Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
An aluminium nucleus has protons and neutrons. Find its mass number and its radius. Then find the ratio of its radius to the radius of a nucleus of mass number .
A nucleus of mass number has a radius with fm, and m. Its mass is about atomic mass units, with kg. The density is the mass over the volume , and it is the same for every nucleus.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. , , and a second nucleus with .
Step 1. The mass number. .
Step 2. The radius. fm.
Step 3. The ratio. The other nucleus has fm. So the ratio is . We could also write .
Answer: , fm, and the ratio is .
Check. A mass number times larger gives a radius only times larger. It fits.
Log in to join the discussion.
Loading…