Q. Two nuclei have their mass numbers in the ratio of 1 : 3. The ratio of their nuclear densities would be
A) 1 : 1
B) 1 : 3
C) 3 : 1
D) 3^(1/3) : 1
Explanation
[Solution from source] Nuclear radius R = R₀A^(1/3), so volume is proportional to A, just as mass is. Their ratio, the density, is the same for all nuclei, 1 : 1. The 3^(1/3) form is the ratio of radii, not of densities. Answer (1).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.