JEE Main202226 Jul 2022Evening ShiftPhysicsNuclear PhysicsActual
Mass numbers of two nuclei are in the ratio of 4 : 3 . Their nuclear densities will be in the ratio of
Options
- A4 : 3
- B3 4 1 3
- C1 : 1
- D4 3 1 3
Correct answer
C. 1 : 1
Step-by-step solution
Radius of nucleus R = R 0   A 1 3 Density of nucleus ρ =   Mass   of   nucleus     volume   of   nucleus   ρ = m × A 4 3 π R 3 Where m : mass of proton or neutron and A : mass number. ⇒ ρ = m × A 4 3 π R 0   3 A ⇒ ρ ∝ A 0 Hence, density of nucleus is independent of mass number. Therefore, the ratio is 1 : 1 .