Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 30, Problem 21P
To determine

Part (a):

The nucleus B48e is unstable and will decay into 2 α particles.

Expert Solution
Check Mark

Answer to Problem 21P

Solution:

Since binding energy of B48e is lesser than that of two He nucleus, B48e will decay into two alpha particles.

Explanation of Solution

Formula used:

Binding energy is Δmc2.

The binding energy of two Helium nuclei is 56.4MeV. Since binding energy of B48e is lesser than that of two He nucleus, B48e will decay into two alpha particles.

Calculation:

Mass of B48e is 8.005305u. Mass of neutron n01 is 1.008665u. Mass of proton H11 is 1.007825u.

Mass defect is Δm=4×1.007825u+×41.008665u8.005305u=0.058459u.

Binding energy 0.058459u×931.5MeVu=54.455MeV.

To determine

Part (b):

The nucleus C612 is stable against decay into 3 α particles.

Expert Solution
Check Mark

Answer to Problem 21P

Solution:

Yes. Binding energy of C612 is positive.

Explanation of Solution

Formula used:

Binding energy is Δmc2.

Binding energy of C612 is positive. Hence, C612 is stable against decay into 3 α particles.

Calculation:

Mass of C612 is 12.000000u. Mass of neutron n01 is 1.008665u. Mass of proton H11 is 1.007825u.

Mass defect is Δm=6×1.007825u+6×1.008665u12.0u=0.09894u.

Binding energy 0.09894u×931.5MeVu=92.16MeV.

Chapter 30 Solutions

Physics: Principles with Applications

Ch. 30 - Prob. 11QCh. 30 - Prob. 12QCh. 30 - Prob. 13QCh. 30 - Prob. 14QCh. 30 - Prob. 15QCh. 30 - Prob. 16QCh. 30 - Prob. 17QCh. 30 - Prob. 18QCh. 30 - Prob. 19QCh. 30 - Prob. 20QCh. 30 - Prob. 21QCh. 30 - Prob. 22QCh. 30 - Prob. 23QCh. 30 - Prob. 24QCh. 30 - Prob. 25QCh. 30 - Prob. 1PCh. 30 - Prob. 2PCh. 30 - Prob. 3PCh. 30 - Prob. 4PCh. 30 - Prob. 5PCh. 30 - Prob. 6PCh. 30 - Prob. 7PCh. 30 - Prob. 8PCh. 30 - Prob. 9PCh. 30 - Prob. 10PCh. 30 - Prob. 11PCh. 30 - Prob. 12PCh. 30 - Prob. 13PCh. 30 - Prob. 14PCh. 30 - Prob. 15PCh. 30 - Prob. 16PCh. 30 - Prob. 17PCh. 30 - Prob. 18PCh. 30 - Prob. 19PCh. 30 - Prob. 20PCh. 30 - Prob. 21PCh. 30 - Prob. 22PCh. 30 - Prob. 23PCh. 30 - Prob. 24PCh. 30 - Prob. 25PCh. 30 - Prob. 26PCh. 30 - Prob. 27PCh. 30 - Prob. 28PCh. 30 - Prob. 29PCh. 30 - Prob. 30PCh. 30 - Prob. 31PCh. 30 - Prob. 32PCh. 30 - Prob. 33PCh. 30 - Prob. 34PCh. 30 - Prob. 35PCh. 30 - Prob. 36PCh. 30 - Prob. 37PCh. 30 - Prob. 38PCh. 30 - Prob. 39PCh. 30 - Prob. 40PCh. 30 - Prob. 41PCh. 30 - Prob. 42PCh. 30 - Prob. 43PCh. 30 - Prob. 44PCh. 30 - Prob. 45PCh. 30 - Prob. 46PCh. 30 - Prob. 47PCh. 30 - Prob. 48PCh. 30 - Prob. 49PCh. 30 - Prob. 50PCh. 30 - Prob. 51PCh. 30 - Prob. 52PCh. 30 - Prob. 53PCh. 30 - Prob. 54PCh. 30 - Prob. 55PCh. 30 - Prob. 56PCh. 30 - Prob. 57PCh. 30 - Prob. 58GPCh. 30 - Prob. 59GPCh. 30 - Prob. 60GPCh. 30 - Prob. 61GPCh. 30 - Prob. 62GPCh. 30 - Prob. 63GPCh. 30 - Prob. 64GPCh. 30 - Prob. 65GPCh. 30 - Prob. 66GPCh. 30 - Prob. 67GPCh. 30 - Prob. 68GPCh. 30 - Prob. 69GPCh. 30 - Prob. 70GPCh. 30 - Prob. 71GPCh. 30 - Prob. 72GPCh. 30 - Prob. 73GPCh. 30 - Prob. 74GPCh. 30 - Prob. 75GPCh. 30 - Prob. 76GPCh. 30 - Prob. 77GPCh. 30 - Prob. 78GP

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