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The radius of germanium ( G e ) nuclide is measured to be twice the radius of B e 4 9 . The number of nucleons in Ge are

Options

  1. A73
  2. B74
  3. C75
  4. D72

Correct answer

D. 72

Step-by-step solution

Let the radius of B e 4 9 nucleus be r . Then, radius of germanium ( Ge ) nucleus will be 2 r . Radius of nucleus is given by R = R 0 A 1 / 3 ∴                 R 1 R 2 = A 1 A 2 1 / 3 ⇒     r 2 r = 9 A 2 1 / 3                     ( ∵ A 1 = 9 ) ⇒   1 2 3 = 9 A 2 Hence, A 2 = 9   ×   2 3   = 9 × 8 = 72 Thus, in germanium ( G e ) nucleus number of nucleons

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