Practice portal › Nuclei › Composition and Size of the Nucleus

The radius of the nucleus of ²⁷₁₃Al is ______ .

Asked in GSEB Board March 2022 · Nuclear radius and density

Answer: (1) 3R₀

Step-by-step solution

Given: A=27 for ²⁷₁₃Al.

Idea: R=R₀A^1/3, where R₀=1.2 fm is the same for every nucleus.

A^1/3=27^1/3=3.

R=3R₀, that is about 3×1.2=3.6 fm.

The cube root is what keeps nuclei so similar in size: 27 times the nucleons buy only 3 times the radius.

Why the other options are wrong

More Composition and Size of the Nucleus questionsAll Composition and Size of the Nucleus questions →

Reading this solution needs no sign-in. You only sign in to practise against the clock and keep your progress.

Practise this with a timer