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

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

admin:

Related Questions

  1. What is the Q-value of the reaction? ¹H+⁷Li→⁴He+⁴He
  2. When a ball is thrown up vertically with velocity vₒ,it reaches a maximum height
  3. The voltage of an a.c.supply varies with time (t) as V=120 sin 100 πt the maximum voltage
  4. The core of a transformer is laminated because
  5. The fundamental frequency of a closed organ pipe of length 20 cm is equal to the second