NEETPhysicsNuclear Physics
Match List-I with List-II regarding the dependence of nuclear properties on mass number A . List-I List-II A. Nuclear Radius I. Independent of A B. Nuclear Volume II. Proportional to A^ 1/3 C. Nuclear Density III. Proportional to A D. Nuclear Mass IV. Proportional to A^ -1/3 Choose the correct answer from the options given below:
Options
- AA - II, B - III, C - I, D - III
- BA - II, B - II, C - III, D - I
- CA - III, B - II, C - I, D - II
- DA - II, B - III, C - III, D - I
Correct answer
A. A - II, B - III, C - I, D - III
Step-by-step solution
The radius of a nucleus is given by R = R₀ A^ 1/3 . Thus, nuclear radius is proportional to A^ 1/3 (A matches to II). The volume of the nucleus is V = 4 3 R^3 = 4 3 R₀^3 A . Thus, nuclear volume is proportional to A (B matches to III). Nuclear density is the ratio of nuclear mass to nuclear volume. Since both mass and volume are approximately proportional to A , nuclear density is independent of A (C matches to I). The mass of a nucleus is approximately equal to A times the mass of a nucleon. Thus, nuclear mass is