College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Textbook Question
Chapter 29, Problem 67PE
(a) The lifetime of a highly unstable nucleus is 10-20. What is the smallest uncertainty in its decay energy? (b) Compare this with the rest energy of an electron.
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(a) The lifetime of a highly unstable nucleus is 10-12 s. What is the smallest uncertainty (in ev) in its decay energy?
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(b) What is the ratio of this energy, AE, to the rest energy of an electron, Erest?
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A π0 meson is an unstable particle produced in high-energy particle collisions. Its rest energy is approximately 135 MeV, and it exists for a lifetime of only 8.70 × 10-17 s before decaying into two gamma rays. Using the uncertainty principle, estimate the fractional uncertainty Δm/m in its mass determination.
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Chapter 29 Solutions
College Physics
Ch. 29 - Give an example of a physical entity that is...Ch. 29 - Give an example of a physical entity that is not...Ch. 29 - What aspect of the blackbody spectrum forced...Ch. 29 - If Planck's constant were large, say 1034 times...Ch. 29 - Why don't we notice quantization in everyday...Ch. 29 - Is visible light the only type of EM radiation...Ch. 29 - Which aspects of the photoelectric effect cannot...Ch. 29 - Is the photoelectric effect a direct consequence...Ch. 29 - Insulators (nonmetals) have a higher BE than...Ch. 29 - If you pick up and shake a piece of metal that has...
Ch. 29 - Why are UV, x rays, and rays called ionizing...Ch. 29 - How can treating food with ionizing radiation help...Ch. 29 - Some television tubes are CRTs. They use an...Ch. 29 - Tanning salons use "safe" UV with a longer...Ch. 29 - Your pupils dilate when visible light intensity is...Ch. 29 - One could feel heat transfer in the form of...Ch. 29 - Can a single microwave photon cause cell damage?...Ch. 29 - In an the maximum photon energy E given by hf=qV....Ch. 29 - Which formula may be used for the momentum of all...Ch. 29 - Is there any measurable difference between the...Ch. 29 - Why don't we feel the momentum of sunlight when we...Ch. 29 - How does the interference of water waves differ...Ch. 29 - Describe one type of evidence for the wave nature...Ch. 29 - Describe one type of evidence for the particle...Ch. 29 - What is the Heisenberg uncertainty principle? Does...Ch. 29 - In what ways are matter and energy related that...Ch. 29 - A LiBr molecule oscillates with a frequency of...Ch. 29 - The difference in energy between allowed...Ch. 29 - A physicist is watching a 15-kg orangutan at a zoo...Ch. 29 - What is the longest-wavelength EM radiation that...Ch. 29 - Find the longest-wavelength photon that can eject...Ch. 29 - What is the binding energy in eV of electrons in...Ch. 29 - Calculate the binding energy in eV of electrons in...Ch. 29 - What is the maximum kinetic energy in eV of...Ch. 29 - UV radiation having a wavelength of 120 nm falls...Ch. 29 - Violet light of wavelength 400 nm ejects electrons...Ch. 29 - UV radiation having a 300-nm wavelength falls on...Ch. 29 - What is the wavelength of EM radiation that ejects...Ch. 29 - Find the wavelength of photons that eject 0.100-eV...Ch. 29 - What is the maximum velocity of electrons ejected...Ch. 29 - Photoelectrons from a material with a binding...Ch. 29 - A laser with a power output of 2.00 mW at a...Ch. 29 - (a) Calculate the number of photoelectrons per...Ch. 29 - Unreasonable Results Red light having a wavelength...Ch. 29 - Unreasonable Results (a) What is the binding...Ch. 29 - What is the energy in joules and eV of a photon in...Ch. 29 - (a) Find the energy in joules and eV of photons in...Ch. 29 - Calculate the frequency in hertz of a 1.00-MeV ...Ch. 29 - (a) What is the wavelength of a 1.00-eV photon?...Ch. 29 - Do the unit conversions necessary to show that...Ch. 29 - Confirm the statement in the text that the range...Ch. 29 - (a) Calculate the energy in eV of an IP photon of...Ch. 29 - Prove that, to three-digit accuracy,...Ch. 29 - (a) What is the maximum energy in eV of photons...Ch. 29 - What is the accelerating voltage of an x-ray tube...Ch. 29 - (a) What is the ratio of power outputs by two...Ch. 29 - How many photons per second are emitted by the...Ch. 29 - Some satellites use nuclear power. (a) If such a...Ch. 29 - (a) If the power output of a 650-kHz radio station...Ch. 29 - How many x-ray photons per second are created by...Ch. 29 - (a) How far away must you be from a 650-kHz