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NTA Abhyas JEE Main2020PhysicsNuclear PhysicsPractice

Two nuclei have mass numbers in the ratio 8 : 125 . The ratio of their nuclear radii is:

Options

  1. A5 : 3
  2. B3 : 5
  3. C5 : 2
  4. D2 : 5

Correct answer

D. 2 : 5

Step-by-step solution

Here , R = R 0 A 1 / 3 Since, R = R 0 A 1 / 3 ∴ R 1 R 2 = A 1 1 3 A 2 1 3 = ( A 1 A 2 ) 1 3 = ( 8 125 ) 1 3 = 2 5 ∴ The ratio of their radii = 2 : 5

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