Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 42, Problem 2P
To determine
To calculate:
the distance of closest approach between an α-particle and a Cu nucleus.
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Calculate the distance of closest approach for a head-on collision between a 5.30 MeV alpha particle and a copper nucleus.
An alpha particle with kinetic energy 11.0 Me V
makes a collision with lead nucleus, but it is not
"aimed" at the center of the lead nucleus, and has
an initial nonzero angular momentum (with respect
to the stationary lead nucleus) of magnitude
L%=pob, where po is the magnitude of the initial
momentum of the alpha particle and
b=1.50x10-12m (Assume that the lead nucleus
remains stationary and that it may be treated as a
point charge. The atomic number of lead is 82. The
alpha particle is a helium nucleus, with atomic
number 2.)
Repeat for b=1. 10×10-13 m.
Express your answer in meters.
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Part C
Repeat for b=1.50×10-14 m.
Express your answer in meters.
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 3.45 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.
Chapter 42 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 42 - Prob. 1QCh. 42 - Prob. 2QCh. 42 - Prob. 3QCh. 42 - Prob. 4QCh. 42 - Prob. 5QCh. 42 - Prob. 6QCh. 42 - Prob. 7QCh. 42 - Prob. 8QCh. 42 - Prob. 9QCh. 42 - Prob. 10Q
Ch. 42 - Prob. 11QCh. 42 - Prob. 12QCh. 42 - a Which of the following nuclides are magic:...Ch. 42 - Prob. 14QCh. 42 - Prob. 15QCh. 42 - Prob. 1PCh. 42 - Prob. 2PCh. 42 - A 10.2 MeV Li nucleus is shot directly at the...Ch. 42 - Prob. 4PCh. 42 - Prob. 5PCh. 42 - Prob. 6PCh. 42 - Prob. 7PCh. 42 - Prob. 8PCh. 42 - Prob. 9PCh. 42 - Prob. 10PCh. 42 - Prob. 11PCh. 42 - Prob. 12PCh. 42 - Prob. 13PCh. 42 - Prob. 14PCh. 42 - Prob. 15PCh. 42 - Prob. 16PCh. 42 - Prob. 17PCh. 42 - Prob. 18PCh. 42 - Prob. 19PCh. 42 - Prob. 20PCh. 42 - Prob. 21PCh. 42 - Prob. 22PCh. 42 - Prob. 23PCh. 42 - A penny has a mass of 3.0 g. Calculate the energy...Ch. 42 - Prob. 25PCh. 42 - Prob. 26PCh. 42 - Prob. 27PCh. 42 - Prob. 28PCh. 42 - Prob. 29PCh. 42 - The half-life of a particular radioactive isotope...Ch. 42 - Prob. 31PCh. 42 - Prob. 32PCh. 42 - Prob. 33PCh. 42 - Calculate the mass of a sample of initially pure...Ch. 42 - Prob. 35PCh. 42 - Prob. 36PCh. 42 - Prob. 37PCh. 42 - A dose of 8.60 Ci of a radioactive isotope is...Ch. 42 - Prob. 39PCh. 42 - Prob. 40PCh. 42 - Prob. 41PCh. 42 - Prob. 42PCh. 42 - Prob. 43PCh. 42 - Prob. 44PCh. 42 - Prob. 45PCh. 42 - Prob. 46PCh. 42 - Prob. 47PCh. 42 - Prob. 48PCh. 42 - Prob. 49PCh. 42 - Prob. 50PCh. 42 - Prob. 51PCh. 42 - Prob. 52PCh. 42 - Prob. 53PCh. 42 - Prob. 54PCh. 42 - Prob. 55PCh. 42 - Prob. 56PCh. 42 - Prob. 57PCh. 42 - Prob. 58PCh. 42 - Prob. 59PCh. 42 - Prob. 60PCh. 42 - Prob. 61PCh. 42 - Prob. 62PCh. 42 - Prob. 63PCh. 42 - Prob. 64PCh. 42 - Prob. 65PCh. 42 - Prob. 66PCh. 42 - Prob. 67PCh. 42 - Prob. 68PCh. 42 - Prob. 69PCh. 42 - Prob. 70PCh. 42 - Prob. 71PCh. 42 - Prob. 72PCh. 42 - Prob. 73PCh. 42 - Prob. 74PCh. 42 - Prob. 75PCh. 42 - Prob. 76PCh. 42 - Prob. 77PCh. 42 - Prob. 78PCh. 42 - Prob. 79PCh. 42 - Prob. 80PCh. 42 - Prob. 81PCh. 42 - Prob. 82PCh. 42 - Prob. 83PCh. 42 - Prob. 84PCh. 42 - Prob. 85PCh. 42 - Prob. 86PCh. 42 - Prob. 87PCh. 42 - Characteristic nuclear time is a useful but...Ch. 42 - Prob. 89PCh. 42 - Using a nuclidic chart, write the symbols for a...Ch. 42 - If the unit for atomic mass were defined so that...Ch. 42 - Prob. 92PCh. 42 - Prob. 93PCh. 42 - Prob. 94PCh. 42 - Prob. 95PCh. 42 - Prob. 96PCh. 42 - Prob. 97P
