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The radius of a nucleus as measured by electron scattering is 4.8 ~fm . The mass number of nucleus is most likely to be

Options

  1. A16
  2. B64
  3. C46
  4. D48

Correct answer

B. 64

Step-by-step solution

The radius of a nucleus R is related to its mass number A by the formula R = R₀ A^ 1/3 , where R₀ 1.2 fm . Given R = 4.8 fm , we have 4.8 = 1.2 A^ 1/3 . Dividing both sides by 1.2 , we get A^ 1/3 = 4.8 1.2 = 4 . Cubing both sides, A = 4³ = 64 . Answer: 64

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