Physics
5th Edition
ISBN: 9781260486919
Author: GIAMBATTISTA
Publisher: MCG
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Chapter 28, Problem 22P
To determine
The uncertainty in energy of the gamma ray emitted.
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In solid helium the spacing between atoms is about 3Å . Helium contains 2 protons and 2 neutrons, so the mass of a helium atom is 6.6×10−27 kg. What is the smallest possible energy of a helium atom in solid helium? What temperature (in Kelvin) does this energy correspond with? (Boltzmann's constant is kb=1.38×10−23 J/K
(a) The lifetime of a highly unstable nucleus is 10-12 s. What is the smallest uncertainty (in ev) in its decay energy?
ev
(b) What is the ratio of this energy, AE, to the rest energy of an electron, Erest?
ΔΕ
Erest
PROBLEM: The lifetime of a nucleus in an excited state is 10-12²s. Calculate the probable
uncertainty in the energy and frequency of a y-ray photon emitted by it.
Chapter 28 Solutions
Physics
Ch. 28.2 - Prob. 28.2CPCh. 28.2 - Prob. 28.1PPCh. 28.2 - Prob. 28.2PPCh. 28.4 - Prob. 28.4CPCh. 28.4 - Prob. 28.3PPCh. 28.6 - Prob. 28.6CPCh. 28.7 - Prob. 28.4PPCh. 28.9 - Prob. 28.5PPCh. 28.10 - Prob. 28.6PPCh. 28 - Prob. 1CQ
Ch. 28 - Prob. 2CQCh. 28 - Prob. 3CQCh. 28 - Prob. 4CQCh. 28 - Prob. 5CQCh. 28 - Prob. 6CQCh. 28 - Prob. 7CQCh. 28 - Prob. 8CQCh. 28 - Prob. 9CQCh. 28 - Prob. 10CQCh. 28 - Prob. 11CQCh. 28 - Prob. 12CQCh. 28 - Prob. 13CQCh. 28 - Prob. 14CQCh. 28 - Prob. 15CQCh. 28 - Prob. 16CQCh. 28 - Prob. 17CQCh. 28 - Prob. 18CQCh. 28 - Prob. 1MCQCh. 28 - Prob. 2MCQCh. 28 - Prob. 3MCQCh. 28 - Prob. 4MCQCh. 28 - Prob. 5MCQCh. 28 - Prob. 6MCQCh. 28 - Prob. 7MCQCh. 28 - Prob. 8MCQCh. 28 - Prob. 9MCQCh. 28 - Prob. 10MCQCh. 28 - Prob. 1PCh. 28 - Prob. 2PCh. 28 - Prob. 3PCh. 28 - Prob. 4PCh. 28 - Prob. 5PCh. 28 - Prob. 6PCh. 28 - Prob. 7PCh. 28 - Prob. 8PCh. 28 - Prob. 9PCh. 28 - Prob. 10PCh. 28 - Prob. 11PCh. 28 - Prob. 12PCh. 28 - Prob. 13PCh. 28 - Prob. 15PCh. 28 - Prob. 14PCh. 28 - Prob. 17PCh. 28 - Prob. 16PCh. 28 - Prob. 18PCh. 28 - Prob. 19PCh. 28 - Prob. 20PCh. 28 - Prob. 21PCh. 28 - Prob. 23PCh. 28 - Prob. 22PCh. 28 - Prob. 25PCh. 28 - Prob. 24PCh. 28 - Prob. 26PCh. 28 - Prob. 27PCh. 28 - Prob. 28PCh. 28 - Prob. 29PCh. 28 - Prob. 30PCh. 28 - Prob. 32PCh. 28 - Prob. 31PCh. 28 - Prob. 33PCh. 28 - Prob. 34PCh. 28 - Prob. 35PCh. 28 - Prob. 36PCh. 28 - Prob. 37PCh. 28 - Prob. 39PCh. 28 - Prob. 41PCh. 28 - Prob. 40PCh. 28 - Prob. 38PCh. 28 - Prob. 42PCh. 28 - Prob. 43PCh. 28 - Prob. 44PCh. 28 - Prob. 45PCh. 28 - Prob. 46PCh. 28 - Prob. 47PCh. 28 - Prob. 48PCh. 28 - Prob. 49PCh. 28 - Prob. 50PCh. 28 - Prob. 51PCh. 28 - Prob. 52PCh. 28 - Prob. 53PCh. 28 - Prob. 54PCh. 28 - Prob. 55PCh. 28 - Prob. 56PCh. 28 - Prob. 57PCh. 28 - Prob. 58PCh. 28 - Prob. 59PCh. 28 - Prob. 60PCh. 28 - Prob. 61PCh. 28 - Prob. 62PCh. 28 - Prob. 63PCh. 28 - Prob. 65PCh. 28 - Prob. 64PCh. 28 - Prob. 66PCh. 28 - Prob. 67PCh. 28 - Prob. 68PCh. 28 - Prob. 69PCh. 28 - Prob. 70PCh. 28 - Prob. 71PCh. 28 - Prob. 72PCh. 28 - Prob. 73PCh. 28 - Prob. 74PCh. 28 - Prob. 75PCh. 28 - Prob. 76PCh. 28 - Prob. 77PCh. 28 - Prob. 79PCh. 28 - Prob. 78PCh. 28 - Prob. 80PCh. 28 - Prob. 81PCh. 28 - Prob. 82PCh. 28 - Prob. 83PCh. 28 - Prob. 84P
