Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 43, Problem 4P
(a)
To determine
The de Broglie wavelength of the alpha particle and its comparison with distance of closest approach
(b)
To determine
The reason behind treating alpha particle as a particle.
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T1
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?
While reproducing the Rutherford scattering experiment in an advanced laboratory class, a student uses a gold foil with thickness 28.8 nm. The radioactive source emits α particles at 7.70 MeV, and the detector is placed at 12.5 cm from the target foil. What fraction of the α particles is detected per unit area at an angle of 40.6°?
What fraction of the α particles will scatter to the angle given above or higher?
Chapter 43 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 43.1 - Prob. 43.1QQCh. 43.5 - Prob. 43.3QQCh. 43.5 - Which of the following is the correct daughter...Ch. 43.8 - When a nucleus undergoes fission, the two daughter...Ch. 43.8 - Prob. 43.6QQCh. 43.10 - Prob. 43.7QQCh. 43 - Prob. 1PCh. 43 - Prob. 2PCh. 43 - Prob. 3PCh. 43 - Prob. 4P
Ch. 43 - Prob. 5PCh. 43 - Prob. 7PCh. 43 - Prob. 8PCh. 43 - Prob. 9PCh. 43 - Prob. 10PCh. 43 - Prob. 11PCh. 43 - Prob. 13PCh. 43 - Prob. 15PCh. 43 - Prob. 17PCh. 43 - Prob. 18PCh. 43 - Prob. 19PCh. 43 - Prob. 20PCh. 43 - Prob. 21PCh. 43 - Prob. 22PCh. 43 - Prob. 23PCh. 43 - Prob. 24PCh. 43 - Enter the correct nuclide symbol in each open tan...Ch. 43 - Prob. 26PCh. 43 - Prob. 27PCh. 43 - Prob. 28PCh. 43 - Prob. 29PCh. 43 - Prob. 30PCh. 43 - Prob. 32PCh. 43 - Prob. 33PCh. 43 - Prob. 35PCh. 43 - Prob. 37PCh. 43 - Prob. 39PCh. 43 - Prob. 41PCh. 43 - Prob. 42PCh. 43 - Prob. 44PCh. 43 - Prob. 45APCh. 43 - Prob. 46APCh. 43 - Prob. 47APCh. 43 - Prob. 48APCh. 43 - Prob. 49APCh. 43 - Prob. 50APCh. 43 - Prob. 51APCh. 43 - Prob. 52APCh. 43 - As part of his discovery of the neutron in 1932,...Ch. 43 - Prob. 55APCh. 43 - Prob. 56APCh. 43 - Prob. 58APCh. 43 - Prob. 59APCh. 43 - Prob. 60APCh. 43 - Prob. 62APCh. 43 - Prob. 63APCh. 43 - Prob. 64APCh. 43 - Prob. 65APCh. 43 - Prob. 66CP
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- Alpha particles of kinetic energy 5.4 MeV are incident at a rate of 3.2 x 107 per second on a copper foil of thickness 3.2 x 10-6 m. A circular detector of diameter 1.0 cm is placed 13 cm from the foil at an angle of 30° with the direction of the incident alpha particles. At what rate does the detector measure scattered alpha particles? (The molar mass of copper is 63.5 g/mol and its density is 8.9 g/cm³.) Additional Materials Bookarrow_forwardAlpha 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.arrow_forwardWhen a nucleus decays, the daughter nucleus can be in an excited state. The 93/43Tc nucleus (molar mass 92.910 2 g/mol) in the ground state decays by electron capture and e+ emission to energy levels of the daughter (molar mass 92.906 8 g/mol in the ground state) at 2.44 MeV, 2.03 MeV, 1.48 MeV, and 1.35 MeV. (a) Identify the daughter nuclide. (b) To which of the listed levels of the daughter are electron capture and e+ decay of 93/43Tc allowed?arrow_forward
- A single alpha particle carries a kinetic energy of 6 MeV. What is the maximum amount of energy (in keV) the alpha particle may lose in a single electronic collision? Please use equations derived from (I) the principles of classical mechanics and (II) the principles of relativistic mechanics for the calculation and find whether the results are comparable.arrow_forwardWhat is the ratio of the velocity of a 5.00-MeV β ray to that of an α particle with the same kinetic energy? This should confirm that β s travel much faster than α s even when relativity is taken into consideration.arrow_forwardIn 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_forward
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- Alpha particles of mass m = 6.64 ✕ 10−27 kg and kinetic energy K = 905 keV are projected at a target nucleus. If the alpha particles have a de Broglie wavelength with the same value as the diameter of the target nucleus, determine the radius (in m) of the target nucleus.arrow_forwardA beta-minus particle undergoes a Bremsstrahlung interaction with the nucleus of a tungsten atom. Before the interaction, the beta-minus particle had 690 keV of kinetic energy, and the energy of the Bremsstrahlung photon is 75 keV. How much energy is retained by the beta- minus particle?arrow_forwardThe isotope of Nickel, 66Ni decays by β emission, has a half-life of 2.3 days. and the β particles have an average energy of 65 keV. A source consisting of this isotope has an initial number of atoms N0 = 5 x 1020 atoms. What is the power per unit area initially deposited by this source in a small target placed at 1m distance from the source? Select one: a. 35 W/m2 b. 1.45 W/m2 c. 4.5 kW/m2 d. 7.6 MW/m2arrow_forward
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