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MHT CET Medical202624 April 2026Morning ShiftPhysicsNuclear PhysicsActual

Two spherical nuclei have mass numbers 216 and 64 with their radii R₁ and R₂ respectively. The ratio R₁ R₂ is

Options

  1. A1:2
  2. B1:3
  3. C2:3
  4. D3:2

Correct answer

D. 3:2

Step-by-step solution

The radius of a nucleus is related to its mass number A by the empirical formula: R = R₀ A^ 1/3 For the first nucleus with mass number A₁ = 216 : R₁ = R₀ (216)^ 1/3 = 6 R₀ For the second nucleus with mass number A₂ = 64 : R₂ = R₀ (64)^ 1/3 = 4 R₀ The ratio of their radii is: R₁ R₂ = 6 R₀ 4 R₀ = 3 2 Thus, the ratio is 3:2 . Answer: 3:2

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