(a) Explanation Given info: The distance between stationary nickel nucleus and alpha particle is 15 fm . The number of electrons present in an alpha particle is 2 . The number of electrons present in nickel nucleus is 28 . The charge on an electron is 1.6 × 10 − 19 C . The formula to calculate charge ( Q ) on particle or nucleus is, Q = n e (1) Here, n is the number of electrons present in nucleus or particle. e is the charge on electron. Rewrite equation (1) to calculate charge on alpha particle ( Q α ) . Q α = n α e (2) Here, n α is the number of electrons present in alpha particle. e is the charge on electron. Substitute 2 for n α and 1.6 × 10 − 19 C for e in equation (2) to find Q α . Q α = 2 × 1.6 × 10 − 19 C = 3.2 × 10 − 19 C Thus, the charge on alpha particle is 3.2 × 10 − 19 C . Rewrite equation (1) to calculate charge on nickel nucleus ( Q Ni ) . Q Ni = n Ni e (3) Here, n Ni is the number of electrons present in nickel nucleus. e is the charge on electron. Substitute 28 for n Ni and 1.6 × 10 − 19 C for e in equation (3) to find Q Ni . Q Ni = 28 × 1.6 × 10 − 19 C = 44.8 × 10 − 19 C Thus, the charge on nickel nucleus is 44.8 × 10 − 19 C . The formula to calculate maximum Coulomb exerted on the α particle ( F ) is, F = k × Q α × Q Ni r 2 (4) Here, k is the Coulomb’s constant (b) To determine The electric potential energy of the α particle at its point of closet approach. (c) To determine The initial kinetic energy of the α particle.

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ISBN: 9780321976444

Author: James S. Walker

Publisher: PEARSON

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Chapter 32, Problem 77GP

(a)

To determine

The maximum Coulomb force exerted on the α particle.

(b)

To determine

The electric potential energy of the α particle at its point of closet approach.

(c)

To determine

The initial kinetic energy of the α particle.

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Chapter 32, Problem 76GP

Chapter 32, Problem 78GP

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Chapter 32 Solutions

Physics (5th Edition)

Ch. 32.1 - Prob. 1EYU Ch. 32.2 - A given nucleus can decay by alpha decay, beta...Ch. 32.3 - Prob. 3EYU Ch. 32.4 - Prob. 4EYU Ch. 32.5 - Prob. 5EYU Ch. 32.6 - Prob. 6EYU Ch. 32.7 - Prob. 7EYU Ch. 32.8 - Prob. 8EYU Ch. 32.9 - Prob. 9EYU Ch. 32 - Prob. 1CQ

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The maximum Coulomb force exerted on the α particle.

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The maximum Coulomb force exerted on the α particle.

The electric potential energy of the α particle at its point of closet approach.

The initial kinetic energy of the α particle.

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Chapter 32 Solutions