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JEE Advanced 2022 Paper 1

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Question : 32

Total: 54

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 Ebp and the binding energy of a neutron be Ebn in the nucleus.
Which of the following statement(s) is(are) correct?

Ebp−Ebn is proportional to Z(Z−1) where Z is the atomic number of the nucleus.
Ebp−Ebn is proportional to A−‌
1
3
where A is the mass number of the nucleus.
Ebp−Ebn is positive.
Ebp increases if the nucleus undergoes a beta decay emitting a positron.

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