The radius of germanium nuclide is measured to be twice the radius of ₄⁹Be.

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The radius of germanium nuclide is measured to be twice the radius of ₄⁹Be. The number of nucleons in Ge are

Options

(a) 72
(b) 73
(c) 74
(d) 75

Correct Answer:

72

Explanation:

Nuclear radii R = R₀(A)¹/³, where R₀ = 1.2 Fm
(or), R ∝ (A)¹/³
Rʙₑ / Rɢₑ = (9)¹/³ / (A)¹/³ (or), Rʙₑ / 2Rʙₑ = (9)¹/³ / (A)¹/³ (Given: Rɢₑ = 2Rʙₑ)
(A)¹/³ = 2 × (9)¹/³ ⇒ A = 2³ × 9 = 8 × 9 = 72

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Topics: Atoms and Nuclei (136)
Subject: Physics (2479)

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