JEE Advanced 2022 Physics question

The binding energy of nucleons in a nucleus can be affected by the pairwise Coulomb repulsion. Assume that all nucleons are uniformly distributed inside the nucleus. Let the binding energy of a proton be and the binding energy of a neutron be in the nucleus. Which of the following statement(s) is(are) correct?

(A) is proportional to where is the atomic number of the nucleus.Correct
(B) is proportional to where is the mass number of the nucleus.Correct
(C) is positive.
(D) increases if the nucleus undergoes a beta decay emitting a positron.Correct

Answer: (A),(B),(D)

Solution

Apart from the Coulomb repulsion, protons and neutrons are bound alike, so arises entirely from the electrostatic energy of the protons. For protons uniformly distributed in a sphere of radius , the pairwise Coulomb energy is $ =

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-033985