Explanation Given i. A projectile α-particle is headed directly to a target of an aluminum nucleus. ii. Both are considered to be spheres. iii. Assume that the target nucleus remains stationary. 1) Concept The nuclear force an attractive force between nucleons at distances of about 1 femto meter, but it rapidly decreases to insignificance at distances beyond about 2.5 fm. At distances less than 0.7 fm, the nuclear force becomes repulsive. This force can be represented as an electrostatic potential energy U. 2) Equations R = R o A 1/3 , where R o = 1.2 fm U ( r ) = Z 1 e x Z 2 e 4 π ε 0

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Rutherford's scattering experiment

Rutherford’s scattering experiment is also known as the gold foil experiment. This experiment disproved the plum pudding model of J.J. Thomson. In a gold foil experiment, high-energy alpha particles are made to strike a thin gold foil. The scattered alph…

Question

Chapter 42, Problem 86P

To determine

To calculate:

the energy required for the α-particle headed directly to a target of an aluminum nucleus, to just stop momentarily to touch the surface of the aluminum nucleus.

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Chapter 42 Solutions

FUND.OF PHYSICS-WILEYPLUS ACCESS

Ch. 42 - Prob. 1Q Ch. 42 - Prob. 2Q Ch. 42 - Prob. 3Q Ch. 42 - Prob. 4Q Ch. 42 - Prob. 5Q Ch. 42 - Prob. 6Q Ch. 42 - Prob. 7Q Ch. 42 - Prob. 8Q Ch. 42 - Prob. 9Q Ch. 42 - Prob. 10Q

Ch. 42 - Prob. 11Q Ch. 42 - Prob. 12Q Ch. 42 - a Which of the following nuclides are magic:...Ch. 42 - Prob. 14Q Ch. 42 - Prob. 15Q Ch. 42 - Prob. 1P Ch. 42 - Prob. 2P Ch. 42 - A 10.2 MeV Li nucleus is shot directly at the...Ch. 42 - Prob. 4P Ch. 42 - Prob. 5P Ch. 42 - Prob. 6P Ch. 42 - Prob. 7P Ch. 42 - Prob. 8P Ch. 42 - Prob. 9P Ch. 42 - Prob. 10P Ch. 42 - Prob. 11P Ch. 42 - Prob. 12P Ch. 42 - Prob. 13P Ch. 42 - Prob. 14P Ch. 42 - Prob. 15P Ch. 42 - Prob. 16P Ch. 42 - Prob. 17P Ch. 42 - Prob. 18P Ch. 42 - Prob. 19P Ch. 42 - Prob. 20P Ch. 42 - Prob. 21P Ch. 42 - Prob. 22P Ch. 42 - Prob. 23P Ch. 42 - A penny has a mass of 3.0 g. Calculate the energy...Ch. 42 - Prob. 25P Ch. 42 - Prob. 26P Ch. 42 - Prob. 27P Ch. 42 - Prob. 28P Ch. 42 - Prob. 29P Ch. 42 - The half-life of a particular radioactive isotope...Ch. 42 - Prob. 31P Ch. 42 - Prob. 32P Ch. 42 - Prob. 33P Ch. 42 - Calculate the mass of a sample of initially pure...Ch. 42 - Prob. 35P Ch. 42 - Prob. 36P Ch. 42 - Prob. 37P Ch. 42 - A dose of 8.60 Ci of a radioactive isotope is...Ch. 42 - Prob. 39P Ch. 42 - Prob. 40P Ch. 42 - Prob. 41P Ch. 42 - Prob. 42P Ch. 42 - Prob. 43P Ch. 42 - Prob. 44P Ch. 42 - Prob. 45P Ch. 42 - Prob. 46P Ch. 42 - Prob. 47P Ch. 42 - Prob. 48P Ch. 42 - Prob. 49P Ch. 42 - Prob. 50P Ch. 42 - Prob. 51P Ch. 42 - Prob. 52P Ch. 42 - Prob. 53P Ch. 42 - Prob. 54P Ch. 42 - Prob. 55P Ch. 42 - Prob. 56P Ch. 42 - Prob. 57P Ch. 42 - Prob. 58P Ch. 42 - Prob. 59P Ch. 42 - Prob. 60P Ch. 42 - Prob. 61P Ch. 42 - Prob. 62P Ch. 42 - Prob. 63P Ch. 42 - Prob. 64P Ch. 42 - Prob. 65P Ch. 42 - Prob. 66P Ch. 42 - Prob. 67P Ch. 42 - Prob. 68P Ch. 42 - Prob. 69P Ch. 42 - Prob. 70P Ch. 42 - Prob. 71P Ch. 42 - Prob. 72P Ch. 42 - Prob. 73P Ch. 42 - Prob. 74P Ch. 42 - Prob. 75P Ch. 42 - Prob. 76P Ch. 42 - Prob. 77P Ch. 42 - Prob. 78P Ch. 42 - Prob. 79P Ch. 42 - Prob. 80P Ch. 42 - Prob. 81P Ch. 42 - Prob. 82P Ch. 42 - Prob. 83P Ch. 42 - Prob. 84P Ch. 42 - Prob. 85P Ch. 42 - Prob. 86P Ch. 42 - Prob. 87P Ch. 42 - Characteristic nuclear time is a useful but...Ch. 42 - Prob. 89P Ch. 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. 92P Ch. 42 - Prob. 93P Ch. 42 - Prob. 94P Ch. 42 - Prob. 95P Ch. 42 - Prob. 96P Ch. 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.
(a) Calculate the radius of 58Ni, one of the most tightly bound stable nuclei. (b) What is the ratio of the radius of 58Ni to that at 258Ha, one of the largest nuclei ever made? Note that the radius of the largest nucleus is still much smaller than ?le size of an atom.

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