radio...Ch. 29 - Assuming that 10.0% of a 100-W light bulb's energy...Ch. 29 - Construct Your Own Problem Consider a laser pen....Ch. 29 - (a) Find the momentum of a 4.00-cm-wavelength...Ch. 29 - (a) What is the momentum of a 0.0100-nm-wavelength...Ch. 29 - (a) What is the wavelength of a photon that has a...Ch. 29 - (a) A -ray photon has a momentum of...Ch. 29 - (a) Calculate the momentum of a photon having a...Ch. 29 - Repeat the previous problem for a...Ch. 29 - (a) Calculate the wavelength of a photon that has...Ch. 29 - (a) Find the momentum of a 100-keV x-ray photon....Ch. 29 - Take the ratio of relativistic rest energy, E=mc2,...Ch. 29 - Construct Your Own Problem Consider a space sail...Ch. 29 - Unreasonable Results A car feels a small force due...Ch. 29 - At what velocity will an electron have a...Ch. 29 - What is the wavelength of an electron moving at...Ch. 29 - At what velocity does a proton have a 6.00-fm...Ch. 29 - What is the velocity of a 0.400-kg billiard ball...Ch. 29 - Find the wavelength of a proton moving at 1.00% of...Ch. 29 - Experiments are performed with ultra-cold neutrons...Ch. 29 - (a) Find the velocity of a neutron that has a...Ch. 29 - What is the wavelength of an electron accelerated...Ch. 29 - What is the kinetic energy of an electron in a TEM...Ch. 29 - (a) Calculate the velocity of an electron that has...Ch. 29 - The velocity of a proton emerging from a Van de...Ch. 29 - The kinetic energy of an electron accelerated in...Ch. 29 - Unreasonable Results (a) Assuming it is...Ch. 29 - (a) If the position of an electron in a membrane...Ch. 29 - (a) If the position of a chlorine ion in a...Ch. 29 - Suppose the velocity of an electron in an atom is...Ch. 29 - The velocity of a proton in an accelerator is...Ch. 29 - A relatively long-lived excited state of an atom...Ch. 29 - (a) The lifetime of a highly unstable nucleus is...Ch. 29 - The decay energy of a short-lived particle has an...Ch. 29 - The decay energy of a short-lived nuclear excited...Ch. 29 - What is the approximate uncertainty in the mass of...Ch. 29 - Derive the approximate form of Heisenberg's...Ch. 29 - Integrated Concepts The 54.0-eV electron in...Ch. 29 - Integrated Concepts An electron microscope...Ch. 29 - Integrated Concepts A certain heat lamp emits 200...Ch. 29 - Integrated Concepts On its high power setting, a...Ch. 29 - Integrated Concepts (a) Calculate the amount of...Ch. 29 - Integrated Concepts (a) What is for an electron...Ch. 29 - Integrated Concepts (a) What is for a proton...Ch. 29 - Integrated Concepts An electron microscope passes...Ch. 29 - Integrated Concepts (a) Calculate the velocity of...Ch. 29 - Integrated Concepts (a) What is the separation...Ch. 29 - Integrated Concepts A laser with a power output of...Ch. 29 - Integrated Concepts One problem with x rays is...Ch. 29 - Integrated Concepts A 1.00-fm photon has a...Ch. 29 - Integrated Concepts The momentum of light is...Ch. 29 - Integrated Concepts Sunlight above the Earth's...
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- (a) What is the uncertainty in the energy released in the decay of a due to its short lifetime? (b) What traction of the decay energy is this, noting that the decay mode is (so that all the mass is destroyed)?arrow_forwardThe decay energy of a short-lived nuclear excited state has an uncertainty of 2.1 eV due to its short lifetime. What is the smallest lifetime (in s) it can have? ____sarrow_forwardThe velocity of a neutron is measured to be 6.0 x 106 m s-1 with an uncertainty of 1.0 × 103 m s-1. (i) What is the minimum uncertainty of the simultaneous measurement of the position of the neutron? (ii) State how the minimum uncertainties of a measured energy and a measured time are relatedarrow_forward
- A nucleus emits a gamma ray of energy 1.2 MeV from a state that has a lifetime of 2.1 ns. What is the uncertainty in the energy of the gamma ray? The best gamma-ray detectors can measure gamma-ray energies to a precision of no better than a few eV. Will this uncertainty be directly measurable?arrow_forwardIf the velocities of individual neutrons are known to within 2.0% of this value, what is the uncertainty in the position of one of them?arrow_forwardA thermal neutron has a speed v at temperature T = 300 K and kinetic energy m,v² m = 3KT. Calculate its deBroglie wavelength. State whether a beam of these neutrons could be diffracted by a crystal, and why? (b) Use Heisenberg's Uncertainty principle to estimate the kinetic energy (in MeV) of a nucleon bound within a nucleus of radius 10-15 m.arrow_forward
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