Explanation The gold nucleus is at rest and the initial kinetic energy of the system is purely due to the α particle. And at the distance of closest approach, the kinetic energy of the α particle is zero. Write the formula for electrical potential energy U = 1 4 π ε 0 q 1 q 2 r (I) Here, U is the electrical potential energy, q 1 and q 2 are the charge of the particle, r is the distance between the two particle, ε 0 is the permittivity of space and 1 4 π ε 0 = 8.988 × 10 9 N ⋅ m 2 / C 2 . Write the formula to find the radius of the nucleus r = ( 1.2 × 10 − 15 m ) A 1 3 (II) Here, r is the radius and A is the mass number. Conclusion: Using conservation of energy, K i + U i = K f + U f K α + 0 = 0 + 1 4 π ε 0 q α q A u r r = 1 4 π ε 0 q α q A u K α Substitute 8.988 × 10 9 N ⋅ m 2 / C 2 for 1 4 π ε 0 , 2 for q α , 79 for q A u , 257 for A F m and 7

Physics for Scientists and Engineers with Modern Physics

4th Edition

ISBN: 9780131495081

Author: Douglas C. Giancoli

Publisher: Addison-Wesley

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Chapter 41, Problem 68GP

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The closest approach that the α particle could get to the gold nucleus and compare it with the size of Au nucleus.

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Chapter 41, Problem 67GP

Chapter 41, Problem 69GP

Chapter 41 Solutions

Physics for Scientists and Engineers with Modern Physics

Ch. 41.2 - Prob. 1AE Ch. 41.2 - Prob. 1BE Ch. 41.4 - Prob. 1CE Ch. 41.8 - Prob. 1DE Ch. 41.8 - Prob. 1EE Ch. 41.8 - Prob. 1FE Ch. 41.8 - Prob. 1GE Ch. 41 - Prob. 1Q Ch. 41 - Prob. 2Q Ch. 41 - Prob. 3Q

Ch. 41 - Prob. 4Q Ch. 41 - Prob. 5Q Ch. 41 - How do we know there is such a thing as the strong...Ch. 41 - Prob. 7Q Ch. 41 - What is the experimental evidence in favor of...Ch. 41 - Prob. 9Q Ch. 41 - Prob. 10Q Ch. 41 - Prob. 11Q Ch. 41 - Prob. 12Q Ch. 41 - Prob. 13Q Ch. 41 - Prob. 14Q Ch. 41 - Prob. 15Q Ch. 41 - When a nucleus undergoes either or + decay, what...Ch. 41 - Prob. 17Q Ch. 41 - Prob. 18Q Ch. 41 - Prob. 19Q Ch. 41 - Prob. 20Q Ch. 41 - An isotope has a half-life of one month. After two...Ch. 41 - Prob. 22Q Ch. 41 - Prob. 23Q Ch. 41 - Prob. 24Q Ch. 41 - Prob. 25Q Ch. 41 - Prob. 26Q Ch. 41 - Prob. 27Q Ch. 41 - Prob. 28Q Ch. 41 - Prob. 1P Ch. 41 - Prob. 2P Ch. 41 - Prob. 3P Ch. 41 - Prob. 4P Ch. 41 - Prob. 5P Ch. 41 - Prob. 6P Ch. 41 - Prob. 7P Ch. 41 - Prob. 8P Ch. 41 - Prob. 9P Ch. 41 - Prob. 10P Ch. 41 - Prob. 11P Ch. 41 - Prob. 12P Ch. 41 - Prob. 13P Ch. 41 - Prob. 14P Ch. 41 - Prob. 15P Ch. 41 - Prob. 16P Ch. 41 - Prob. 17P Ch. 41 - Prob. 18P Ch. 41 - Prob. 19P Ch. 41 - Prob. 20P Ch. 41 - Prob. 21P Ch. 41 - Prob. 22P Ch. 41 - Prob. 23P Ch. 41 - Prob. 24P Ch. 41 - Prob. 25P Ch. 41 - Prob. 26P Ch. 41 - Prob. 27P Ch. 41 - Prob. 28P Ch. 41 - Prob. 29P Ch. 41 - Prob. 30P Ch. 41 - Prob. 31P Ch. 41 - Prob. 32P Ch. 41 - Prob. 33P Ch. 41 - Prob. 34P Ch. 41 - Prob. 35P Ch. 41 - Prob. 36P Ch. 41 - Prob. 37P Ch. 41 - Prob. 38P Ch. 41 - Prob. 39P Ch. 41 - Prob. 40P Ch. 41 - Prob. 41P Ch. 41 - Prob. 42P Ch. 41 - Prob. 43P Ch. 41 - Prob. 44P Ch. 41 - Prob. 45P Ch. 41 - Prob. 46P Ch. 41 - Prob. 47P Ch. 41 - Prob. 48P Ch. 41 - Prob. 49P Ch. 41 - Prob. 50P Ch. 41 - Prob. 51P Ch. 41 - Prob. 52P Ch. 41 - Prob. 53P Ch. 41 - Prob. 54P Ch. 41 - Prob. 55P Ch. 41 - Prob. 56P Ch. 41 - (II) The activity of a radioactive source...Ch. 41 - Prob. 58P Ch. 41 - Prob. 59P Ch. 41 - Prob. 60P Ch. 41 - Prob. 61P Ch. 41 - Prob. 62GP Ch. 41 - Prob. 63GP Ch. 41 - Prob. 64GP Ch. 41 - Prob. 65GP Ch. 41 - Prob. 66GP Ch. 41 - Prob. 67GP Ch. 41 - Prob. 68GP Ch. 41 - Prob. 69GP Ch. 41 - Prob. 70GP Ch. 41 - Prob. 71GP Ch. 41 - Prob. 72GP Ch. 41 - Prob. 73GP Ch. 41 - Prob. 74GP Ch. 41 - Prob. 75GP Ch. 41 - Prob. 76GP Ch. 41 - Prob. 77GP Ch. 41 - Prob. 78GP Ch. 41 - Prob. 79GP Ch. 41 - Prob. 80GP Ch. 41 - (a) A 72-gram sample of natural carbon contains...Ch. 41 - Prob. 82GP Ch. 41 - Prob. 83GP Ch. 41 - Prob. 84GP Ch. 41 - Almost all of naturally occurring uranium is...Ch. 41 - Prob. 86GP Ch. 41 - Prob. 87GP Ch. 41 - Prob. 88GP Ch. 41 - Prob. 89GP Ch. 41 - Prob. 90GP

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