What is the ratio of radii of the nuclides and ?

Name: What is the ratio of radii of the nuclides and ?
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Question

What is the ratio of radii of the nuclides  and  ?

Quizplus · Accepted Answer

The radii of nuclides are proportional to cube root of their mass number. The first nuclide has a mass number of 11+82+92 = 185 and the second nuclide has a mass number of 11+82+93 = 186. Taking their cube roots, we get:

Cube root of 185 = 5.959
Cube root of 186 = 6.856

Therefore, the ratio of radii is:

6.856/5.959 = 1.81

Hence, the correct answer is D.

What Is the Ratio of Radii of the Nuclides