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AP EAMCET2013PhysicsNuclear Physics

The radius of ₇₂ Te ¹²⁵ nucleus is 6 fermi. The radius of ₁₃ Al ²⁷ nucleus in meters is

Options

  1. A3.6 10⁻¹² ~m
  2. B3.6 10⁻¹⁵ ~m
  3. C7.2 10⁻⁸ ~m
  4. D7.2 10⁻¹⁵ ~m

Correct answer

B. 3.6 10⁻¹⁵ ~m

Step-by-step solution

The relation between radius (R) and atomic number (A) is R₁ R₂ = ( A₁ A₂ )^ 1 / 3 Given, R₁=6 fermi, A₁=125, A₂=27 aligned 6 R₂ & = ( 125 27 )^ 1 / 3 = 5 3 R₂ & = 6 3 5 = 18 5 =3.6 fermi & =3.6 10⁻¹⁵ ~m aligned

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