of the number of particles scattered at angles greater than 90° by the gold foil to the same number for the silver foil?
In an alpha particle (42He) scattering experiment, using a thin gold (19779Au) foil, the initial kinetic energy of the alpha particle is 2.0MeV.(a.) What is the potential energy of the alpha particle/gold nucleus system at closest impact?(b.) Calculate the distance of closest approach. Compare this distance with the radius of the gold nucleus.
The radii of He and Au nuclei are 1.6 fm and 8.0 fm, respectively. Find the kinetic energy of an alpha particle such that the two particles will just touch in a head-on collision. (in MeV units).
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?
Use energy methods to calculate the distance of closest approach for a head-on collision between an alpha particle having initial energy of 0.500 MeV and a gold nucleus (197 Au) at rest. Assume the gold nucleus remains at rest during the collision.
A solid copper sphere whose radius is 1.0 cm has a verythin surface coating of nickel. Some of the nickel atoms areradioactive, each atom emitting an electron as it decays. Halfof these electrons enter the copper sphere, each depositing 100 keVof energy there.The other half of the electrons escape, each carryingaway a charge e.The nickel coating has an activity of 3.70 *10^8 radioactivedecays per second. The sphere is hung from a long, nonconductingstring and isolated from its surroundings. (a) How longwill it take for the potential of the sphere to increase by 1000 V? (b)How long will it take for the temperature of the sphere to increaseby 5.0 K due to the energy deposited by the electrons? The heatcapacity of the sphere is 14 J/K.

SEE MORE QUESTIONS

Recommended textbooks for you

Modern Physics

Physics

ISBN:

9781111794378

Author:

Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:

Cengage Learning

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

College Physics

Physics

ISBN:

9781285737027

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

Modern Physics

Physics

ISBN:

9781111794378

Author:

Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:

Cengage Learning

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

College Physics

Physics

ISBN:

9781285737027

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

College Physics

Physics

ISBN:

9781938168000

Author:

Paul Peter Urone, Roger Hinrichs

Publisher:

OpenStax College

Physics for Scientists and Engineers with Modern …

Physics

ISBN:

9781337553292

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Classical Dynamics of Particles and Systems

Physics

ISBN:

9780534408961

Author:

Stephen T. Thornton, Jerry B. Marion

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

(1) Alpha particles of kinetic energy 6.250 MeV are scattered at 90° by a gold foil. (a) What is the impact parameter? (b) What is the minimum distance between the alpha particles and the gold nucleus? (c) Find the kinetic and potential energies at that minimum distance.