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- (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.arrow_forwardIn 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?arrow_forwardIonizing radiation enters a Geiger tube with 1.50 MeV of energy. As the radiation passes through the tube, all of this energy goes into creating ion pairs and each ion pair requires 30 eV of energy. (a)If an applied voltage sweeps these ions out of the gas in 1.30 µs, determine the current (in A). (b)Since the applied voltage in the Geiger tube accelerates these separated ions, creating other ion pairs in subsequent collisions, the actual current is greater than that determined in part (a). If this effect multiplies the number of ion pairs by 875, determine the actual current (in A).arrow_forward
- In a Rutherford scattering experiment, alpha particles having kinetic energy of 7.70 MeV are fired toward a gold nucleus that remains at rest during the collision. The alpha particles come as close as 29.5 fm to the gold nucleus before turning around. (a) Calculate the de Broglie wavelength for the 7.70-MeV alpha particle and compare it with the distance of closest approach, 29.5 fm. (b) Based on this comparison, why is it proper to treat the alpha particle as a particle and not as a wave in the Rutherford scattering experiment?arrow_forwardPlease don't provide handwritten solution .... A sample of oxygen gas is irradiated with MgKα1α2 radiation of 0.99 nm (1253.6 eV). A strong emission of electrons with velocities of 1.57* 10^7 ms^−1 is found. What is the binding energy of these electrons?arrow_forward(a) If the average molecular mass of compounds in food is50.0 g, how many molecules are there in 1.00 kg of food? (b)How many ion pairs are created in 1.00 kg of food, if it isexposed to 1000 Sv and it takes 32.0 eV to create an ionpair? (c) Find the ratio of ion pairs to molecules. (d) If theseion pairs recombine into a distribution of 2000 newcompounds, how many parts per billion is each?arrow_forward
- What fraction of 5-MeV alpha particles will be scattered through an angle greater than 8° from a gold foil (Z=79, density = 19.3 g/cm^3) of thickness of 10^-8m?arrow_forwardIonizing radiation enters a Geiger tube with 1.30 MeV of energy. As the radiation passes through the tube, all of this energy goes into creating ion pairs and each ion pair requires 30 eV of energy. (a) If an applied voltage sweeps these ions out of the gas in 1.10 µs, determine the current (in A). (b)Since the applied voltage in the Geiger tube accelerates these separated ions, creating other ion pairs in subsequent collisions, the actual current is greater than that determined in part (a). If this effect multiplies the number of ion pairs by 920, determine the actual current (in A).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. 7.6 MW/m2 c. 1.45 W/m2 d. 4.5 kW/m2arrow_forward
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