Two spherical nuclei have mass numbers 216 and 64 with their radii R₁ and R₂,

Two Spherical Nuclei Have Mass Numbers 216 And 64 With Physics QuestionTwo Spherical Nuclei Have Mass Numbers 216 And 64 With Physics Question

Two spherical nuclei have mass numbers 216 and 64 with their radii R₁ and R₂, respectively. The ratio, R₁/R₂ is equal to

Options

(a) (3:2)
(b) (1:3)
(c) (1:2)
(d) (2:3)

Correct Answer:

(3:2)

Explanation:

Radius of nuclei having mass number A is determined as
R = R₀ A¹/³ (where R₀ = constant)
where, R₀ = 1.2 x 10⁻¹⁵ m
This implies, R₁/R₂ = (A₁/A₂)¹/³ = (216/64)¹/³ = 6/4
R₁:R₂ = 3:2

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