AP EAMCET20225 Jul 2022Morning ShiftPhysicsNuclear PhysicsActual
Choose the correct statement of the following
Options
- AThe nuclear density in general, is independent of mass number A .
- BThe radius of nucleus is directly proportional to the mass number A of the nucleus.
- CThe binding energy of a nucleus is inversely proportional to its mass defect.
- DEnergy is observed when heavy nuclei undergo. transmutation into light nuclei.
Correct answer
A. The nuclear density in general, is independent of mass number A .
Step-by-step solution
We know that, the radius (R) of nucleus is given as R=R₀ A^ 1 / 3 or R A^ 1 / 3 Where, aligned R₀ & = constant A & = mass number aligned Nuclear density, = mass volume = m A 4 3 R^3 (here, m is mass of each nucleon) = 3 m 4 R₀^3 Hence, it is clear from above formula, nuclear density is independent of mass number A . The binding energy, E= m c^2 i. e E m Where, m= mass defect Energy is released when heavy nuclei undergo transmutation into light nuclei.