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CE Predict/Explain Consider a nucleus that undergoes ß
Chapter 32, Problem 14P(choose chapter or problem)
Problem 14P
CE Predict/Explain Consider a nucleus that undergoes ß decay. (a) Is the radius of the resulting daughter nucleus greater than, less than, or the same as that of the original nucleus? (b) Choose the best explanation from among the following:
I. Capturing a ß particle will cause the radius of a nucleus to increase. Therefore, the daughter nucleus has the greater radius.
II. The original nucleus emits a ß particle, and anytime a particle is emitted from a nucleus the result is a smaller radius. Therefore, the radius of the daughter nucleus is less than the radius of the original nucleus,
III When a nucleus emits a β particle a neutron is convened proton, but the number of nucleons is unchanged. As a result, the radius of the daughter nucleus is the same as that of the original nucleus.
Questions & Answers
QUESTION:
Problem 14P
CE Predict/Explain Consider a nucleus that undergoes ß decay. (a) Is the radius of the resulting daughter nucleus greater than, less than, or the same as that of the original nucleus? (b) Choose the best explanation from among the following:
I. Capturing a ß particle will cause the radius of a nucleus to increase. Therefore, the daughter nucleus has the greater radius.
II. The original nucleus emits a ß particle, and anytime a particle is emitted from a nucleus the result is a smaller radius. Therefore, the radius of the daughter nucleus is less than the radius of the original nucleus,
III When a nucleus emits a β particle a neutron is convened proton, but the number of nucleons is unchanged. As a result, the radius of the daughter nucleus is the same as that of the original nucleus.
ANSWER:
Step 1 of 3
The radius of a nucleus depends upon the total number of nucleons that it contains (equation 32-4). Beta decay involves the emission of an electron from the nucleus, but the number of nucleons remains unchanged. Use these facts to answer the question.