An electron and a positron are separated by distance r. Find the ratio of the gravitational force to the electric force between them. From the result, what can you conclude concerning the forces acting between particles detected in a bubble chamber? (Should gravitational interactions be considered?)

An electron and a positron are separated by distance r. Find the ratio of the gravitational force to the electric force between them. From the result, what can you conclude concerning the forces acting between particles detected in a bubble chamber? (Should gravitational interactions be considered?)

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter28: The Atom

Section: Chapter Questions

Problem 63A

See similar textbooks

Similar questions

Given the following massspectrometer schematic, find theB-field such that the radius of theparticle’s trajectory is 0.194 m. Assume the particle is an electronwith mass 2.36 x 10-26 kg, and beginsits trajectory in an E-field of 2.1 x103 V/m.
Consider an ultrahigh-energy cosmic ray entering the Earth’s atmosphere (some have energies approaching a joule).Construct a problem in which you calculate the energy of the particle based on the number of particles in an observed cosmic ray shower. Among the things to consider are the average mass of the shower particles, the average number per square meter, and the extent (number of square meters covered) of the shower. Express the energy in eV and joules.
The degeneracy pressure of the electrons can stabilize the collapse of a star due to gravity by equating the gravitational inward pressure with the outward electron gas degeneracy pressure. These cold stars called white dwarfs have small radii compared to their original size and this radius decreases as the original mass of the star increases. As the mass of a star increases, the electron energy increases to a point in which their energy has to be treated relativistically. (a) Evaluate the degeneracy pressure for ultra-relativistic electrons (problem 2, above). (b) As the pressure increases, the reaction e − + p → n + ν takes place. The neutrinos (ν) escape as matter is transparent to them, electrons and protons convert to neutrons until we are left with a neutron star. Using your expression for the degeneracy pressure obtained in (a) above, equate the gravitational pressureto the neutron degeneracy pressure (replace the electron’s mass in your degeneracy pressure expression from (a)…
The range of the nuclear strong force is believed to be about 1.2 x 10-15 m. An early theory of nuclear physics proposed that the particle that “mediates” the strong force (similar to the photon mediating the electromagnetic force) is the pion. Assume that the pion moves at the speed of light in the nucleus, and calculate the time ∆t it takes to travel between nucleons. Assume that the distance between nucleons is also about 1.2 x 10-15 m. Use this time ∆t to calculate the energy ∆E for which energy conservation is violated during the time ∆t. This ∆E has been used to estimate the mass of the pion. What value do you determine for the mass? Compare this value with the measured value of 135 MeV/c2 for the neutral pion.
Protons of energy 5.1 MeV are incident on a silver foil of thickness 3.6 x 10-6 m. What fraction of the incident protons is scattered at the following angles? (The density of silver is 10.5 g/cm³, and its molar mass is 107.9 g/mol. Give your answer in decimal notation, e.g., 0.05 for 1/20.) (a) greater than 90° 3.716E-5 X (b) less than 5⁰
Considering electron and proton as two charged particles separated by d = 5.7 × 10-11 m calculate the gravitational force between the proton and electron and find its ratio to the Coulomb force. Take the mass of the proton 1.7 × 10¬2 kg, the mass of the electron 9.1 × 10¬3' kg, the value of the universal 1 = 9 x 10° m/F. Give the answer for the gravitational force in 10" gravitational constant 6.7 x 10-11 N kg?m² , the electron charge –1.6 × 10-19 c and 4πεο 47 N.
Consider (Figure 1) showing a proton approaching a helium-3 nucleus that has two protons and one neutron. Figure 1 of 1 Proton Helium-3 nucleus Initial 9= +2e Зт 9 = +e m To = 0 v = 0 Final (the proton is at rest)
Ernest Rutherford is famous for, among other things, shooting alpha particles at unsuspecting gold atoms. Consider an alpha particle endowed with 5.00 MeV of energy. Determine the closest distance this particle can approach the nucleus of a gold atom before deflecting
(a) A positron has 1500 eV of kinetic energy. Calculate its speed in meters per second. (b) Suppose a constant magnetic field of 150 mT points straight down into this page and perpendicular to it. Calculate the magnetic force exerted on the positron as it moves in the plane of this page. (c) Calculate the radius of the positron's path in the constant magnetic field. Make a sketch showing its orbital direction. (d) Calculate the magnitude of the positron's momentum. (e) Calculate the positron's quantum wavelength. How many wavelengths fit into one orbit?
6.13 Alpha particles are accelerated in a superconducting cyclotron operating with a magnetic field of 4 T. If the energy of extracted a particles is 12.5 MeV, calculate the value of the extraction radius in cm. 6.14 Calculate the cyclotron frequency in Problem 6.13.
The Σ* particle has a rest energy of 1385 MeV and a lifetime of 2.0 × 10-23 s. What would be a typical range of outcomes of measurements of the Σ* rest energy?
Suppose a cyclotron is operated at an oscillator frequency of 10.3 MHz and has a dee radius 51.1 cm. Estimate the total path length traveled by a deuteron in the cyclotron during the (entire) acceleration process. Assume that the accelerating potential between the dees is 67.6 kV. The deuteron mass is m = 3.34 x 10-27 kg. Number i Units m