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**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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Topics: Atoms and Nuclei
(136)

Subject: Physics
(2479)

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R=R°A^1/3. (R°=constant

R1÷R2 =(A1÷A2)^1/3

=(216÷64)^1/3

=6÷4.

=> R1:R2 = 3:2