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The radius of germanium ( Ge ) nuclide is measured to be twice the radius of 4 9 Be . Calculate the number of nucleons in Ge .

Correct answer

72

Step-by-step solution

Nuclear radius, R = R 0 ( A ) 1 3 , or R ∝ ( A ) 1 3 R ⁡ Be R ⁡ Ge = 9 1 / 3 A ⁡ 1 / 3 or, R ⁡ Be ⁡ 2 R ⁡ Be = 9 1 / 3 A ⁡ 1 / 3 ∵ Given R ⁡ Ge ⁡ = 2 R ⁡ Be ⁡ or ( A ) 1 3 = 2 × ( 9 ) 1 3 or A = 2 3 × 9 = 8 × 9 = 72 ∴ The number of nucleons in Ge is 72 .

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