Choose the correct statements from the following:

Options

A. Like other light nuclei, the .`_2He^4` nuclei also have a low value of the binding energy per nucleon .
B. The binding energy per nucleon decreases for nuclei with small as well as large atomic number.
C. The energy requuired to remove one neutron from `._3Li^7` to transform it into the isotpes `._3Li^6` is` 5.6 MeV`, which is the same as the binding energy per nucleon of `._3Li^6`
D. When two deuterium ncueli fuse together, they give rise to a tritrium nucleus accompained by a release of energy.

Answer

d,c

Explanation

Statement (A) is in incorrect. The `_(2)He^(4)` nucleus (or the `alpha`-particles) is exceptionally stable and has a much higher value of BE per nucleon than that for most other light nuclei. Statement (b) is correct but the reason of decrease in binding energy is different for the caese of smaller and larger values of A. The reason for the decreases in the BE per nucleon for nuclei with large A is that with an increases in the number of protons, the Coulomb repulsion increase. On the other hand, the decrease in the BE per nucleon for nuclei with small A is due to a surface effect: the nucleons at the surface being less strongly bound than those in the interior.
Statement (c ) is also correct. The energy required to remove one neutron (i.e., one nucleon) is the same as the binding energy per nucleon for a given isotopes.
Statement (d) is incorrect. To ensure both charge and mass number conservaion, a proton must be produced as a by-product of the reaction:
`._1D^2+._1D^2 rarr ._1T^3+._1P^1+Q`.