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The ratio of the density of oxygen nucleus O 8 16 and helium nucleus He 2 4 is

Options

  1. A4 : 1
  2. B8 : 1
  3. C1 : 1
  4. D2 : 1

Correct answer

C. 1 : 1

Step-by-step solution

The radius of a nucleus, R is related to its atomic number A as: R = R 0 A 1 3 where R 0 is the nuclear radius of hydrogen. Thus, the density of a nucleus is given by: d = μ A 4 3 π R 0 A 1 3 3 = 3 μ 4 π R 0 3 = Constant (Here, μ is atomic mass unit) Hence, the ratio of nuclear density of oxygen to helium nucleus is 1 : 1

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