No, that's where you are mistaken. You will be applying for the two sessions under the same registration number henceforth implying the fact that the same student is appearing for both the exams.

Again, in case if you had asked that what will happen to the ranks if two different students got the same marks, here are the tie-breakers that will help NTA analyse the respective profiles and give the ranks. The rules are as follows:

Candidates with the higher percentile score obtained in Mathematics will be given a better rank.

If the tie still remains unresolved the candidates with higher percentile score in Physics will be awarded a better rank.

If the tie still remains unresolved the candidates with the higher percentile score in Chemistry will be awarded a better rank.

In case the tie is still not resolved, then the candidates older in age to be preferred.