Four statements are given (A is mass number): A. The volume of a nucleus is proportional to A1/3. B. The volume of a nucleus is proportional to A. C. The difference in mass of an atom and its nucleus is called the mass defect. D. The difference in mass of a nucleus and its constituents is called the mass defect. Choose the correct answer from the options given below:

Solution & Explanation

Related Formula
R = R₀ A1/3 ⇒ V = (4)/(3)π R³ ∝ A Δ m = (Z mₚ + (A-Z) mₙ) - Mnucleus
Core Logic

Since R ∝ A1/3, V ∝ A. Statement A is false and B is true. Mass defect is the difference between mass of nucleus and sum of its constituent nucleons. Statement C is false and D is true.

Pattern Recognition

Nuclear volume proportionality and definition of mass defect.

Chapter Mix

Class 12 Physics: Nuclei

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Nuclei

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Q10 neet_2024_05_may_morning Nuclear Density and Mass Number
An unknown nucleus has a nuclear density of 2.29 × 10¹⁷ kg/m³ and mass of 19.926 × 10⁻²⁷ kg . Its mass number A is approximately: (Take R₀ = 1.2 × 10⁻¹⁵ m, 4π = 12.56 )
  • A. 12
  • B. 19
  • C. 20
  • D. 16

Solution

Related Formula
ρ = (M)/(V) = (M)/((4)/(3)π R³)

R = R₀ A1/3

Core Logic
A = (M)/(ρ) × (3)/(4π R₀³) A = 19.926 × 10⁻²⁷ × 32.29 × 10¹⁷ × 12.56 × (1.2 × 10⁻¹⁵)³ ≈ 12
Pattern Recognition

Relation between mass, volume, nuclear radius, and mass number.

Chapter Mix

Class 12 Physics: Nuclei

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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)