Two nuclei have their mass numbers into the ratio of 1:3

Two Nuclei Have Their Mass Numbers Into The Ratio Of Physics QuestionTwo Nuclei Have Their Mass Numbers Into The Ratio Of Physics Question

Two nuclei have their mass numbers into the ratio of 1:3. The ratio of their nucleus densities would be

Options

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

Correct Answer:

1 : 1

Explanation:

Required ratio of nuclear densities = ρ₁ / ρ₂
(M₁ / V₁) / (M₂ / V₂) = M₁ / M₂ x V₂ / V₁ = 1/3 x 4/3 πR₂³ / 4/3 πR₁³
1/3 x (R₂ / R₁)³ = 1/3 x (R₀M₂¹/³ / R₀M₁¹/³)³ [ R = R₀M¹/³ ]
= 1/3 x (M₂ / M₁) = 1/3 x (3/1) = 1 : 1

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