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AP EAMCET2014PhysicsNuclear Physics

If the radius of a nucleus with mass number 125 is 1.5 fermi, then radius of a nucleus with mass number 64 is

Options

  1. A0.48 fermi
  2. B0.96 fermi
  3. C1.92 fermi
  4. D1.2 fermi

Correct answer

D. 1.2 fermi

Step-by-step solution

By Rutherford's experiment aligned R₁ & =R₀ A₁^ 1 / 3 R₂ & =R₀ A₂^ 1 / 3 aligned Given aligned R₁ & =1.5 fermi A₁ & =125 A₂ & =64 R₂ & =? aligned Now, R₁ R₂ = ( A₁ A₂ )^ 1 / 3 [from the Eqs. (i) and (ii)] aligned & 1.5 R₂ = ( 125 64 )^ 1 / 3 & 1.5 R₂ = 5 4 & R₂= 1.5 4 5 =0.3 4 & =1.2 fermi aligned

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