Find Nucleus Radius: Mass vs. Formula

[niamh]

How do I find the radius of the nucleus if given the mass? I am asked to compare it with the value found using the formula R= 1.2 A^(1/3)

 

[Morgoth]

you have to take into assumption some stuff...
For example you'll have to assume that the nuclei have constant density...
and you'll have to assume that their shape is given (to be spherical)...

 

[fzero]

Measured values for the radii of select nuclei are available from the IAEA.

 

[niamh]

That's what I was thinking using the relation mass=volume x density, but if I don't know the density how can I use this relation?

 

[mfb]

I think all formulas are basically another way to calculate R= 1.2 A^(1/3) . Sure, you can replace A by the mass divided by the (average) mass of a nucleon, and get a formula like R= const* (mass/density)^(1/3), but that is nothing new.