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A nucleus has mass number and radius R_ . Another nucleus has mass number and radius R_ . If =8 then R_ / R_ is:

Options

  1. A8
  2. B0.5
  3. C2
  4. D1

Correct answer

B. 0.5

Step-by-step solution

Nuclear radius follows R = R₀ A^ 1/3 where A is mass number. Given = 8 , we have R_ = R₀ ^ 1/3 and R_ = R₀ (8 )^ 1/3 = R₀ 2 ^ 1/3 = 2R_ . Thus R_ /R_ = 1/2 = 0.5 .

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