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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.arrow_forwardA nucleus emits a gamma ray of energy 1.0 MeV from a state that has a lifetime of 1.2 ns. What is the uncertainty in the energy of the gamma ray?arrow_forwardThe mean free path length of a 0.7-MeV photon in lead is closest to which of the following? (a)0.1039 cm (b)0.6697 cm (c)0.7038 cm (d)1.1394 cm (e)0.8776 cmarrow_forward
- [06/04, 2:13 PM] +91 93814 04108: The minimum amount of energy required to energize a particle from its ground state to first excited state is 1*10^4 eV. One photon source P1 corresponding to X ray wavelength 1nm and another photon source p2 corresponding to visible light wavelength 500 nm are available. As a physicist, which one of these photons would you choose for energizing the atom? [06/04, 2:14 PM] +91 93814 04108: Draw a neat diagram to show the procedure and show your calculations in detail.arrow_forwardA typical gamma ray emitted from a nucleus during radioactive decay may have an energy of 320 keV. What is its wavelength?arrow_forward4. In Section 1.3 we used dimensional analysis to show that the size of a hydrogen atom can be understood by assuming that the electron in the atom is wave-like and non-relativistic. In this problem we show that, if we assume the electron in the atom is a classical electron described by the theory of relativity, dimensional analysis gives an atomic size which is four orders of magnitude too small. Consider a relativistic, classical theory of an electron moving in the Coulomb potential of a proton. Such a theory only involves three physical constants: m, /4mc9, and e, the maximum velocity in relativity. Show that it is possible to construct a length from these three physical constants, but show that it too small to characterize the size of the atom.arrow_forward
- If the radius of an atom is 5.29 x 10^-11 m. What is the velocity of the electron?arrow_forwardA certain helium ion (Z = 2) contains a single excited electron in the n = 3 quantum state. When this excited electron decays back to its ground state, what is the energy of the emitted photon? Enter the numerical value in units of eV.arrow_forwardThe "Triple-Alpha Process" is a nuclear fusion process that fuses three "He into one 12C, 3 4He → 12C+ energy. (The 4He nucleus is called an "alpha particle," which is related to alpha radiation.) If the nuclei are all in their ground states, and have negligible kinetic energy, how much energy is released in this reaction? Of course, this is not how quantum mechanics works. It's much more likely for this process to occur if the total energy of three "He particles is equal to one of the allowed energy states of 12C. It turns out that there is an excited state of the 12C nucleus, call it 12C*, that is 7.656 MeV above the ground state nucleus. Calculate the mass of 12C* and its binding energy.arrow_forward
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