MHT CET2008PhysicsNuclear Physics
Two nuclei have their mass numbers in the ratio of 1: 3 . The ratio of their nuclear densities would be
Options
- A1: 3
- B3: 1
- C(3)^ 1 / 3 : 1
- D1: 1
Correct answer
D. 1: 1
Step-by-step solution
Density of nuclear matter is independent of mass number, so the required ratio is 1: 1 . Alternative A₁: A₂=1: 3 Their radii will be in the ratio aligned R₀ A₁^ 1 / 3 : R₀ A₂^ 1 / 3 =1: 3^ 1 / 3 Density = A 4 3 R³ _ A₁ : _ A₂ = 1 4 3 R₀³ 1³ = 3 4 3 R₀³ (3^ 1 / 3 )³ aligned Their nuclear densities will be the same.