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99 Percentile Qs Bank for JEE MainPhysicsNuclear Physics

Choose the correct statement of the following

Options

  1. AThe nuclear density in general, is independent of mass number A .
  2. BThe radius of nucleus is directly proportional to the mass number A of the nucleus.
  3. CThe binding energy of a nucleus is inversely proportional to its mass defect.
  4. 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.

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