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Two nuclei, Aluminium ( ²⁷ Al ) and Tellurium ( ¹²⁵ Te ), have mass numbers 27 and 125 respectively. What is the ratio of their nuclear radii and the ratio of their nuclear densities?

Options

  1. A27:125 and 1:1
  2. B3:5 and 1:1
  3. C3:5 and 3:5
  4. D9:25 and 125:27

Correct answer

B. 3:5 and 1:1

Step-by-step solution

The nuclear radius R is related to the mass number A by the empirical formula: R = R₀ A^ 1/3 The ratio of the radii of Aluminium and Tellurium is: R_ Al R_ Te = ( 27 125 )^ 1/3 = 3 5 Nuclear density is approximately constant for all nuclei and is independent of the mass number A . Therefore, the ratio of their nuclear densities is 1:1 . Answer: 3:5 and 1:1

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