STANDARDPhysics-Nuclear Physics

STANDARD Physics Nuclear Structure MCQ Question

Type: MCQ-conceptual-Medium

The radius of ³²X nuclide is measured to be twice the radius of ⁴⁹Be. The number of neutrons in X is

A

40

B

72

C

32

D

36

Correct Answer

Option B

Detailed Explanation

Nuclear radius, R = R₀A^(1/3), where R₀ = 1.2 × 10⁻¹⁵ m and A = Mass number = No. of nucleons. Given that, RGe = 2RBe. R₀(AGe)^(1/3) = 2 × R₀(ABe)^(1/3). AGe = 2³ × ABe = 8 × 9 = 72. No. of nucleons of Ge, AGe = 72.

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