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MHT CET2008PhysicsNuclear Physics

Two nuclei have their mass numbers in the ratio of 1: 3 . The ratio of their nuclear densities would be

Options

  1. A1: 3
  2. B3: 1
  3. C(3)^ 1 / 3 : 1
  4. 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.

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