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JEE Main20203 Sep 2020Evening ShiftPhysicsNuclear PhysicsActual

The radius R of a nucleus of mass number A can be estimated by the formula R = 1 . 3 × 10 - 15 A 1 / 3 m . It follows that the mass density of n nucleus is of the order of: M p r o t ≅ M neut ≃ 1 . 67 × 10 - 27 kg

Options

  1. A10 3   kg   m - 3
  2. B10 10   kg   m - 3
  3. C10 24   kg   m - 3
  4. D10 17   kg   m - 3

Correct answer

D. 10 17   kg   m - 3

Step-by-step solution

_ nucleus = mass volume = A (4 / 3) r₀^3 ~A = 3 4 r ₀^3 =2.3 10¹⁷ ~kg / m ^3

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